Question

Find the value of x and EF. A and B are midpoints.

Answer 1

Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14