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

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

x = 12

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10