Find the measure of each angle indicated.

A. 111 degree
B. 69 degree

Help!!!

Find The Measure Of Each Angle Indicated.A. 111 DegreeB. 69 DegreeHelp!!!

Answers

Answer 1

Answer: A. 111 degree

Step-by-step explanation:

Because they are Alternate Interior angles! Which means the two angles are congruent and have the same degree!

Answer 2
It would be A!
Because they are alternate interior angles and alternate interior angles will always have the same measures if they are on opposite sides from each other!

Related Questions

Evaluating Expressions with Exponents

What is the value of the expression 3^3 + 1 x 2

Answers

Answer:

29

Step-by-step explanation:

First, you will calculate 3 cubed, which is 27, and then multiply 1 and 2. That will result in 27+2 which will be 29

The latitude of any location on Earth is the angle formed by the two rays drawn from the center of Earth to the
location and to the equator. The ray through the location is the initial ray. Use 3960 miles as the radius of the Earth.
Suppose City A is due north of City B. Find the distance between City A (north latitude 45°28′ N) and City B (latitude
39°52' N).

Answers

The distance between City A (north latitude 45°28′ N) and City B (latitude 39°52' N) is 286 miles.

What is latitude?

Latitude is the measurement of distance north or south of the Equator. It is measured with 180 imaginary lines that form circles around Earth east-west, parallel to the Equator. These lines are known as parallels.

The measure of the central angel is 45°28' - 39°52' = 5.8'

8' = 8 ° / 60

   = 0.133333

θ = 4° + 0.133333

  = 4.133333° × [tex]\frac{\pi }{180}[/tex]

  = 4.133333° × 0.017453

  ≈ 0.072140 radian

now , θ  ≈ 0.072140 radian and r = 3960 miles

S  = θ r

   = 3960 × 0.072140

   ≈ 285.6744

S = 286 miles

Therefore, the distance between City A (north latitude 45°28′ N) and City B (latitude 39°52' N) is 286 miles.

To learn more about latitude check the given link

brainly.com/question/28716317

#SPJ1  

Challenge Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Andy needs 23 feet of the wire. Emily needs 15 yards of the wire. How much will each of them spend for wire?

Answers

Andy spent $8.28 on 23 feet wire and Emily spent $16.2 on 15 yards wire.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

From the table, we have (110, 3.30) and (145, 4.35).

Here, slope (m)=(y2-y1)/(x2-x1)

m=(4.35-3.30)/(145-110)

= 1.05/35

= 0.03

Substitute, m=0.03 and (x, y)=(110, 3.30) in y=mx+c we get

3.30=0.03(110)+c

3.30=3.3+c

c=0

Substitute, m=0.03 and c=0 in y=mx+c we get

y=0.03x

Andy needs 23 feet of the wire.

So, 23 feet =23×12

= 276 inches

Cost of 276 inches wire is y=0.03×276=$8.28

Emily needs 15 yards of the wire.

So, 15 yards =15×36

= 540 inches

Cost of 540 inches wire is y=0.03×540=$16.2

Therefore, Andy spent $8.28 on 23 feet wire and Emily spent $16.2 on 15 yards wire.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

find the exact length of the curve. y = ln 1 − x2 , 0 ≤ x ≤ 1 6

Answers

The exact length of the curve: y = ln 1 − x^2 , 0 ≤ x ≤ 1 6 will be[tex]$$\int \frac{d x}{a^2-x^2}=\frac{1}{2 a} \ln \left|\frac{a+x}{a-x}\right|+c$$[/tex]

[tex]$$\begin{aligned}y & =\ln \left(1-x^2\right), \quad 0 \leq x \leq \frac{1}{6} \\\frac{d y}{d x} & =\frac{1}{1-x^2} \cdot \frac{d}{d x}\left(1-x^2\right) \quad\left\{\frac{d}{d u} \ln u=\frac{1}{u}\right\} . \\& =\frac{-2 x}{1-x^2}\end{aligned}$$[/tex]

Now, the length of the curve is given by

[tex]$$\begin{aligned}L & =\int_a^b \sqrt{1+\left(\frac{d y}{d x}\right)^2} d x \\& =\int_0^{1 / 6} \sqrt{1+\left(\frac{-2 x}{\left.1-x^2\right)^2}\right.} d x \\& =\int_0^{1 / 6} \frac{\sqrt{\left(1-x^2\right)^2+4 x^2}}{\left(1-x^2\right)} d x \\& =\int_0^{1 / 6} \frac{\sqrt{1+x^4-2 x^2+4 x^2}}{\left(1-x^2\right)} d x\end{aligned}$$[/tex]

