Question

BC is parallel to DE.

AB= X, AD=5, AC=X+1 and AE=7. The value of X is?
A: 0.5
B: 1.5
C: 2.5
D: 3.5

Answer 1

x= 2.5

Explanation:

We can use ratios to solve

AB AD

------- = ----------

AC AE

X 5

------- = ----------

x+1 7

Using cross products

7x = 5(x+1)

Distribute

7x = 5x+5

subtract 5x

7x-5x = 5x-5x+5

2x= 5

Divide by 2

2x/2 = 5/2

x = 2.5