MATH SOLVE

2 months ago

Q:
# Help !! Emergency: HW due tomorrow Required to write a system of equations 11Find x,y and measurement of angle GFQ12Find x,y and measurement of angle AGD

Accepted Solution

A:

Answer:For 11. x = 15 and y = 15 ; ∠GFQ = 45° Step-by-step explanation:Work for 11.Know that when you add ∠GFS ∠QFP ∠PFT to ∠GFQ it should equal 180° because they are supplementary.(2x + y) + (3x) + (3x + y) + (x + y) = 180 (5x + y) + (4x + 2y) = 180 9x + 3y = 180Then add ∠GFQ ∠QFP ∠PFT ∠TFE(3x) + (3x + y) + (x + y) + (3x) = 180 (6x + y) + (4x + y) = 180 10x + 2y = 180Make the 2 equations equal to each other to find x and y. 9x + 3y = 10x + 2y- 9x - 9x 3y = x + 2y - 2y - 2y y = xThen plug in for y for ∠QFP ∠PFT (3x + (x)) + (x + (x)) = 90 4x + 2x = 90 6x = 90 [tex]\frac{6x}{6} = \frac{90}{6}[/tex] x = 15Then plug in x for ∠GFQ 3(15) = 45Then to find y you add ∠GFQ and ∠QFS and plug in for x.45 + (2(15) + y) = 90 45 + 30 + y = 90 75 + y = 90 - 75 - 75 y = 15