This question involves direct proportion which has the formula (y=kx) where y and x are the values which are proportional and k is the constant of proportionality.
The constant of proportionality is basically the value that stays the same even if the x and y values change.
In this case, the constant of proportionality would be 3/7.
Answer:
x = 53
Step-by-step explanation:
The two angles identified are alternate exterior angles. Since the lines are parallel, alternate exterior angles are equal.
2x+15 = 3x-38
Subtract 2x from each side
2x-2x+15 = 3x-2x-38
15 = x-38
Add 38 to each side
15+38 = x-38+38
53 = x
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
Answer:
w = 6.7451
x = 8.0805
Step-by-step explanation:
Find W
Tan(56) = opposite / adjacent
opposite = 10
Adjacent = w
Tan (56) = 10/w
w*Tan(56) = 10
w = 10 / tan(56)
w = 10/ 1.4826
w = 6.7451
Find x
Tan (34) = 10 / (w + x)
Tan (34) = 0.6745
(w + x) * Tan(34) = 10
w + x = 10 / tan(34)
w+ x = 10 / 0.6745
w + x = 14.826
But we found w = 6.7451
6.7451 + x = 14.826
x = 14l826 - 6.7451
x = 8.0805
