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Anettt [7]
3 years ago
10

1 unit = 10in what is the perimeter and area?

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0
224 inches is the perimeter
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What is work shown for -6 - 4x =26
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x = -8

Step-by-step explanation:

-6 - 4x = 26

- 4x = 32       add 6 to both sides

x = -8        divide both sides by -4 to isolate the variable

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Determine the values of x and y in the diagram and use them to determine the measures of the eight angles
AleksAgata [21]

Answer:

Part 1) x=8

Part 2) y=12

Part 3) m\angle a=105^o

Part 4) m\angle b=75^o

Part 5) m\angle c=105^o

Part 6) m\angle d=75^o

Part 7) m\angle e=105^o

Part 8) m\angle f=75^o

Part 9) m\angle g=105^o

Part 10) m\angle h=75^o

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Determine the value of x

we know that

m\angle a=m\angle g ----> by alternate exterior angles

substitute the given values

(17x-31)^o=(12x+9)^o

solve for x

17x-12x=9+31\\5x=40\\x=8

Part 2) Determine the value of y

we know that

m\angle c+m\angle d=180^o ----> by supplementary angles (consecutive interior angles)

substitute the given values

(7y+21)^o+(5y+15)^o=180^o

solve for y

(12y+36)^o=180^o

12y=180-36

12y=144

y=12

Part 3) Find the measure of angle a

we have

m\angle a=(17x-31)^o

substitute the value of x

m\angle a=(17(8)-31)=105^o

Part 4) Find the measure of angle b

we know that

m\angle a+m\angle b=180^o ----> by supplementary angles (consecutive interior angles)

we have

m\angle a=105^o

substitute

105^o+m\angle b=180^o

m\angle b=180^o-105^o

m\angle b=75^o

Part 5) Find the measure of angle c

we know that

m\angle c=m\angle a ----> by vertical angles

we have

m\angle a=105^o

therefore

m\angle c=105^o

Part 6) Find the measure of angle d

we know that

m\angle d=m\angle b ----> by vertical angles

we have

m\angle b=75^o

therefore

m\angle d=75^o

Part 7) Find the measure of angle e

we know that

m\angle e=m\angle a ----> by corresponding angles

we have

m\angle a=105^o

therefore

m\angle e=105^o

Part 8) Find the measure of angle f

we know that

m\angle f=m\angle b ----> by corresponding angles

we have

m\angle b=75^o

therefore

m\angle f=75^o

Part 9) Find the measure of angle g

we know that

m\angle g=m\angle c ----> by corresponding angles

we have

m\angle c=105^o

therefore

m\angle g=105^o

Part 10) Find the measure of angle h

we know that

m\angle h=m\angle d ----> by corresponding angles

we have

m\angle d=75^o

therefore

m\angle h=75^o

6 0
3 years ago
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