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Ket [755]
3 years ago
9

Geometry help quickly

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

RQ = 18

Step-by-step explanation:

KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

\frac{KP}{KQ} = \frac{PR}{RQ} , substitute values

\frac{50}{45} = \frac{38-x}{x} ( cross- multiply )

45(38 - x) = 50x ← distribute left side

1710 - 45x = 50x ( add 45x to both sides )

1710 = 95x ( divide both sides by 95 )

18 = x

That is RQ = 18

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Please see attached photo for details.

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