Question

I really need help please

Answer 1

Answer:

a = 4, x = 1

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

WX = YZ , that is

a² + 5a = 5a + 16 ( subtract 5a from both sides )

a² = 16 ( take the square root of both sides )

a = ± $\sqrt{16}$ = ± 4

Since a > 0 , then a = 4

Also

XY = WZ , that is

x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Since x > 0 , then x = 1