Question

Need help 35 points.

Answer 1

Answer:

x =27

Step-by-step explanation:

-It is given in the picture that angle A is bisected so we can use the angle bisector theorem ( if a ray bisects an angle of a triangle then it divides the opposite side of the triangle into segments that are proportional to the other 2 sides)

-We write the proportions

(x+8) / 10 = (2x-5) / 14

-If a fraction equals another fraction we can cross multiply to make the division a multiplication

14 (x+8) =10 (2x-5)

- distribute multiplication over addition and subtraction

14x + 112 = 20x -50

- subtract 14x and add 50 to both sides of the equation

112+50 = 20x -14x

-combine like terms

162 = 6x

- divide both sides by 6

27 = x

Answer 2

The Answer of the x value is 45x-56=y