I need to find what m
2 answers:
Answer:
66°
Step-by-step explanation:
Because the two angles are vertical, this means they are opposite each other ergo they are the same size.
This means we can write the question like:
m∠A = m∠B
8x + 14 = 2x + 50
Step 1 - Subtract 14 from each side:
8x + 14 - 14 = 2x + 50 - 14
8x = 2x + 36
Step 2 - Subtract 2x from each side:
8x - 2x = 2x + 36 - 2x
6x = 36
Step 3 - Divide both sides of the equation by 6:
Which simplifies to:
x = 6
m∠B = 2x + 50 so substitute in the solved x:
2(6) + 50 = 66
So m∠B = 66°
Hope this helps!
You might be interested in
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³