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Arlecino [84]
3 years ago
11

Given the figure below, find the values of x and z.

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

x=9

z=73

Step-by-step explanation:

Angle 107 and 8x+35 are vertical angles, so they are equal

107 = 8x+35

Subtract 35 from each side

107-35 = 8x+35

72 = 8x

Divide by 8

72/8 = 8x/8

9 =x

We also know that 107 and z are supplementary angles since they form a straight line.  This means they add to 180 degrees

107+z = 180

Subtract 107 from each side

107-107+z=180-107

z =73

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1 year = 365 days.

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1 hour = 60 minutes.

First convert the hours and minutes in Jupiter orbit to days:

14*60 = 840 +9 = 849 minutes.

849 / 60 = 14.15 hours.

14.15 / 24 = 0.59 days.

Jupiter's orbit is 4332.59 days.

Now divide that by 365 for the number of years:

4332.59 / 365 = 11.87 years.

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$32,520 divided by 30 people
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8 0
3 years ago
Find the area of the segment (unshaded area) of Circle G with radius 4in. Round to the nearest tenth.
Romashka [77]

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The sector is 1/4 th of circle

Area of sector

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  • π(4)²/4
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4 0
2 years ago
Read 2 more answers
the length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dime
ss7ja [257]
57.2-6.7-6.7=43.8
43.8÷6=7.3
7.3×2+6.7=21.3
length = 21.3cm
width = 7.3cm
(21.3×2)+(7.3×2) = 57.2
hope that helps
6 0
3 years ago
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