Answer:
x=18
Step-by-step explanation:
Hey There!
So if you did not know all of the angles in a triangle will add up to equal 180
So we use the equation
180=2x+3x+5x
and solve for x
step 1 combine like terms
2x+3x=5x
5x+5x=10x
so now we have
180=10x
step 2 divide each side by 10
180/10=18
therefore x = 18
hope this helps and if you have any more questions feel free to ask :)
Answer:
see below
Step-by-step explanation:
First we need to draw segment UT
We are using similar triangle
Triangle BTU is similar to triangle EUT
UT ≅ TU reflexive property
BT ≅ EU given
BU ≅ ET given
△UBT ≅ △TEU by SSS congruence postulate
<B ≅ <E corresponding parts of congruent triangles are congruent
Answer:
The volume = 523.3 ft.³
Step-by-step explanation:
∵ Surface area of the sphere = 4πr²
∴ 4πr² = 100π
∴ 4r² = 100 ⇒ r² = 100/4 = 25
∴ r = √25 = 5 ft.
∵ Its volume = 4/3 πr³
∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³
Answer:
30°
Step-by-step explanation: