Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Answer:
Step-by-step explanation:
m = 500 - 10d
Answer:
factors are
21 and x
Step-by-step explanation:
equation 9 × 2 + 21x - 18
terms 9 , 2, 21x, -18
factors 21x = 21 and x
Answer:
x^2 ×1 2x + 36
Step-by-step explanation:
area of a square = L × B
= (x+6) (x+6) since a square has 4 equal sides, it becomes (x+6) (x+6)
= x(x+6) +6(x+6)
= x^2 + 6x + 6x +36
= x^2 + 12x +36 added all the like terms 6x + 6x = 12x
hope this helps ☆☆☆
Answer:
Option D - Line P
Step-by-step explanation:
Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.