Look at the figure shown below

Mathematics

1 answer:

Setler79 [48]3 years ago

6 0

Answer:

Answer is given below with explanations.

Step-by-step explanation:

Answer is option 1) 85 : 51

$given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51}$

Option 1 is correct.

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Step-by-step explanation:

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