[tex]=\int_0^{1 / 6} \frac{\sqrt{1+x^4+2 x^2}}{1-x^2} d x\\\\=\int_0^{1 / 6} \frac{\sqrt{\left(1+x^2\right)^2}}{1-x^2} d x\\\\=\int_0^{1 / 6} \frac{1+x^2}{1-x^2} d x[/tex]

Now, since the degree of Numerator & degree of Denominator are the same,

So, we will perform a long division process

[tex]$$\begin{aligned}& \therefore \frac{1+x^2}{1-x^2}=-1+\frac{2}{1-x^2} \quad\left\{\begin{array}{l}1-x^2 \frac{-1}{\frac{x^2+1}{x^2+1}} \\\frac{2}{2}\end{array}\right. \\& \therefore L=\int_0^{1 / 6}\left(-1+\frac{2}{1-x^2}\right) d x \\&\end{aligned}$$[/tex]

[tex]$$\begin{aligned}& =\left[-x+2 \cdot \frac{1}{(271} \ln \left|\frac{1+x}{1-x}\right|\right]_0^{1 / 6} \\& =\left(-\frac{1}{6}+\ln \left|\frac{1+1 / 6}{1-1 / 6}\right|\right)-\left(0+\ln \left|\frac{1+0}{1-0}\right|\right) \\& =-\frac{1}{6}+\ln \left(\frac{7 / 6}{5 / 6} \cdot-(0+0)\right.\end{aligned}$$[/tex]

[tex]L=\frac{-1}{6}+\ln \left(\frac{7}{5}\right)\\[/tex]

L=0.1698 approximately 0.17 units

For more questions on Length of curve

https://brainly.com/question/29364263

#SPJ4

The sum of 30 and 40 by factoring out the greatest common factor

Answers

Answer:

To find the sum of 30 and 40 by factoring out the greatest common factor, first you need to find the greatest common factor (GCF) of both numbers. The GCF of 30 and 40 is 10. Then, you can divide both numbers by 10 to get 3 and 4 respectively. Finally, add the numbers together to get the sum of 7. Therefore, the sum of 30 and 40 by factoring out the greatest common factor is 7.

help me with this problem

Answers

Answer:

I x I > 6

Step-by-step explanation:

How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? O 9^6 O 9!/8 O C(9,6)O 9!O 9!/6

Answers

In the given word "WISCONSIN" there are exactly 9 letters, but some are repeated, so we can rearrage the letters in the word in 9!/8 ways.

What is permutation?

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems. Permutations are commonly mistaken with combinations, a different mathematical concept. The sequence in which the components are selected does not, however, affect combinations. In other words, whereas ab and be are equivalent in combinations, they are deemed to be distinct arrangements in permutations.

What is the formula for calculating the permutation?

The formula for calculating the permutation is:

p(n,k) = n! /(n-k)!

where , n - Total number of elements in a set

             k - Number of selected elements

In the above question , the number of ways to rearrange 9 letters would be 9! but, since there are 2Ss , 2Ns and 2Is so the number of ways to rearrange 9-letter strings will be:

9!/(2!*2!*2!) = 9!/8

To learn more about permutation visit:

https://brainly.com/question/1216161

#SPJ4

For what values of a and b does √a + √b = √a+b?

Answers

Answer:

Isolate the radical, then raise each side of the equation to the power of its index a=0

Step-by-step explanation:

a + b is not identity

Keith buy 3 yard of material to make a blanket. He trim off a total of 1/6 yard before he begin ewing. How much material remain for the blanket?

Answers

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

Learn more about multiplication -

https://brainly.com/question/10873737

#SPJ4

Find the lengths of the hypotenuses (x) of the triangle whose legs are given

1) 5cm,12cm

Answers

a = 5 cm

b = 12 cm

c = ?

c = √{ a² + b }

c = √{ 5² + 12² }

c = √{ 25 + 144 }

c = 13 cm

____

A student walks 3 blocks south, 4 blocks west, and 3 blocks north. What is the displacement of the student?.

Answers

The displacement of the student after taking mentioned path is 4 blocks.

Lets understand the displacement before heading to calculations. So, displacement is the shortest distance between initial and final points. The distance is the total path covered. In this problem, we see that 3 blocks covered in South direction were equated by 3 blocks covered in North direction.

So, the displacement is the distance covered in West direction. Based on this, the displacement of the student is 4 blocks in treading mentioned path.

Learn more about displacement -

https://brainly.com/question/248054

#SPJ4

What is the average rate of change of the function y = 3 sin(2x) on the interval [0,π4] ?

Answers

The average rate of change of the trigonometric function f(x) = 3 · sin 2x on the interval [0, π / 4] is 12 / π. (Correct choice: D)

How to find the average rate of change of a trigonometric function in a given interval

In this question we need to determine the average rate of change of a trigonometric function on the interval [0, π / 4]. Graphically speaking, the average rate of change is represented by a line secant to the curve of the function, whose definition is shown below:

m = [f(π / 4) - f(0)] / (π / 4 - 0)

If we know that f(x) = 3 · sin 2x, then the average rate of change is:

m = [3 · sin (π / 2) - 3 · sin 0] / (π / 4 - 0)

m = (3 - 0) / (π / 4)

m = 12 / π

The average rate of change of the function is 12 / π.

To learn more on average rates of change: https://brainly.com/question/28744270

#SPJ1

Find the equation of a line parallel to the line 2x + y -7 =0 and passing through the intersection of the lines x + y -4 = 0 and 2x – y = 8 .

With explanation
Can someone please help me

Answers

Answer:  y = 2x - 8.

Step-by-step explanation:

To find the equation of a line parallel to the given line, we need to find the slope of that line. The slope of the line 2x + y - 7 = 0, this can be found by taking the coefficient of the x term and the y term and dividing them. In this case, the slope is 2/1 = 2.

Now that we know the slope of the line we want to find, we can use the slope-intercept form of the line, y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). Since the line we are looking for is parallel to the given line, it will have the same slope, so we can use the same value for m.

The line x + y - 4 = 0 and 2x – y = 8 intersect at the point (4,0). We can use this point to find the value of b in the equation y = 2x + b. Substituting the values from the intersection point, we get 0 = 2(4) + b, which simplifies to b = -8.

Therefore, the equation of the line that is parallel to the given line and passes through the intersection of the two lines is y = 2x - 8.

The diagram shows a rhombus inside a regular hexagon.
Work out the size of angle x.
X

Answers

Answer: 60 degrees

Step-by-step explanation:

Make the hexagon into a bunch of equilateral triangles, and split the rhombus into two equilateral triangles.

Answer:

60°

----------------------------

Sides of the given rhombus are parallel to sides of the hexagon.

If you extend sides of the rhombus they will make diagonals connecting opposite vertices..

These diagonals are angle bisectors and hence the angle x if half the interior angle of the hexagon:

x = 120°/2 = 60°

Indiana University Bloomington posts the grade distributions for its courses online. In a recent semester of a Business Statistics course, 45.7% of students received A's, 36.2% B's, 13.8% C's, 3.2% D's, and 1.1% F°s. Choose a Business Statistics student at random. The student's grade on a 4-point scale (with A = 4) is a random variable X with this probability distribution:

Answers

The student's grade on a 4-point scale (with A = 4) is a random variable X with a discrete probability distribution.

What are discrete and continuous probability distributions?

The probabilities distributions are classified as discrete or continuous depending on the values assumed by their input variables, as follows:

Discrete distribution: Data can take only certain values.Continuous distribution: Data can take all values in a range.

The students grades have these possible outcomes:

A = 4.B = 3.C = 2D = 1.F = 0.

As there are only certain values, this is a discrete distribution.

Missing Information

The problem asks to classify the distribution of the student's grade as discrete or continuous.

More can be learned about discrete probability distributions at https://brainly.com/question/27899440

#SPJ1

can anybody solve these for me? i have the answers written but i don’t know if they’re correct. it’s special right triangle. some are the 45-45-90 rule and some are the 30-60-90 rule. thanks!

Answers

The values of the x and y are:

I) x = 20 and y = 10√2.

J) x = 16.97 and y = 33.94.

K) x = 9.89 and y = 24.49.

L) x =  35.75 and y = 123.84.

What is the 45-45-90 rule and 30-60-90 rule?

