contestada

In the diagram shown, C is the midpoint of BD. What is the
length of AC?
Set up an equation based on the given information, solve
for x, and plug answer back in to answer the question

In the diagram shown C is the midpoint of BD What is the length of AC Set up an equation based on the given information solve for x and plug answer back in to a class=

Respuesta :

jcherry99

Answer:

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20

Otras preguntas