Answer:
Step-by-step explanation:
How does M what?
Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
All you need to do is convert all equations into standard form by using the distributive property on each equation.
Vertical angles is the same angle, but we don't know "x". If you look in a way. We can do 180=(3x+80).
100=3x
100/3 = x
Now we have the answer for x we plug it in to get the answer.
3(100/3) + 80 =<D
<D = <C
G(f(x)) = g(2x +7) = -3(2x +7) +9 = -6x -21 +9
g(f(x)) = -6x -12