Answer:
<h2>The diagonal of the volumetric figure is 7 units long.</h2>
Step-by-step explanation:
The figure is attached.
Notice that the dimensions of the prism are
First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.
Let's use the Pythagorean's Theorem
This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.
Let's use again Pythagorean's Theorem
Therefore, the diagonal of the volumetric figure is 7 units long.
Answer:
Step-by-step explanation:
#1. For lines l and m to be parallel, angles 3 and 6 would have to add up to equal 180. This is the Same Side Interior Angle Theorem.
For #2, angles 3 and 7 are corresponding, meaning they are in the same place in both angle groups. Because of this, they are congruent. That means that they equal one another.
If angle 3 is 4x + 12 and x = 15, then angle 3 = 72.
If angle 7 is 80 - x and x = 15, then angle 7 = 65. So if this is the case, the lines l and m are not parallel. In order for them to be parallel, angle 3 has to equal angle 7:
4x + 12 = 80 - x and we solve for the value of x that will make the lines parallel:
5x = 68 so
x = 13.6
Answer:
I think it might be $123.75
18+a, a=4
18 + 4
22
Hope this help!
