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3 years ago

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Line segment AB is translated 5 units right and 2 units down followed by a rotation of 180o about the origin. The resulting imag

e is line segment YZ. Which statement about line segments AB and YZ is true?
a. They are similar but not congruent.

b. They are congruent but not similar.

c. They are neither congruent nor similar.

d. They are congruent and similar.

I WILL GIVE U BRAINLIEST

2 answers:

serg [7]3 years ago

5 0

The answer to you’re question is C.

sergeinik [125]3 years ago

3 0

The correct answer is c

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Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.

Dominik [7]

Answer:

$Y = (4,9)$

Step-by-step explanation:

Given

$W(x_1,y_1) = (-5, 2)$

$Z(x_4,y_4) = (-7, -3)$

$X(x_2,y_2) = (2, 4)$

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

$M = \frac{1}{2}(x_n+x_m,y_n+y_m})$

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

$M = \frac{1}{2}(-5+2,2+4)$

$M = \frac{1}{2}(-3,6)$

The mid-point of ZY is:

$M = \frac{1}{2}(-7+x,-3+y)$

Equate both values of M

$\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)$

Multiply both sides by 2

$(-3,6) = (-7+x,-3+y)$

By comparison:

$-7 + x = -3$

$-3 + y = 6$

$-7 + x = -3$

$x = 7 -3$

$x = 4$

$-3 + y = 6$

$y = 6 +3$

$y = 9$

Hence:

$Y = (4,9)$

3 0

3 years ago

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Greeley [361]

$\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$}$

Multiply both sides of the equation by 3.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}$

Combine 2x and −6x to get −4x.

$\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}$

Add 20 to both sides. Any value plus zero results in its same value.

$\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4} \end{gathered}$}$

Divide 20 by −4 to get −5.

$\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

5 0

2 years ago

Read 2 more answers

Complete the fraction that is equivalent to . = ¯¯¯¯¯ 24

wariber [46]

Answer:

24 is equivalent to 24/1

Step-by-step explanation: Hope this helped you feel free to ask questions in comments.

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3 years ago

If the radius is 18 cm and the angle at centre of circle is 120° then the

PolarNik [594]

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

$\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }$

Given that;

Radius r = 18 cm
Angle θ = 120°

Then. the area of the sector can be calculated as:

$\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }$

$\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }$

A = 339.336 cm²

Learn more about the area of a sector here:

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3 years ago

I need 2 and 4! So please help me thx :)

katen-ka-za [31]

2. final answer 3/4

Multiplying a positive and a negative equals a negative

3 x -1/4

Change

-3 1/4

calculate the product

-3/4 < — final answer

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3 years ago