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3 years ago

Sv is an angle bisector of rst. If mrsv = (3x+5) and mrst = (8x-14), find x.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

m∠RSV = 3x + 5, m∠RST = 8x - 14 given

m∠RSV ≅ m∠VST definition of segment bisector

m∠RSV + m∠VST = m∠RST angle addition postulate

(3x + 5) + (3x + 5) = (8x - 14) substitution

6x + 10 = 8x - 14 simplify (added like terms)

10 = 2x - 14 subtraction property of equality

24 = 2x addition property of equality

12 = x division property of equality

Answer: x = 12

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