Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
Answer:
3:5
Step-by-step explanation:
ratio is 4:6 so ratio equals 2:3
red marbles is 3/5
Surface area of a rectangular pyramid = A + 1/2 p s
Where:
A = area of the base
p = perimeter of the base
s= salnt height = 5 in
A = Area of a rectangle = length x width = 8 x 4 = 32 in2
Perimeter of the base = 2 lenght + 2 width = 2(8)+2(4) = 24 in2
SA = 32 + 1/2 * 24 * 5 = 92 in2
