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sp2606 [1]
3 years ago
9

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

Mathematics
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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