Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Answer:
x=50
See below for word problem.
Step-by-step explanation:
While shopping, you spend $125 before tax. You buy 3 dresses at the same price each and receive a $25 discount. How much is the price of each dress?
3x-25=125
3x=125+25
3x=150
x=50
I think the answer is A sorry if I’m wrong
Answer:
D
Step-by-step explanation:
Use the formula for the SA of a hemisphere.

Now we can find the radius of the hemisphere, which is 15.
Then, we can square that and multiply it by 2 to get 450.
Now, let's use the formula for the Volume of a hemisphere.

Now we can cube 15 and multiply it by 2 to get 6750.
Then we can divide this number by 3.
2250.
So the answer is D.
Question:
Find numbers a and k so that x-2 is a factor of

and

Answer:
and 
Step-by-step explanation:
Given



Required
Find a and k
For 
Substitute -1 for x





Substitute 3 for f(-1)

Collect Like Terms


Also:
If
is a factor, then

Substitute 2 for x and 0 for f(x)





Collect Like Terms



Substitute 12a - 14 for k in 


Collect Like Terms


Solve for a


Substitute 1 for a in 


