Answer:
angle DFG = 49 degrees
angle JKL = 41 degrees
Step-by-step explanation:
When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.
In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.
angle DFG = x + 5
angle JKL = x - 3
(x + 5) + (x - 3) = 90
2x + 2 = 90
2x = 90 - 2
2x = 88
x = 44
But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.
DFG = (44) + 5 = 49
JKL = (44) - 3 = 41
There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 36

Putting x=100 in Eqn 2

Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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9514 1404 393
Answer:
(a) (4, 8)
Step-by-step explanation:
Apply the transformation rule to the coordinates of point H.
(x, y) → (x +8, y +5)
H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)
Answer:
D
Step-by-step explanation:
I just took it
It should take about 13.3 hours