Answer:
The value of x =10°
Step-by-step explanation:
Check attachment for solution.
Triangle theorem: the sum of the opposite interior angle is equal to the exterior angle.
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2x+14+3x+15=7x+9
Collect like terms
2x+3x-7x=9-14-15
-2x=-20
Divide both side by -2
x=10°
Answer:
y = 8x + 50
Step-by-step explanation:
Use (0,50) and (10,130)
Slope: m = (130-50)/(10-0) = 8
Y-intercept is 50
y = 8x + 50
Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle =
where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
Answer:
180 feet
Step-by-step explanation:
The length of each curtain = 48 inches. Let the length of the curtain in feet be represented by x.
But,
1 inch = 12 feet
So that,
48 inches = x feet
⇒ x = 
= 4
Thus,
48 inches = 4 feet
The number of feet of fabric needed for 45 curtains can be determined as:
45 x 4 feet = 180 feet
Therefore, 180 feet of fabric would be needed to make 45 curtains.
Answer:

Step-by-step explanation:
Let number of gallons in tank be 'g'
We know that maximum possible number of Miles per tank of fuel are 363. This is called the fuel range of the car when gas tank is full
For every gallon which is being utilized there is a decrease in range by 16.5 Miles
Hence the highest possible gallons of tank will be when the car gives full range.
Hence range is function of gallons and equation can be written as follows:

Solving for g


Which means that maximum possible fuel in SUV can be 22 Gallons