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OleMash [197]
2 years ago
11

If triangle PQR is similar to SQT, find the value of

Mathematics
2 answers:
ankoles [38]2 years ago
5 0

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

\frac{x-9}{x-9+x+5}  = \frac{8}{21}

\frac{x - 9}{2x - 4} = \frac{8}{21}

21x - 189 = 16x - 32\\5x = 157\\x = 31.4

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

exis [7]2 years ago
4 0

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

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