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3 years ago

F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

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X = <br><br> y = <br><br> m ∠ H = <br><br> m ∠ G =

Lorico [155]

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

$2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93$

Hope this helps!

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3 years ago

Which pairs of angles are alternate interior angles? Select all that apply.

andrezito [222]

<h3>Answers: Choice A and Choice C</h3>

Explanation:

Think of the vertical lines as train tracks (the metal rails).

Stuff between the rails are interior angles.

Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.

Alternate interior angles are congruent when we have parallel lines like this.

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2 years ago

What are the numbers after 10 8 7 9

kramer

Answer:

Step-by-step explanation:

ven numbers always end with a digit of 0, 2, 4, 6 or 8.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

Odd numbers always end with a digit of 1, 3, 5, 7, or 9.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

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I believe that the mean is 6

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