Answer:
10
Step-by-step explanation:
We need to construct the system of equations in order to solve that problem. Let's denote one-time membership fee with x and monthly fee with y. Then we can write that John paid x+6y=325 and Abigail paid x+9y=475. Solving the system of equations

, we find that x=25 and y=50. The monthly fee is 50 dollars.
The angle the beam makes with the pool surface is 29.72°.
Step-by-step explanation:
<u>Data:</u>
The spotlight and surface of a swimming pool makes a 90 degree angle.
Spotlight stand is 3m (Opposite)
Beam of light hits the water 7m away from the base of light (base)
Angle = ?
<u>Use sin to solve</u>
Formula:
Tan (Angle) = 
Solution:
Sin (Angle) = 
Angle =
(0.571)
Angle = 29.72°
Therefore, the angle the beam makes with the pool surface is 29.72°.
Keyword: Angle
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Answer:A
: 4x-28= X+68 corresponding angles are congruent
-X. = -X
3x-28=68
+28=+28
3x= 96
Divide by 3
X= 32. 4x-28
Angle 1 = 4(32)-28 128-28=100
X+68
Angle 2= 32+68=100
(-3)^2 -4(-3) + 3
9 + 12 + 3
So the answer is 24