One of these right triangles is known as a 45-45-90 triangle because its angles are 45 degrees, 45 degrees, and 90 degrees. This is a right triangle that is isosceles. The other triangle is known as a 30-60-90 triangle because its angles are 30 degrees, 60 degrees, and 90 degrees.

We have,

special right triangle, some are the 45-45-90 rule and some are the 30-60-90 rule.

in the 45-45-90 leg of the triangle is equal to a, then:

The second leg is also equal to a;

The hypotenuse is a√2;

The area is equal to a²/2; and

The perimeter equals a(2 + √2).

Assume that the shorter leg of a 30 60 90 triangle is equal to a. Then:

The second leg is equal to a√3;

The hypotenuse is 2a;

I) in the first triangle:

The second leg is also equal to y = 10√2;

The hypotenuse is y√2:

= y√2

= (10√2)√2

= 20

so, x = 20 and y = 10√2.

J) in the second is of 30-60-90 triangle:

x√3 = 12√6

x = 12√6 / √3

x = 16.97

y = 2x = 16.97 * 2

y = 33.94

so, x = 16.97 and y = 33.94.

K) the third diagram is of a 30-60-90 triangle:

2x = 14√2

x = 14√2 / 2

x = 9.89  = 10

z = x√3 = 10√3

y = z√2 = 10√3 * √2

y = 24.49

so, x = 9.89 and y = 24.49.

L) the fourth diagram is of a 30-60-90 triangle:

z = 16√10 * √2

= 71.5

2x = 71.5

x =  35.75

y = x√3

y = 123.84

so, x =  35.75 and y = 123.84.

Hence, the values of the x and y are:

I) x = 20 and y = 10√2.

J) x = 16.97 and y = 33.94.

K) x = 9.89 and y = 24.49.

L) x =  35.75 and y = 123.84.

To learn more about the 45-45-90 rule and 30-60-90 rule visit,

https://brainly.com/question/12014631

#SPJ1

Consider the functions f(x) = 23x 5 and g(x) = 32x 7. what do the slopes indicate about the lines?

Answers

The lines of the functions f(x) = ²/₃x - 5 and g(x) = -³/₂x + 7 have slopes that are negative reciprocals and are said to be perpendicular lines.

How to interpret the slope of a linear equation?

The general formula for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are given the linear equations as; f(x) = ²/₃x - 5 and g(x) = -³/₂x + 7

Now, when two lines are parallel, their slopes will be the same and equal. However, when two lines are perpendicular, their slopes will be a negative reciprocal of each other.

In our given functions, we see that the slope of g(x) is a negative reciprocal of the slope of f(x). Thus, both lines are concluded to be perpendicular to each other.

Read more about slope of linear equation at; https://brainly.com/question/1884491

#SPJ1

The complete question is;

Consider the functions f(x) = ²/₃x - 5 and g(x) = -³/₂x + 7. what do the slopes indicate about the lines?

Answer the questions below. Be sure to mark all answers that apply.
(a) Which numbers are divisible by 5?
(b) Which numbers are divisible by 10?
(c) Which numbers are divisible by 2?
435
859 850
0
None of these

Answers

a) 435; 859,850; and 0 are all divisible by 5
b) 859,850 and 0 are divisible by 10
c) 859,850 and 0 are divisible by 2

The base of a triangle is twich the height of the triangle. If the area is 16 square inches, what is the height?.

Answers

The height of a triangle when the area is 16 inches h=4

The area of the triangle(A) is given by:

A=1/2bh---(1)

where,

b is the base

h is the height

As per the statement:

The area of a triangular block is 16 square inches.

A=16 in

It is given:  If the base of the triangle is twice the height

b=2h---(2)

Substitute these in [1] we have;

A=1/2bh

16=1/2(2h)h

h^2=16

h=4in

Substitute h =4 in [2] we have;

b=2h

b=2(4)

b=8in.

Therefore, the base and height of the triangle are 8 inches and 4 inches.

To know more about the Area of Triangle:

https://brainly.com/question/973365

#SPJ4

if Johnny has 123 apples falling from a feet of 500 how many seconds will it take for it to fall​

Answers

It will take approximately 12.3 seconds for the apples to fall to the ground.

What is gravity?

A strong, invisible force called gravity pulls everything on Earth down. Gravity keeps you and all the things that are around you from floating up into the sky. An example of gravity in action is when you jump from the ground. Gravity is the force that pulls you back down.

To find the time taken to fall to the ground

Using the formula;

[tex]H = \frac{1}{2} gt^{2}[/tex]

where H = 500 feet

Converting feet to meters

H = 152.4 meters

152.4 = [tex]\frac{1}{2} (9.8)t^{2}[/tex]

152.4 = [tex]4.9t^{2}[/tex]

[tex]t^{2} = 152.4[/tex]

[tex]t = \sqrt{152.4}[/tex]

t = 12.3seconds

Learn more about gravity: https://brainly.com/question/88039

#SPJ1

given 12 points on a plane, no three of which are collinear, what is the number of lines that can run through any two of these points?

Answers

The number of lines that can run through any two of these points is 66

What are Collinear Points?

Points that are on the same straight line are referred to as collinear points. They must lie on the same straight line, even if they don't have to be co-planar. The Latin terms "col" and "linear," where "col" means "together" and "linear" means "in the same line," are the source of the English word "colinear." Collinearity is the state of being shared by two points.

A group of three or more points that are located along the same straight line is called a collinear point. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line.

12 points are given, not three of which are collinear.

∴ Number of lines formed = ¹² C ₂

= 12!/ 10!⋅2!

=66

Know more about collinear at:

https://brainly.com/question/24391959

#SPJ4

If m21 = 80°, then m22 is:
60°
80°
100°
None of these choices are correct.

Answers

Angle 1 = 80°
Angle 2 is equal to angle one bc they are alternate interior angles.

Angle 2 = 80°

I NEED THIS SO BAD PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:
blank one is 10, and the second problem is x=25, <ACB = 115
Step-by-step explanation:
don't put classwork on here man, that's lazy

a given exam has a normal distribution with a mean of 70 and a standard deviation of 10. a sample of size 25 is selected. what percentage of the time would you expect the mean of this sample size to fall below 66?

Answers

Answer:

we would expect the mean of the sample to fall below 66 about 5% of the time

Step-by-step explanation:

To answer this question, we can use the 68-95-99.7 rule, which states that in a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

In this case, the mean of the sample is 70 and the standard deviation is 10, so the values that fall within one standard deviation of the mean are between 60 and 80. The values that fall below 66 are outside of this range, so we need to determine what percentage of the values fall within two standard deviations of the mean.

The values that fall within two standard deviations of the mean are between 50 and 90, so the percentage of values that fall below 66 is approximately (100 - 95) = 5%.

Therefore, we would expect the mean of the sample to fall below 66 about 5% of the time.

State if the two triangles are congruent based on the given information. If they are, state
how you know (SSS, SAS, ASA, or HL). (2pts each)


Answers

The triangle LMO and LNO are, if LM ≅ ON, ∠ M ≅ ∠ N concurrent by SAS congruence.

What is triangle?

Three interconnected vertices make up one of the basic geometric shapes denoted by the symbol Δ.

Given:

LM ≅ ON

∠ M ≅ ∠ N

As you can see, the side LO is common in both the triangle,

So In the concurrency SAS, the two sides of a triangle are two to be equal, and an angle is to be equal.

Therefore, the triangle LMO and LNO are, if LM ≅ ON, ∠ M ≅ ∠ N concurrent by SAS congruence.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ1

Is this right please help

Answers

The complete solution will be;

Jeremy cannot find the cost by adding the percent's.

The 25% off of $60 is $45,

The 25% off of $60 and then subtracting 10% from the cost is $39.

The two total cost are not equal.  

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Jeremy bought a $60 pair of sneakers on sale for 15%.

And, Then he used a coupon for additional 10% off.

Now,

Let the cost of the sneakers = x

So, We can formulate;

⇒ x - 15% of x - 10% of x = 60

Solve for x as;

⇒ x - 15x/100 - 10x/100 = 60

⇒ x - 25x/100 = 60

⇒ x - x/4 = 60

⇒ 3x = 60 × 4

⇒ x = 80

Thus, The cost of the sneakers = $80

Now,

The 25% off of $60 is,

⇒ 60 - 25% of 60

⇒ 60 - 25 × 60 / 100

⇒ 60 - 15

⇒ $45

And, The 25% off of $60 and then subtracting 10% from the cost.

⇒ 60 - 25% of 60 - 10% of 60

⇒ 60 - 15 - 6

⇒ 45 - 6

⇒ $39

By adding both percent we get;

⇒ $45 + $39

⇒ $84

Thus, The complete solution will be;

''Jeremy cannot find the cost by adding the percent's.

