−2x+2y=12 and -2x+8y=-12−2x+8y=−12

(- 10, - 4 )

Step-by-step explanation:

Given the 2 equations

- 2x + 2y = 12 → (1)

- 2x + 8y = - 12 → (2)

Multiply (2) by - 1

2x - 8y = 12 → (3)

Add (1) and (3) term by term to eliminate the x- term, that is

- 6y = 24 ( divide both sides by - 6 )

y = - 4

Substitute y = - 4 into either of the 2 equations and solve for x

Substituting into (1)

- 2x + 2(- 4) = 12

- 2x - 8 = 12 ( add 8 to both sides )

- 2x = 20 ( divide both sides by - 2 )

x = - 10

solution is (- 10, - 4 )

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh