Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
- y = 5x + 11 or -5x + y = 11
Step-by-step explanation:
<u>Given line:</u>
<u>In slope-intercept form:</u>
<u>The parallel line has the same slope and will look as:</u>
<u>This line passes through the point (-2, 1), substitute:</u>
- 1 = 5*(-2) + b
- b = 1 + 10
- b = 11
<u>So the line is:</u>
or
So if the equation is 6y<18, you have to get the y alone so you have to do inverse operations.
Since 6 is being multiplied by y, you have to divide the whole equation by 6. You are left with y<3, which is the answer. Do you understand?
