Answer:
2/3
Step-by-step explanation:
in order to find slope we do rise over run or y over x. if you look at the pictrue, when x increases by 3 then y increases by 2. Hope this helped!!!!!!
<span>The measure of angle KJM is 108°.</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
Answer:
X = 46
Step-by-step explanation:
X + 43 + 35 + 56 =180
X + 134 = 180
X = 180 - 134
X = 46
Answer:
Step-by-step explanation:
the distance around the figure--we need to find the perimeter
we have rectangle that has the side, 8 and 15
P(r)=2(8)+2(15)=16+30=46
we also have half of the circle with the diameter =8 and r=4
Circumference =2*3.14*r
C=2*3.14*4=25.12
we need just half of the circle 25.12/2=12.56
P figure=46+12.56=58.56
Area= rectangle=l*w=8*15=120
Area(circle)=3.14*r^2=3.14*16=50.24
half circle 50.24/2=25.12
Area figure=120+25.12=145.12