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2 years ago

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Mathematics

1 answer:

Olin [163]2 years ago

8 0

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

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Solve 3x - 9x + 7 - 3 = -8. 6 -6 2 -2

alexgriva [62]

Answer:

x=2

Step-by-step explanation:

add like terms (3x-9x= -6x, 7-3= 4)
then move the constant to the right (-8+4=-12)
finally divide it by 6 which gives you "x"

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3 years ago

Please find the fully simplified intercept form!!!! Will mark Brianliest !!!!!!!!!!!

photoshop1234 [79]

Answer:

y = -1/3x - 8

Step-by-step explanation:

Slope intercept form:

y = mx + b

Use two points from the graph:

(0, -8) and (3, -9)

The first point is the y-intercept:

b = -8

Find the slope using the slope formula:

m = (y2 - y1)/(x2 - x1)
m = (-9 - (-8))/3 = -1/3

The equation is:

y = -1/3x - 8

7 0

2 years ago

A bicycle tire has a diameter of 62 \text{ cm}62 cm62, start text, space, c, m, end text. What is the distance the bicycle tire

navik [9.2K]

Answer:

The distance bicycle tire travels is 1946.8 cm.

Step-by-step explanation:

Given:

Diameter of bicycle tire = 62 cm.

The bicycle tire travels in 10 revolutions.

Now, to find the distance the bicycle tire travels in 10 revolutions.

Diameter = 62 cm.

Radius (r) = $\frac{Diameter}{2}=\frac{62}{2}=31\ cm.$

So, we get the circumference first by putting formula:

$Circumference =2\pi r$

$Circumference =2\times 3.14\times 31\\\\Circumference =194.68\ cm.$

Thus, we get the circumference of tire 194.68 cm.

Number of revolutions the tire travels = 10.

Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

$194.68\ cm\times 10\\\\=1946.8\ cm.$

Therefore, the distance bicycle tire travels is 1946.8 cm.

4 0

3 years ago

Read 2 more answers

A 17.2 gallon gasoline tank is 1/2 full. How many gallons will it take to fill the tank?

love history [14]

Answer:

8.6

Step-by-step explanation:

We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)

17.2 / 2 = 8.6

We can check our work by multiplying

8.6 x 2 = 17.2

So it would take 8.6gal to fill it up. I hope this helps :)

3 0

3 years ago

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Yakvenalex [24]

3 is the correct answer Finn he is corn

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3 years ago