Name two sets of alternate interior angles.

Answer:

Step-by-step explanation:

5,6

Answer:

The lie is #2

Step-by-step explanation:

Just like how dividing powers with the same bases is like subtracting exponents, multiplying them is like adding exponents.

If you substitute 4 as x in #1, you get [tex]13^2*13^4=13^6[/tex]. This is the same as saying [tex]13^2^+^4=13^6[/tex], which is true.

If you substitute 4 as x, 6 as y, and 8 as z in #2, you get [tex]m^6*m^8=m^4[/tex]. This is the same as saying [tex]m^6^+^8=m^4[/tex], which is not true.

If you substitute 6 as y in #3, you get [tex]5^6*5^6=5^1^2[/tex]. This is the same as saying [tex]5^6^+^6=5^1^2[/tex], which is true.

In the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.

An isosceles trapezoid, or isosceles trapezium in British English, is a convex quadrilateral in Euclidean geometry that has a line of symmetry cutting through one pair of opposite sides.

It is an uncommon instance of a trapezoid.

Alternately, it can be described as a trapezoid with equal amounts of both the base angles and the legs.

Note that the second requirement, or the fact that it lacks a line of symmetry, prevents a non-rectangular parallelogram from being an isosceles trapezoid.

Two opposite sides (the bases) of each isosceles trapezoid are parallel, while the remaining two sides (the legs) are each the same length (properties shared with the parallelogram).

So, solve for x and y:

For x:

4x - 27 = x + 9

3x = 36

x = 36/3

x = 12

For y:

3y + 19 = 11y - 21

8y = 19 + 21

8y = 40

y = 40/8

y = 5

Therefore, in the given Isosceles trapezoid, the value of x and y is 12 and 5 respectively.

Know more about Isosceles trapezoid here:

https://brainly.com/question/10644521

#SPJ1

The first step to start the is dividing both sides by 3, so the correct option is the second one.

The linear equation in slope-intercept form is:

y = (1/2)*x + 1

To do that, we need o isolate the variable y in one of the sides of the linear equation:

3*(x + 2) = 6y

We can divide both sides by 3 to get:

x + 2 = (6/3)*y

x + 2 = 2y

Now, we can divide both sides by 2, so we will get:

(x + 2)/2 = y

y = (x + 2)/2

y = (1/2)*x + 1

The equation in the slope-intercept form is:

y = (1/2)*x + 1

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

There are 7776 different outcomes possible when 5 dice of different colors are rolled.

The ratio of favorable outcomes to the total number of outcomes of an event is said to be the probability of that event.

P(E) = n(E)/n(S)

It is given that, there are 5 dice with different colors.

There are 6 outcomes for each die rolling. That is the number coming up on each die when it is rolled (1, 2, 3, 4, 5, 6).

So, for five dice when rolled, the number of possible outcomes is

n = 6 × 6 × 6 × 6 × 6

⇒ n = 7776

Therefore, 7776 different outcomes are possible.

Learn more about the probability of rolling a die here:

https://brainly.com/question/21459155

#SPJ4

do your work buddy and dont cheat

Step-by-step explanation:

dont cheat and actually study

The estimate of the quotient expression using compatible numbers is 100

From the question, we have the following parameters that can be used in our computation:

7 | 497

This quotient expression from the question can be expressed as

497 ÷ 7

From the question, we are to make use of compatible numbers

This means that we have the following approximation

497 = 500

7 = 5

Next, we estimate the quotient using approximated values

So, we have

497 ÷ 7 = 500 ÷ 5

Evaluate the quotient

497 ÷ 7 = 100

Hence, the estimate is 100

Read more about compatible numbers at

brainly.com/question/16037112

#SPJ1

The amount of time Jim spent on the bicycle is 6.5 hours.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

Total distance, d = 255 miles,

Total time, t = 7 hours,

The speed of walking, s = 3 miles / hour,

The speed of riding bicycle, S = 39 miles/hour,

Calculate the time spent on the bicycle as shown below,

Total time = Time on bicycle + Time walking

7 = Distance on bicycle/speed + Distance of walking / speed

7 = b / 39 + w / 3

Here w is the distance by walking and b is the distance covered by bicycle,

b + w = 255 (As given)

Solve both equations,

w = 1.5 miles and b = 255 - 1.5 = 253.5 miles

Calculate the time spent on a bicycle as shown below,

The time spent on the bicycle = b / 39

The time spent on the bicycle = 253.5 / 39 = 6.5 hours

To know more about distance:

https://brainly.com/question/15256256

#SPJ1

In  a right angled triangle, the opposite and adjacent sides are the sides proportional to the two acute angles of the triangle.

In every triangle, the sum of angles is 180⁰.  In a right angled triangle, one of the angles is = 90⁰.

The side facing the right angle is called the hypothenuse side.

The sum of the other two angles is 90⁰. That each of the angles is acute angle.

The sides proportional to the acute angles are the opposite and adjacent.  

If an angle is given in one of the angle, the side proportional to the given angle is called the opposite while the other one is called the adjacent.

if the angle is changed to the other angle, the side proportional to the given angle becomes the opposite while the other is the adjacent.

Learn more about opposite and adjacent sides on https://brainly.com/question/29407794

#SPJ1

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

To learn more about the relative frequency visit:

brainly.com/question/17101132.

#SPJ1

The probability that it will rain tomorrow is 0.2. the odds that it will rain tomorrow are 2 to .  The odds that it will not rain tomorrow are to 0.8.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability that it will rain tomorrow is 0.2

i.e.

P(it will rain tomorrow )=0.2

Now probability that it won't rain tomorrow is,

P(it won't rain tomorrow )=1- P(it will rain tomorrow)=1-0.2=0.8

Thus

P(it won't rain tomorrow)=0.8.

To learn more about probability visit:https://brainly.in/question/41470926

#SPJ4

The required transformation of the given figure is given as 4 units right and 2 units down.

Given that,
To determine the trasformation of the given figure.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
As shown in the figure,
The figure is translated as of the former figure to 4 units in the positive x direction and 2 units towards the negative y direction.

Thus, the required transformation of the given figure is given as 4 units right and 2 units down.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ1

Therefore , We have proved AE ≅ CF in the given quadrilateral .

Two figures or objects are said to be congruent in geometry if they are the same size and shape, or if one is the mirror image of the other.

Here,

Statement                                                  

1)AB≅CD , AB║CD ,BF⊥AC and                    

DE⊥AC

2)ABCD  is a parallelogram                  

3)  AD≅BE , AD║BE

4)ΔDAE≅ ΔBCF

5)ΔDAE≅ ΔBCF are right  Δ's

6)  ΔDEA≅ ΔBFC

7)  ΔADE≅ ΔCBF

8)AE ≅ CF

Reasoning

1)Given

2)if a quadrilateral has 1 pair of opposite side both side ≅, ║, then it is a parallelogram

3)In a  parallelogram opposite side are ≅, ║          

4)Alternate interior angles   Δ's are congruent.

5)⊥ segments forms right Δ's.

6)right Δ's. are  ≅.

7)AAS congruency theorem

8)Cpetc

Therefore , We have proved AE ≅ CF in the given quadrilateral .

To know more about congruence , visit

https://brainly.com/question/7888063

#SPJ1

Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?

to combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount
[tex]\$ 3,620 \times 6.5 \% \times \frac{1}{4}=\$ 58.83[/tex]

The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

To learn more about compounded visit

https://brainly.com/question/13516179

#SPJ1

Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded is $58.83

What is compounded?
To combine into a single unit; combine: to mix medications to create a new medication. to create something by putting pieces, things, etc. together; construct: to combine elements of various previous plans to create a new one.The interest on a loan or deposit calculated based on the initial principal, and the collective interest from previous periods is called compound interest. It is basically 'interest earned on money that was previously earned as interest'.

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.
Here, principal compounded quarterly
Thus, Amount
$3,620x6.5%x1/4=$58.83
The first period interest is product of the principal, the annual interest rate and the interest period (expressed in years).

To learn more about compounded visit
https://brainly.com/question/28158846
#SPJ1

Answer:

ANS:- No solution

Step-by-step explanation:

-7x + 7 + 12x = 5x + 7

5x + 7 = 5x + 7

0 = 0

Answer:

113

Step-by-step explanation:

30° + 37° + angle c = 180° (Sum of all angles of a triangle is 180°)

or, 67° + angle c = 180°

or, angle c = 180° - 67°

or, angle c = 113°

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

The quadrilaterals are LMNP and LKJQ shown.

In quadrilaterals LMNP and LKJQ,

LK = LM = LQ = LP         (Given)

JK = JQ = NM = NP        (Given)

∠KJQ = ∠MNP          (Given)

∠KLQ = ∠MLP           (Given)

∠JKL = ∠NML            (Given)

∠JQL = ∠NPL            (Given)

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ1

The slope intercept form of the given situation is y=3x+10.

y = mx + b is the slope-intercept form, where m is the slope and b is the y-intercept.

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Let x= $3 per game

and we have to add $10 for rental shoes. So slope form will ne

y= 3x+10.

To learn more about slope form visit the link:

https://brainly.com/question/3605446

#SPJ1

A function is a relation where each conceivable input value results in exactly one potential output value. The phrase "the output is a function of the input" frequently used.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

   3 ,-3 is an input value of the function

   0 is an output value of the function in this graph

To learn more about function refer to:

https://brainly.com/question/11624077

#SPJ1

Answer:

He picked a total of 52

Step-by-step explanation:

You would add 16 (red apples), then divide 1/2 from the 16 red apples, +28 green apples which would equal 52.

The number -17/20 belongs to the set of real numbers.

What is the set of real numbers?

The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. Real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

All real numbers, including fractions and decimals, are part of the set of real numbers.

The set of real numbers includes all numbers that can be expressed on the number line, including positive and negative numbers, as well as all fractions and decimals.

This set is often denoted by the symbol "ℝ".

Hence, The number -17/20 belongs to the set of real numbers.

To learn more about the set of real numbers visit,

https://brainly.com/question/155227

#SPJ1

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

The value of x is 25.

The value of y is 78.

The value of z is 24.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure given we see that,

88 and y + 10 are corresponding angles.

88 = y + 10

y = 88 - 10

y = 78

Now,

3x - 7 and 2x + 18 are oposite angles.

3x - 7 = 2x + 18

3x - 2x = 18 + 7

x = 25

Now,

(y + 10) + (3x - 7) + z = 180

78 + 10 + 3 x 25 - 7 + z = 180

88 + 75 - 7 + z = 180

z = 180 - 156

z = 24

Thus,

The value of x is 25.

The value of y is 78.

The value of z is 24.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ1

However, a correlation between two variables does not always imply that a change in one variable is the reason for a change in the values of the other. There is a causal link between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event.

Causal relationships between variables may consist of direct and indirect effects. Direct causal effects are effects that go directly from one variable to another. Indirect effects occur when the relationship between two variables is mediated by one or more variables.

Direct and indirect effects may make up causal connections between variables. Effects that flow directly from one variable to another are referred to as direct causal effects. When one or more factors mediate the link between two variables, indirect effects result.

What are examples of causal relationships?

Causal relationships: A causal generalization, e.g., that smoking causes lung cancer, is not about an particular smoker but states a special relationship exists between the property of smoking and the property of getting lung cancer.

To learn more about  variables visit:

https://brainly.com/question/2466865

#SPJ1

Answer:

B. 50

Step-by-step explanation:

Let x be the number of coupons sent to existing members.

The number of coupons sent to potential members is 4 times the number of coupons sent to existing members, or 4x.

The total number of coupons sent is the sum of the number of coupons sent to existing members and the number of coupons sent to potential members, or x + 4x = 5x.

The club sent out 250 coupons, so 5x = 250.

Dividing both sides of the equation by 5, you get x = 250 / 5 = 50.

Therefore, the club sent 50 coupons to existing members.

Answer:

Step-by-step explanation:

You want the solutions to three equations, and the error in the work shown.

The correct solution is ...

  [tex]-6n+22=-4n+14\\\\22=2n+14\qquad\text{add $6n$}\\\\8=2n\qquad\text{subtract 14}\\\\\boxed{4=n}[/tex]

Cullen's error was adding 4n to one side, and subtracting 4n from the other side of the equation. (The same operation must be done to both sides.)

The correct solution is ...

  [tex]8.4y -6.8 = -3.2y +16.4\\\\11.6y-6.8=16.4\qquad\text{add $3.2y$}\\\\11.6y=23.2\qquad\text{add 6.8}\\\\\boxed{y=2}[/tex]

Seraphina's error was dividing one side of the equation by 11.6 and subtracting 11.6 from the other side. (The same operation must be done to both sides.)

The correct solution is ...

  [tex]\dfrac{7}{8}b -32 = \dfrac{3}{4}b +32\\\\\dfrac{1}{8}b-32=32\qquad\text{subtract $\dfrac{3}{4}b$}\\\\\dfrac{1}{8}b=64\qquad\text{add 32}\\\\\boxed{b=512}\qquad\text{multiply by 8}[/tex]

Jasper's error was multiplying one side of the equation by 8 and dividing the other side by 8.  (The same operation must be done to both sides.)

Answer:

Let the odd numbers be 2n + 1 and 2n + 3 where n is any positive integer. Therefore, the numbers are 19 and 21.

Answer: x= -8

Step-by-step explanation:

A vertical asymptote is a line cut in the middle of both graphs!

It can't be x= 0 or y= 0  because it is not the middle of both graphs!

It can't be y= -8 because it is not cut in the middle.

So x=-8 is the right answer!

Step-by-step explanation:

Here, not sure if it got the answer you were looking.

The x = 5-y line passes through (0,5) and (5,0).

The y = 2x -4 line passes through (0,4) and (2,0).

What is a linear equation?

The graphs of all first-degree equations in two variables will be straight lines. This fact will be used here even though it will be much later in mathematics before you can prove this statement. Such first-degree equations are called linear equations.

Here, we have

Given inequalities

x - y < 5

y ≥ 2x - 4

We have to describe the graph of the system of inequalities.

For, x < 5+y

x = 5-y

We put y = 0, we get

x = 5

We put x =0, and we get

y = 5

Hence, the x = 5-y line passes through (0,5) and (5,0).

For, y ≥ 2x - 4

y = 2x -4

We put x = 0, and we get

y = 4

We put y = 0, we get

x = 2

Hence, the y = 2x -4 line passes through (0,4) and (2,0).

To learn more about the linear equation from the given link

https://brainly.com/question/14323743

#SPJ1