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3 years ago

Given that triangle QRS is similar to triangle DEF, what is x?

Mathematics

2 answers:

marta [7]3 years ago

4 0

So the ratio is 40/26 = 1.54

24 ÷ 1.54 = 15.58

2x-4 = 15.58

2x = 19.58

x = 9.8

klasskru [66]3 years ago

3 0

Answer:

x = 9.8

Step-by-step explanation:

Given that triangle QRS is similar to triangle DEF.

Hence, the ratio of corresponding sides of these triangles are equal.

Thus, we have

$\frac{QR}{DE}=\frac{RT}{EB}$

Substituting the known values from the given figure

$\frac{26}{40}=\frac{2x-4}{24}$

Cross multiplying, we get

$40(2x-4)=26\cdot24\\\\80x-160=624\\\\80x=784\\\\x=\frac{784}{80}\\\\x=9.8$

The value of x is 9.8

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