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2 years ago

Which transformation changes triangle ABC to triangle A'B'C'?

Mathematics

1 answer:

forsale [732]2 years ago

3 0

Hello!

To get ABC and A’B’C’, a reflection would not work, as both reflections would cause the figure to be facing a different direction regardless the translations.

A 90 degree rotation would cause the figure to end up in Quadrant III, not II.

A 180 degree rotation would put the figure in the quadrant diagonal from it. This puts it in Quadrant II, and this makes it the only answer that would work.

The answer is D) 189 degree rotation counterclockwise about the origin.

I hope this helps!

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Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and

SpyIntel [72]

Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3

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2 years ago

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Kobotan [32]

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2 years ago

What is value of x?<br> Enter your answer in the box.

marin [14]

Answer:

$x \ = \ 10$

Step-by-step explanation:

Let point $D$ be the point where the straight line drawn from point $A$ meets the straight line $BC$ , it is evident that $\triangle ABD$ and $\triangle ACD$ is similar given that both triangles share the same angle, $\angle BAD \ = \ \angle DAC$ . Hence, the ratio of the sides of each triangle is the same. Specifically,

$\displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}$ .

Performing cross multiplication yields

$12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10$ .

8 0

1 year ago

Put a digit in the gap, such that the answer is a whole number:<br> 9x–42=5... I will give brainiest

cestrela7 [59]

9x–42=5 is x = 11.

<u>Step-by-step explanation:</u>

9x- 42 = 5...

When we put x = 9

then we will get 81 - 42 =39

put x = 10 then

9(10) - 42 = 90 - 42 - 48

put x = 11

then 9(11) - 42 = 99-42 = 57

So x = 11 is the answer.

7 0

2 years ago

A small town had a population of 960 people last year. The population increased to 1200 people this year. By what percentage did

Licemer1 [7]

Answer:

25%

Step-by-step explanation:

25% of 960 is 240. to find that we need to do...

0.25 x 960 = 240

add the percent increace to the 960.....

960 + 240 = 1,200

Hope this helped! Please mark as brainliest! Thanks!!

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2 years ago