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3 years ago

9

PLEASE HELP ME!! 1.02: Triangle Similarity 1 What is the value of X?

1 answer:

hichkok12 [17]3 years ago

6 0

Answer:

<h2>x = 28</h2>

Step-by-step explanation:

ΔARP and ΔCRD are similar. Therefore the sides are in proportion:

$\dfrac{AR}{CR}=\dfrac{PR}{DR}$

We have:

AR = 10 + x

CR = x

PR = 15 + 42 = 57

DR = 42

Substitute:

$\dfrac{10+x}{x}=\dfrac{57}{42}$ <em>cross multiply</em>

$42(10+x)=57x$ <em>use distributive property</em>

$(42)(10)+(42)(x)=57x$

$420+42x=57x$ <em>subtract 42x from both sides</em>

$420=15x$ <em>divide both sides by 15</em>

$x=28$

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Answer:

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Step-by-step explanation:

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