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Given that ΔPQR is similar to ΔPTS, what is the value of x?

Given that ΔPQR is similar to ΔPTS, what is the value of x? class=

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AceProcrastibakes

If the angles are similar, then the lengths must be in the same ratio. SP is 3/4ths of PR, so X should be 3/4ths of QP, so X is 16 inches.

Catherinec1

If ST and QR are parallel, then they are congruent through alternate interior angles. The triangles are also similar (I solved it. I'll show a picture) so since they are similar that means all the angles are congruent

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