If 36 nails weigh a pound, you have to multiply 36 by 7 to find 7 pounds. So,
Answer:
angle 2 and 4....1and 3
Step-by-step explanation:
the lines bisects each other forming two equal but adjacent angles which are vertically opposite
Answer:
- 3.6 pounds of granola and 5.4 pounds of nuts
Step-by-step explanation:
Let the required granola be x pounds, then amount of nuts is 9 - x.
<u>The price of the mixture is as below equation:</u>
- 6.5x + 9(9 - x) = 8*9
- 6.5x + 81 - 9x = 72
- 81 - 2.5x = 72
- 2.5x = 81 - 72
- 2.5x = 9
- x = 9/2.5
- x = 3.6
<u>Find the amount of nuts:</u>
Answer is <span>D.
A and D
A = 2(6+2) = 16
D = 2(4+3) = 16
both have perimeters = 16</span>
Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
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Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
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Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
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Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
