The roof is made up of 2 similar pieces of 2 rectangle shapes.
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Area of a rectangle = Length x Width
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Area of a rectangle = 50 x 14 = 700 ft²
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Area of 2 rectangle pieces:
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Area of 2 rectangle pieces = 700 x 2 = 1400 ft²
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Find the cost:
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1ft² = $2.75
1400 ft² = 2.75 x 1400
1400 ft² = $3850
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Answer: It will cost $3850 to have the roof replaced. (Answer A)
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Answer:

Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.



Equation of a circle: 
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:


To find
, simply substitute one of the points into the equation and solve:



Therefore, the equation of the circle is:

Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
Answer:
Step-by-step explanation:
<u>Given line:</u>
<u>Convert the equation into slope-intercept form:</u>
- x - 4y = 20
- 4y = x - 20
- y = 1/4x - 5
It has a slope of 1/4.
Parallel lines have equal slopes.
<u>Find the parallel line lines that passes through the point (2, - 5):</u>
<u>Substitute x and y values to work out the value of b:</u>
- - 5 = 1/4*2 + b
- - 5 = 1/2 + b
- b = - 5 - 1/2
- b = - 11/2
<u>The line is:</u>
<u>Covert this into standard form:</u>
- y = 1/4x - 11/2
- 4y = x - 22
- x - 4y = 22