Answer:
B. 20x + 15
Step-by-step explanation:
Get rid of the parenthesis and combine like terms: 18x + 2x and 9k + 6k
You get: 20x + 15.
<u>Answer:</u>
-2/3
<u>Step-by-step explanation:</u>
We are to find the slope of a line which is perpendicular of a line with an equation 
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.
So writing the given equation of a line in the slope intercept form:
---> 
Here the slope of this line is 
so the slope of a line which is perpendicular to the given line will be 
.
Put it in slope form: y=mx+b
8y= 4x-16
Divide by 8
Y = 1/2x -2
1/2 is x intercept and -2 is y intercept
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!
