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What is the value of x?

What is the value of x?
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4 votes
What is the value of x?

What is the value of x?-example-1
User Spoida
by
8.3k points

1 Answer

5 votes

Answer:

x = 15

Explanation:

ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:


(RS)/(SQ)=(ST)/(RS)

We have:


RS=x\\SQ=9+16=25\\ST=9\\RS=x

Substitute:


(x)/(25)=(9)/(x) cross multiply


x^2=(25)(9)\\\\x^2=225\to x=√(225)\\\\x=15

User Humalayi
by
9.1k points
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