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1. Both are corresponding angles, hence they both are equal, so,
![44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2](https://tex.z-dn.net/?f=44x%20%2B%202%20%3D%2045x%20%5C%5C%20%20%3D%20%20%3E%202%20%3D%2045x%20-%2044x%20%5C%5C%20%20%3D%20%20%3E%202%20%3D%20x%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%202)
Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,
![10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7](https://tex.z-dn.net/?f=10x%20%2B%206%20%2B%20104%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%2010x%20%2B%20110%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%2010x%20%3D%20180%20-%20110%20%5C%5C%20%20%3D%20%20%3E%2010x%20%3D%2070%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B70%7D%7B10%7D%20%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%207)
Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,
![x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10](https://tex.z-dn.net/?f=x%20%2B%2075%20%2B%20x%20%2B%20125%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%202x%20%2B%20200%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%202x%20%3D%20180%20-%20200%20%5C%5C%20%20%3D%20%20%3E%202%20x%20%3D%20%20-%2020%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%3E%20%20x%20%3D%20%20-%2010)
Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,
![12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6](https://tex.z-dn.net/?f=12x%20%2B%203%20%3D%2011x%20%2B%209%20%5C%5C%20%20%3D%20%20%3E%2012x%20-%2011x%20%3D%209%20-%203%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%206)
Ans. A) 6
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Answer:
26. D) $252
27. A) -6.7 + 6.8
Step-by-step explanation:
26. 400 * 0.3 = 120
400 - 120 = 280
280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)
280 - 28 = 252
27. -4.5 + 4.4 = -0.1
- 6.7 + 6.8 = 0.1
-0.1 + 0.1 = 0
A.
lxl=7
x=7 x=-7 (Take two cases, one as the others side negative and the other as positive)
B.
l2xl=32
2x=32 2x=-32
x=16 x=-16
C.
lx+7l=10
x+7=10 x+7=-10
x=3 x=-17
D.
lxl=53.1
x=53.1 x=-53.1
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft