The triangles are congruent by SSS or HL.

Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.

Which transformation(s) can map TrianglePQR onto TriangleSTU?
translation only
rotation only
rotation, then reflection
reflection, then translation

Answers

Answer 1

From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.

What is a congruent triangle?

Congruent triangles are known as triangles that have the same size, shape and angles.

It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.

There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D

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Answer 2

Answer:

reflection, then translation

Step-by-step explanation:

The answer above is correct.

Related Questions

Please help me solve this.

Answers

Answer:

isn't that the midpoint formula??

use the distrubutive property to simply (2-5m)(-5)

Answers

Answer:

-10+25m

Step-by-step explanation:

We can write the equation as (-5)(2-5m)

Distribute: -5*2 = -10, -5m*-5 = 25m

Put the answers together: -10+25m

What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.
0.1
0.3
1.1
2.6

Answers

Answer:

the answer is 1.1

Step-by-step explanation:

log13 =1.113

which is approximately 1.1

The value of given logarithmic expression is 1.1. Therefore, option C is the correct answer.

What are logarithms?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

The given logarithmic expression is log13.

The result can be shown in multiple forms.

Exact Form:

log(13)

Decimal Form:

1.11394335....

≈ 1.1

Therefore, option C is the correct answer.

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-8y=7y-5 direct variation or not

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation: }[/tex]

[tex]\mathbf{-8y = 7y - 5}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{-8y = 7y - 5}[/tex]

[tex]\mathbf{7y - 5 = -8y}[/tex]

[tex]\huge\textbf{SUBTRACT 7y to BOTH SIDES}[/tex]

[tex]\mathbf{-8y - 7y = 7y - 5 - 7y}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{-15y = -5}[/tex]

[tex]\huge\textbf{DIVIDE -15 to BOTH SIDES}[/tex]

[tex]\mathbf{\dfrac{-15y}{-15} = \dfrac{-5}{-15}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{y = \dfrac{-5}{-15}}[/tex]

[tex]\mathbf{y = \dfrac{-5\div-5}{-15\div-5}}[/tex]

[tex]\mathbf{y = \dfrac{1}{3}}[/tex]

[tex]\huge\textbf{Met your answer:}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{y = \dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which represents the solution(s) of the graphed system of equations, y=x²+x-2 and y = 2x - 2?

Answers

Answer:

Option 2: (0,-2) and (1,0)

Step-by-step explanation:

Solutions to graphed systems of equations are the places where the graphs overlap/intersect.

For this system of equations, the red and blue graphs overlap at two points.

Since all of the answers are given as ordered pairs, it is important to know what an ordered pair means.

Ordered pairs

An ordered pair, (x,y), is a pair of numbers, written in parentheses, with a comma between them, that represent the coordinates of a point when graphed on a coordinate system. Each coordinate measures the distance in a certain direction from the origin. The origin is the special point at the intersection of the axes. The axes are the dark horizontal and vertical lines with numbers next to them, representing the value at that distance along the axis.

The first coordinate of an ordered pair is the x-coordinate, and measures the horizontal distance from the origin. Points to the right of the origin are defined to have a positive x-coordinate, and points to the left of the origin are defined to have a negative x-coordinate.

The second coordinate of an ordered pair is the y-coordinate, and measures the vertical distance from the origin. Points above the origin are defined to have a positive y-coordinate, and below the origin are defined to have a negative x-coordinate.

The intersections

Looking directly below the origin, the blue curve and the red line intersect. Since they intersect directly below the origin, the ordered pair there must have an x-coordinate of zero because no left/right movement was required to get to this point. Only a vertical movement was necessary. The number on the vertical axis tells us that this point has a height of "-2", so the ordered pair for this point is (0,-2).

Looking directly to the right from the origin, the blue curve and the red line intersect again. Since they intersect directly to the right of the origin, the ordered pair there must have a y-coordinate of zero because no up/down movement was required to get to this point. Only a horizontal movement was necessary. The number on the horizontal axis tells us that this point has a horizontal value of "1", so the ordered pair for this point is (1,0).

Since the two points of intersection are (0,-2) and (1,0), the correct answer would be the second choice.

Which of the following is a binomial with degree 2? A: 2x^3 + xy 3x + 3x^2 2xy^2 2 + 5x - 3x^3

Answers

The binomial with degree 2 is 3x + 3x²

what is Binomial?

A mathematical expression consisting of two terms connected by a plus sign or minus sign.

As, the binomial with degree 2 means the polynomial whose highest power of the coefficient is 2.

