Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Answer:
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
First, we need to cross multiply on both sides, which gives us:
9 * (5x - 6) = 27 * (2 + x)
45x - 54 = 54 + 27x
Now, we want to isolate x on either side.
We can substract 54 from both sides:
(45x - 54 = 54 + 27x) - 54
45x - 108 = 27x
We then subtract 45 from both sides:
(45x - 108 = 27x) - 45
-108 = -18x
Finally, we divide both sides by -18:
(-108 = -18x) / -18
6 = x
Answer:
x = 64°
Step-by-step explanation:
Answer:
The answer: is 118
I hope this help you enjoy :D
Step-by-step explanation:
