2 years ago

How to find the measure of angle FGC If segments AC and BD are parallel and they are cut by the transversal FE

1 answer:

6 0

Angles FGC and FHD are equal by the Corresponding Angles Theorem.

Make them equal to each other in an equation.
3x - 9 = 2x + 1
Add 9 to both sides.

3x = 2x + 10
Subtract 2x from both sides.

x = 10

Plug in 10 for x in the expression for angle FGC, 3x - 9.
3(10) - 9
30 - 9 = 21

∠FGC = 21°.

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A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been e

andrew-mc [135]

You can solve this analytically to get
.. 55000*(1 +x/100)^10 = 108193
.. (1 +x/100)^10 = 108193/55000
.. 1 +x/100 = (108193/55000)^(1/10)
.. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00

but I find it just as fast to have a graphing calculator do it.

The city's population is increasing 7% per year.

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3 years ago

Solve the system of equation by the addition method x-2y=11 and -x+6y =-31

Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0

3 years ago

A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the

solong [7]

Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

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2 years ago

Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much wa

umka21 [38]

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
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30x - 6x + 100 = 400
24x + 100 = 400
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x = 12.50

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1 year ago

Find the value of x A. 90.3 B. 13.4 C. 9.5 D. 14.2

nevsk [136]

Answer:

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2 years ago