Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
If 3x>96, dividing both sides by 3 we get that x>32, therefore only E is an acceptable answer
The Pythagorean Theorem is used to find the unknown length of a side of a triangle or (in your case) a pyramid. The Pythagorean theorem is a^2 + b^2 = c^2 with c being the hypotenuse (longest side). Use this theorem to find each of the lengths of the sides of the pyramids that you need to find the volume of each respective pyramid.
Hope this helps!
The percentage for both the cases would be 100% and 35% respectively