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notsponge [240]
3 years ago
8

Which of the following is the value of PQ ? Helllp please

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

B. 61

Step-by-step explanation:

Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.

Therefore,

RQ = SQ

3x + 16 = 7x - 24

Collect like terms

16 + 24 = 7x - 3x

40 = 4x

Divide both sides by 4

\frac{40}{4} = \frac{4x}{4}

10 = x

x = 10

Find PQ:

PQ = 2x + 41

substitute x = 10 into the equation

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

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