Answer:
The measure of angle 7 is 76°.
Step-by-step explanation:
If two lines intersect each other, then the alternative angles are known as vertically opposite angles.
The vertically opposite angles are always congruent.
From the given figure it is noticed that the angle 2 and 4 are vertically opposite angles.
Divide both sides by 7.
The value of x is 18.
From the given figure it is noticed that the angle 5 and 7 are vertically opposite angles.
Substitute x=18.
Therefore the measure of angle 7 is 76°.
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
Plug in the numbers.
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
V = 120 in^3
Answer:
A
Step-by-step explanation:
Joint variation is given by:
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
Solving for k:
Therefore, our equation is:
Then when x = 5 and z = 12:
The answer is A.