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erma4kov [3.2K]
3 years ago
15

Angle G and H are vertical angles. If angle G is 45 degrees and angle H is 2x degrees, what is the value of x?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

x = 22.5

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.

The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.

2x = 45

Divide both sides by 2.

x = 22.5

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A large fitness center offers a track, weight room, and pool. The fitness center charges $29 per month for a basic
jonny [76]

Answer:

6.8 hours of pool use for a total monthly charge of $69.80

Step-by-step explanation:

6.8(6)+29=69.80

4 0
3 years ago
Read 2 more answers
Samuel is solving the equation 3(x - 1) + 4 = 2 - (x + 3). Which equivalent equations might Samuel use? Select the TWO correct a
mote1985 [20]

A= 3, and 4. (c & d)

1. Solve the Equation: 3(x - 1) + 4 = 2 - (x + 3)\\, to get

------------------------------------------

1a. Use the distributive property to multiply 3 by x−1.

3x−3+4=2−(x+3)

1b. Add −3 and 4 to get 1.

3x+1=2−(x+3)

1c. To find the opposite of x+3, find the opposite of each term.

3x+1=2−x−3

1d. Subtract 3 from 2 to get −1.

3x+1=−1−x

1e. Add x to both sides.

3x+1+x=−1

1f. Combine 3x and x to get 4x.

4x+1=−1

1g. Subtract 1 from both sides.

4x=−1−1

1h. Subtract 1 from −1 to get −2.

4x=−2

1i. Divide both sides by 4.

x=4−2​

1j. Reduce the fraction 4−2​=−0.5 to lowest terms by extracting and canceling out 2.

x=−21​ or x = -21

-------------------------------------

Now that you know the answers, solve the others:

2. A= 1, so this is wrong. How I solved it is shown below:

-----------------------------------

1a. Add −3 and 4 to get 1.

3x+1=2−x+3

1b. Add 2 and 3 to get 5.

3x+1=5−x

1c. Add x to both sides.

3x+1+x=5

1d. Combine 3x and x to get 4x.

4x+1=5

1e. Subtract 1 from both sides.

4x=5−1

1f. Subtract 1 from 5 to get 4.

4x=4

1g.Divide both sides by 4.

x=44​

1h. Divide 4 by 4 to get 1.

x=1

----------------------------

3. A= .5, so it is Correct. Work below

-----------------------------

3a. Add x to both sides.

3x+3+x=5

3b. Combine 3x and x to get 4x.

4x+3=5

3c. Subtract 3 from both sides.

4x=5−3

3d. Subtract 3 from 5 to get 2.

4x=2

3e. Divide both sides by 4.

x=42​

3f. Reduce the fraction 42​=0.5 to lowest terms by extracting and canceling out 2.

x=21​ (A = 1/2 or .5)

-----------------------------

4. A= .5, so it is correct. Work below. Now we have our 2, so we don't need to do it again.

-------------------------------

4a. Add −1 and 4 to get 3.

3x+3=2−x+3

4b. Add 2 and 3 to get 5.

3x+3=5−x

4c. Add x to both sides.

3x+3+x=5

4d. Combine 3x and x to get 4x.

4x+3=5

4e. Subtract 3 from both sides.

4x=5−3

4f. Subtract 3 from 5 to get 2.

4x=2

4g. Divide both sides by 4.

x=\frac{2}{4}

4h. Reduce the fraction 42​=0.5 to lowest terms by extracting and canceling out 2.

x=\frac{1}{2}

7 0
3 years ago
Line f has a slope of -3. What is the slope of the line that is perpendicular to line f?
Fynjy0 [20]

Answer:

1/3

Step-by-step explanation:

slope of line f (m) = -3

Slope of perpendicular line to f m1 = -1/m = -1/-3 = 1/3

6 0
3 years ago
If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.
Tom [10]
EG is the whole thing.
This means that EF + FG = EG

<span>EF=2x-5
</span><span>FG=3x-6
</span><span>EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
</span>EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
<span>d. x = 6, EF = 7, FG = 12</span>
5 0
3 years ago
not sure what the answer is... ignore the fact that an answer is clicked it won't let me undo the answer i clicked accidentally.
zalisa [80]

the y intercept is 11.

Hope Your Thanksgiving Goes Well, Here's A Turkey

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3 0
3 years ago
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