Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
7
Step-by-step explanation:
it not less than and isn't above 10
Answer:
110 degrees
Step-by-step explanation:
to find the angle x, we need to use the formula to find the 50 degree angle:
(y - x) / 2 = 50
y is 210
(210 - x) /2 = 50
210-x = 100
x = 110 degrees
Area of rectangle in the middle = 12 * 9 = 108
Area of left triangle = .5 * 2 * 9 = 9
Area of right side triangle = .5 * 5 * 9 = 22.5
Total area = 108 + 9 + 22.5 = 139.5 square inches
Parallel lines have the same slope. Answer -4
