The answer to the question is
-8 (3x-4)
Answer:
True
Step-by-step explanation:
Two shapes are congruent if when turning, flipping or sliding one shape it can become another.
Answer:
a=-6
Step-by-step explanation:
4= 6/a + 5
Subtract 5 from each side
4-5= 6/a + 5 -5
-1 = 6/a
Multiply by a on each side
-1*a = 6/a *a
-a =6
Multiply by -1
a= -6
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
The jeep gets 22 miles per gallon...
he has 5 gallons in the tank already....
buys gas at 1.25 per gallon.....spends $ 22...so he buys 22 / 1.25 = 17.6 gallons
so he has a total of (5 + 17.6) = 22.6 gallons....at 22 miles per gallon =
22.6 * 22 = 497.2 miles <==