Both angles need to equal 180 degrees .
Add them together:
2x +10 + 3x-5 = 180
5X +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
X = 175 / 5
X = 35
Now replace X with 35 in each equation:
2x +10 = 2(35) +10 = 70 +10 = 80
3x-5 = 3(35) - 5 = 105 -5 = 100
The answer is A. 80 and 100
-3 because if you add -3 to 3 you get 0
Y-8=-1/2x + (-2)
+8 +8
y=-1/2x +6
I just used a 2 step equation for it. I first used Distributive Property. Then Subtracted 8 from each side
Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
Using that rule, we can see that x+5 is really x-(-5) so k = -5.
Therefore,
p(k) = 0
p(-5) = 0
so the answer is choice D.
