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2 years ago

The two triangles below are similar. What is the ratio of the corresponding side lengths?

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

6 0

Side AB = 4 cm
Side A'B' = 2 cm

The ratio would be 4:2

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-17+ 1/4 x + 1/4 x + 31 = 24

wlad13 [49]

<h2><u>Answer:</u></h2><h2><u></u> $\boxed{x=20}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>

$\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

<em> - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

<u /> $-17+\frac{1}{2}x+31=24$ <u />

<em />

$-17+31=14$

<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>

<u /> $14+\frac{1}{2}x=24$ <u />

<h3>3.) Subtract 14 from both sides:</h3>

$14-14=$ Cancels Out

$24-14=10$

<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>

<u>Equation at the end of Step 3:</u>

<u /> $\frac{1}{2}x=10$ <u />

<h3>4.) Multiply both sides by 2:</h3>

<em /> $\frac{1}{2}x$ <em> </em>× $2=x$ <em />

<em /> $10$ <em> </em>× $2=20$

<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>

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