Answer:
x = 13
y = 15
Step-by-step explanation:
ST = DT ( Reason : from given )
5x = 65
x = 65 / 5
x = 13
TY = TU ( Reason : from given )
3y + 5 = 50
3y = 50 - 5
3y = 45
y = 45 / 3
y = 15
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:4w
Step-by-step explanation:
To find the greatest common factors of 12w and 8w
Using product of prime factor we get
12w=2×2×3×w
8w=2×2×2×w
Common factors
=2×2×w
=4w