What is the value of x? Justify each step. AC=32 2x 6x+8 ... A B C Drawing not to scale AB + BC = AC a. 2x+6x + 8 =32 b. 8x + 8 =32 c. 8x =24 d. X =3 e.

Step-by-step explanation:

Given:

AC = 32

AB = 2x

BC = 6x+8

A. segment addition postulate:

Segment Addition Postulate states that given points A and C, a third point B lies on the line segment AC if their distances between the points satisfy the expression:

AB + BC = AC.

B. substitution

This property allows you to substitute quantities for each other into an expression as long as those quantities are equal.

2x + 6x + 8 = 32

C. Simplification property of equality

Adding the like variables together on each side of the equality.

8x + 8 = 32

D. Subtraction property of equality

This involves subtracting the same value on both sides of the equality.

8x + 8 - 8 = 32 - 8

8x = 24

E. Division property of equality

Dividing both sides of the equality with a non zero value.

8x/8 = 32/8

x = 3

3

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.