The 25% off of $60 is $45,

The 25% off of $60 and then subtracting 10% from the cost is $39.

The two total cost are not equal.''

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

At wrestling competitions, the wrestling mat is placed on a square that has an area of 1,444 square feet.
What is the length of one side of the square?

Answers

Area of square = s^2 = 1444 square feet
Side of square = root of s^2, root of 1444 = 38 feet

Check all of the correct names for the object pictured below.

Answers

Answer:

B

F

Step-by-step explanation:

this is vector, and its to be moving from point to a point through line , and you have a direction of it's move , so it will be from T to S ( magnitude) and the arrow is the direction <--

The graph represents the piecewise function

Answers

The graph represents the piecewise function is [tex]y=\frac{5 x}{4}+\frac{15}{4}[/tex].

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given,

Graph representing a piecewise function:

A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.

So,

Using the formula:

[tex]y=\frac{5 x}{4}+\frac{15}{4}[/tex]

To learn more about piecewise function visit:https://brainly.com/question/12561612

#SPJ1

someone answer this correctly please, I’ll give you brainliest and your getting 50 points someone answer this no fraud answers don’t be weird.

Answers

The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

To know more about congruent triangles, click on the link

https://brainly.com/question/29789999

#SPJ1

Other Questions
identify the statement that is true about ocean water. group of answer choices it has an average salinity of 1.0%. it contains negative ions (anions) like chloride and sulfate derived from volcanic gases. cold ocean water can hold more salt than warmer water can. its salinity and temperature are mostly the same in surface waters; deeper water tends to be more heterogeneous. flag question: question 7 The scale factor of two triangles is 2:5. If the smaller triangle has side length of 30, what would be the length of the corresponding side on the bigger triangle? if a hot and cold object come into contact, heat is why are chemists interested in studying thermochemistry? until: It is known that the probability p of tossing heads on an unbalanced coin is either 1/4 or 3/4. The coin is tossed twice and a value for Y , the number of heads, is observed. For each possible value of Y , which of the two values for p (1/4 or 3/4) maximizes the probability that Y = y? Depending on the value of y actually observed, what is the MLE of p? What is the inverse of this function f(x)=-1/2sqrtx+3, x>_-3 The ending raw materials and finished goods inventories at December 31,2021 , follow the same percentage relationships to production and sales that occur 2022. Three pounds of raw materials are required to make each unit of finished goods. Raw materials purchased are expected to cost$4per pound. Prepare a production budget by quarters for the 6-month period ended June 30,2022 . An athlete wants to increase his endurance and focus. Which cross-training activities will help him reach this goal?a. long-distance running and yoga posesb. balance drills and divingc. push-ups and timed sprintsd. sit-ups and visualizing Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5xcan be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. a concentration cell is set up using two zinc wires and two solution, one containing 0.350 m zncl2 solution and the other containing 1.40 m zn(no3)2 solution. compute the potential of this cell. 1- methoxy 1- propene FILL IN THE BLANK. alex is a competitive athlete who weighs 90 kg. he would like to plan a nutritionally adequate diet that provides enough carbohydrate to maintain his weight and glycogen stores during training and competition. according to expert recommendations, he should consume ___ grams of carbohydrate daily. Is Singapore closed during Christmas? What do the French eat at Christmas? ) the cori cycle involves the conversion of ? a) glucose to pyruvate b) fructose in red blood cells c) glucose in the liver d) all of the above when a loop repeats until a variable has a specific value, that value is referred to as the value. what aspect of 1950s doo-wop made it a stylistic novelty in addition to being an accessible ensemble style for a wide variety of performers? the difference between the face value of a bond and its selling price when a bond is issued for less than the face value An engineer makes different-size samples of a new material. The table shows volumes and the related masses. What would be the mass of 100 cubic centimeters of the material? Of 500 cubic centimeters of the material? Use pencil and paper. Explain how you can use mental math to find the answer.The mass of 100 cubic centimeters of the material would be [answer] enter your response here grams. a solid ball of inertia m rolls without slipping down a ramp that makes an angle with the horizontal. What frictional force is exerted on the ball? As a function of theta, what coefficient of friction is required to prevent slipping? calculate the estimated weight of a round brilliant with the following dimensions: average diameter: 7.25 mm depth: 5.45 mm girdle thickness: very thick a. 1.83 cts b. 1.85 cts c. 1.88 cts d. 2.05 cts