Question

ABCD is a trapezoid with mid-segment (E f). If Ad=5x-11, E f=3x+7, Bc=2x+7, how many units in length is (E f) i need equation, algebra procedures, value of x, and length of (E f)

Answer 1

x = 18

Explanation:

The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:

((5x - 11) + (2x + 7)) /2 = 3x + 7

Simplify ((5x - 11) + (2x + 7)) /2:

(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2

Therefore:

(7x - 4) /2 = 3x + 7

Now solve this simultaneous equation:

7x - 4 = 6x + 14

7x = 6x + 18

x = 18