Answer:
180 - 90 = 90
half of 90 = 45
40 and 50??
Step-by-step explanation:
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
Step-by-step explanation:
6. angle 1 = angle 4 = 60deg (vertically opposite angles)
7. angle 3 = 180 - 40 - 60 = 80deg (angles on a straight line are supplementary)
8. angle 5 = angle 2 = 40deg (vertically opposite angles)
9. angle 6 = angle 3 = 80deg (vertically opposite angles)
10. angle 7 = angle 5 + angle 4 = 40 + 60 = 100deg (alternate angles, //lines)
11. angle 8 = 180 - 100 = 80deg (angles on a str line are supplementary)
12. angle 9 = 180 - 80 - 40 = 60deg (angles in a triangle)
13. angle 10 = 180 - 60 = 120deg (angles on a str line are supplementary)
14. angle 11 = angle 9 = 60deg (vertically opp angles)
15. angle 12 = angle 10 = 120deg (vertically opp angles)
Topic: angles
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