Point B is on line segment AC . Given AB=3x, AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC

AC = 15

Step-by-step explanation:

Point B is on line segment AC .

Given

AB=3x

BC=4x+8,

AC=5x+10

determine the numerical length of AC

                 3x                                4x+8

ABC

|<5x+10 >|

AB + BC = AC

3x + 4X + 8 = 5X + 10

combine like terms:

3x + 4x - 5x = 10 - 8

simplify:

2x = 2

x = 2 / 2

x = 1

solve for AC

AC = 5x + 10

AC = 5(1) + 10

AC = 15

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6