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laila [671]
1 year ago
13

Given MTS and SQP, find sq

Mathematics
1 answer:
Anna71 [15]1 year ago
6 0

From the given similar triangles we can conclude that the length of Side SQ is; 4

<h3>How to solve similar triangles?</h3>

We are given that;

PQ is parallel and congruent to MT.

Now, from the concept of similar triangles , we can say that;

PS/TS = QS/MS

From the given triangle we see that;

PS = 3 - 2x

QS = 6x - 1

MS = 30

TS = 10

Thus;

(3 - 2x)/10 = (6x - 1)/30

Cross multiply to get;

3(3 - 2x) = 6x - 1

9 - 6x = 6x - 1

Rearranging gives;

6x + 6x = 9 + 1

12x = 10

x = 10/12

x = 5/6

Thus;

SQ = 6(5/6) - 1

SQ = 4

Read more about Similar Triangles at; brainly.com/question/11920446

#SPJ1

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