Also, binomial is polynomial having two terms.

Hence, the binomial with degree 2 is 3x + 3x².

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Which set of ordered pairs could be generated by an exponential function?

A: (1,1) , (2 1/2) , (3 1/3) (4 1/4)

B: (1,1) , (2 1/4) , ( 3 1/9) , ( 4 1/16)

C: (1 1/2) , (2 1/4) , (3 1/8) ( 4 1/16)

D: (1 1/2) , (2 1/4) , (3 1/6) , (4 1/8)

Answers

The set that can represent an exponential function is the one in option c.

Which set of ordered pairs could be generated by an exponential function?

An exponential function is of the form:

[tex]f(x) = A*(b)^x[/tex]

So, as x increases by one unit, we multiply the previous number by b.

From the given options, the only one that can represent an exponential function is the third one:

(1, 1/2) , (2, 1/4) , (3, 1/8) ( 4, 1/16)

As you can see, as x increases, the value of y keeps being divided by 2.

This exponential function is:

[tex]f(x) = 1*(1/2)^x = (1/2)^x[/tex]

Evaluating it, we get:

[tex]f(1) = (1/2)^1 = 1/2\\\\f(2) = (1/2)^2 = 1/4\\\\f(3) = (1/2)^3 = 1/8\\\\etc...[/tex]

Then we conclude that the correct option is the third one.

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The coordinates of the vertices of a rectangle are (−5, 2), (−5, −2 1/3 ), (2 1/2 , 2), and (2 1/2 , −2 1/3 ). Find the perimeter of the rectangle.

Answers

By using the perimeter formula for an orthogonally oriented rectangle set on a Cartesian plane, we find that the perimeter of the figure is 68/3 units.

How to determine the perimeter of orthogonally oriented rectangle

In this question we have a rectangle oriented with respect to the two orthogonal axes of a Cartesian plane. In this case, the vertices of the figure are of the form:

A(x, y) = (a, b), B(x, y) = (c, b), C(x, y) = (a, d), D(x, y) = (c, d)

And the perimeter of this rectangle is equal to this:

p = 2 · |a - c| + 2 · |b - d|

If we know that a = - 5, b = 2, c = 2, d = - 7/3, then the perimeter of the rectangle is:

p = 2 · |- 5 - 2| + 2 · |2 - (- 7/3)|

p = 14 + 26/3

p = 68/3

By using the perimeter formula for an orthogonally oriented rectangle set on a Cartesian plane, we find that the perimeter of the figure is 68/3 units.

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List the first four terms of the sequence.

Answers

The first four terms of the sequence are -1, 6, -22, 90

What is a sequence?

A sequence is an order in which numbers occur in a given group of numbers.

It is also numbers arranged based on a certain rule.

Analysis:

a1 = -1

for n ≥ 2

a2 = -4a1 +2

a2 = -4(-1) + 2 = 4+2 = 6

a3 = -4a2 + 2

a3 = -4(6) + 2 = -24 + 2 = -22

a4 = -4a3 +2

a4 = -4(-22) + 2 = 88 + 2 = 90

In conclusion, the first four terms of the sequence are -1, 6, -22, 90

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compute 1 + 2 + 3 +....+ 1,997 + 1,998 + 1,999

Answers

Answer:

1 999 000

Step-by-step explanation:

Formula:

[tex]1+2+3+.\ .\ .+n=\frac{n\times \left( n+1\right) }{2}[/tex]

………………………………………

Then

[tex]1+2+3+....+1997+1998+1999=\frac{1999\times \left( 1999+1\right) }{2}[/tex]

[tex]1+2+3+....+1997+1998+1999=\frac{1999\times \left( 2000\right) }{2}[/tex]

[tex]1+2+3+....+1997+1998+1999=\frac{3998000 }{2}[/tex]

[tex]1+2+3+....+1997+1998+1999=1999000[/tex]

Which graph represents the function f(x) = |-x - 2|-1?
-6-

Answers

Answer:

it is the third one

Step-by-step explanation:

third one

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)

Function 1

graph of function f of x equals negative x squared plus 8 multiplied by x minus 15

Function 2

f(x) = −x2 + 2x − 3

Function 1 has the larger maximum at (1, 4).

Function 1 has the larger maximum at (4, 1).

Function 2 has the larger maximum at (1, −2).

Function 2 has the larger maximum at (−2, 1).

Answers

Finding the vertex of the quadratic functions, the correct statement is:

Function 1 has the larger maximum at (4, 1).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

For function 1, we have that:

f(x) = -x² + 8x - 15.

Hence the coefficients are a = -1, b = 8, c = -15, and the vertex is:

[tex]x_v = -\frac{8}{2(-1)} = 4[/tex][tex]y_v = -\frac{8^2 - 4(-1)(-15)}{4(-1)} = 1[/tex]

For function 2, we have that:

f(x) = -x² + 2x - 3.

Hence the coefficients are a = -1, b = 2, c = -3, and the vertex is:

[tex]x_v = -\frac{2}{2(-1)} = 1[/tex][tex]y_v = -\frac{2^2 - 4(-1)(-3)}{4(-1)} = -2[/tex]

1 > -2, hence the correct statement is:

Function 1 has the larger maximum at (4, 1).

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how do you solve 32 - 6x = 53?

Answers

Answer:

x = - 3.5

Step-by-step explanation:

32 - 6x = 53 ( subtract 32 from both sides )

- 6x = 21 ( divide both sides by - 6 )

x = [tex]\frac{21}{-6}[/tex] = - [tex]\frac{7}{2}[/tex] = - 3.5

[tex]\large\boxed{x=-\frac{7}{2}}[/tex]

To solve for [tex]x[/tex], we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

[tex]\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}[/tex]

Divide both sides of the equation by [tex]-6[/tex].

[tex]\begin{aligned}\frac{-6x}{-6}&=\frac{21}{-6}\\x&=\boxed{-\frac{7}{2}}\end{aligned}[/tex]

Rename 1/10 and 1/4
using the least common denominator.

Answers

The renaming of the fractions 1/10 and 1/4 using the least common denominator gives us; 2/20 and 5/20

How to find the Least Common Denominator?

To find the least common denominator here, we will just the least term that can divide both denominators. In this case, the least term will be 20. Thus;

1/10 = (1 * 2)/(2 * 10) = 2/20

1/4 = (1 * 5)/(4 * 5) = 5/20

Therefore renaming the fractions 1/10 and 1/4 using the least common denominator gives us; 2/20 and 5/20

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hope this helps, Plato

Can someone please help me on this question

Answers

Answer: ? = 72

Step-by-step explanation:

We will set up a proportion to solve.

[tex]\displaystyle \frac{?}{56} =\frac{45}{35}[/tex]

Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the mean of this distribution

Answers

The mean of the distribution that follows the uniform probability distribution is 29.5 minutes.

What is the mean?

The mean is the average or the most common value in a data set of numbers.

Since the distribution follows the uniform probability distribution, which is a type of probability distribution that gives all outcomes equal chances, it implies that the set of 18 values between 21 and 38 can result in a total value of 531 minutes.

Data and Calculations:

The total value between 21 and 38 minutes = 531 minutes

The total number of values = 18

The average or mean = 29.5 (531/18)

Thus, the mean of the distribution that follows the uniform probability distribution is 29.5 minutes.

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Which of the following terminating decimals is equivalent to StartFraction 3 over 8 EndFraction

Answers

The 0.375 terminating decimals are equivalent to 3/8 option second is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The fraction is:

= 3/8

After dividing with 8

= 0.375

Thus, the 0.375 terminating decimals are equivalent to 3/8 option second is correct.

The complete question is:

Which of the following terminating decimals is equivalent to 3/8?

0.250 0.375 0.380 0.830

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Is xxx greater than, less than, or equal to 50^\circ50
∘
50, degrees?

Answers

The value of the angle c will be 50°. Option C is correct.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

If the two line segment intersects at each other the angle formed by the intersecting lines will be the same.

From the given digrame,∠x =50°

Hence option C is correct.

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n what way is Model A better than Model B?

Answers

Model A shows the 3-D shape of the molecule, but model B does not. Then the correct option is C.

What is the representation of the compound?

The compound can be represented in the form of 3-D shape and as well as chemical formula.

The particles are bound together, this becomes simpler to comprehend the precise structure or architecture of the compound when model A depicts the molecule in three dimensions.

Model A shows the 3-D shape of the molecule, but model B does not.

Then the correct option is C.

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1. A motorist takes 30 mins to complete a journey when he travels at 60km/h. How long will it'
take to cover the same distance at 50 km/h?

Answers

Answer:

36 minutes

Step-by-step explanation:

Distance , speed and time:

Speed = 60 km/hr

time = 30 mins = 30/60 = 1/2 hour

[tex]\sf \boxed{\bf Distance =speed * time}[/tex]

[tex]\sf = 60 * \dfrac{1}{2}\\\\ = 30 \ Km[/tex]

Distance = 30 km and speed = 50 km/hr

[tex]\sf \boxed{\bf Time =\dfrac{Distance}{speed}}[/tex]

[tex]\sf = \dfrac{30}{50}\\\\=\dfrac{3}{5} \ hour\\\\=\dfrac{3}{5}*60\\\\= 3*12\\\\= 36 \ minutes[/tex]

Answer:

0.6 hours

Step-by-step explanation:

• First calculate the distance travelled at 60km/h:

distance = speed x time

= 60 x 0.5

= 30 km

• Now calculate the time taken at 50 km/h:

time = distance/ speed

= 30 / 50

= 0.6 hours

= 0.6 x 60 min

= 36 minutes

In the adjoining figure, ABCD is a trapezium.
If AB = 60cm , AD = 26cm and BC = 25 cm, find the area of given trapezium

Answers

The area of the given trapezium is 1781 cm².

What is the area of the trapezium?

Area of the trapezium = ½(a + b) × h

Given;

AB = 60cm , AD = 26cm and DC = 77 cm

Area = ½(60 + 77) × 26

Area = ½(137)× 26

Area = 1781 cm²

Hence, the area of the given trapezium is 1781 cm².

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Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 4th side on quadrilateral ABCD?
A. 6 feet
B. 12 feet
C. 10 feet
D. 8 feet

Answers

The length of the 4th side on quadrilateral ABCD will be D. 8cm.

How to calculate the length?

From the information given, we are told that the lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long.

In this case, the side will be:

24/16 = 12/x

x = (16 × 12)/24

x = 8

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Meridian Community College has a total of 3,500 students. One hundred of these students are surveyed about the programs offered at the college. The 100 students surveyed in this example would be the

Answers

Using sampling concepts, it is found that the 100 students surveyed in this example would be the would be the sample.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

Hence, in this problem:

The 3,500 students represent the population.The 100 students represent the sample.

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Let $M$ be the least common multiple of $1, 2, \ldots, 20$. How many positive divisors does $M$ have

Answers

Consider the prime factorization of 20!.

[tex]20! = 20 \times 19 \times 18 \times \cdots \times 3 \times 2 \times 1[/tex]

The LCM of 1, 2, ..., 20 must contain all the primes less than 20 in its factorization, so

[tex]M = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 \times m[/tex]

where [tex]m[/tex] is some integer not divisible by any of these primes.

Compare the factorizations of the remaining divisors of 20!, and check off any whose factorizations are already contained in the product of primes above.

[tex]4 = 2^2[/tex] - missing a factor of 2

[tex]6 = 2\times3[/tex] - ✓

[tex]8 = 2^3[/tex] - missing a factor of 2²

[tex]9 = 3^2[/tex] - missing a factor of 3

[tex]10 = 2\times5[/tex] - ✓

[tex]12 = 2^2\times3[/tex] - missing a factor of 2

[tex]14 = 2\times7[/tex] - ✓

[tex]15 = 3\times5[/tex] - ✓

[tex]16 = 2^4[/tex] - missing a factor of 2³

[tex]18 = 2\times3^2[/tex] - missing a factor of 3

[tex]20 = 2^2\times5[/tex] - missing a factor of 2

From the divisors marked "missing", we add the necessary missing factors to the factorization of [tex]M[/tex], so that

[tex]M = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 \times 2^3 \times 3[/tex]

Then the LCM of 1, 2, 3, …, 20 is

[tex]M = 2^4 \times 3^2 \times 5 \times7 \times 11 \times 13 \times17 \times 19[/tex]

[tex]\implies \boxed{M = 232,792,560}[/tex]

select the correct answer. If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x) ÷ g(x)

A, 2x + 3/x - 2
B. 2x - 3/x+ 2
C. 2x +3/x+2
D. 2x- 3/x-2

Answers

Answer:

[tex]f(x) = {2x}^{2} - 4x - 6 \\ {2x}^{2} - 4x + 3x - 6 \\ = 2x(x - 2) + 3(x - 2) \\ g(x) = {x}^{2} - 4 \\ (x + 2)(x - 2) \\ \frac{f(x)}{g(x)} = \frac{(2x + 3)(x - 2)}{(x + 2)(x - 2)} = \frac{2x + 3}{x + 2} [/tex]

[tex]\underline{\underline{\boxed{ \pink\star \: C.) \: \sf{\frac{2x +3}{x + 2}}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Here,

[tex]\sf{f(x) = 2x^2 - x - 6}[/tex]