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Svetllana [295]
3 years ago
9

If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

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How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
(04.01 MC)
Reil [10]

Answer:

144'

Step-by-step explanation:

Your ratio is 45'/5" or 9:1

9x4"=36'

9x3"=27'

45+36+36+27=144'

I believe this is the same answer as I gave previously.

4 0
3 years ago
What is the value of 11g - 9k + 3 when g = 9 and k = 11?<br> Neatly show your work.
fenix001 [56]

Answer:

3

Step-by-step explanation:

11g - 9k + 3

Let g = 9 and k =11

11 * 9 - 9*11 +3

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Add

3

4 0
3 years ago
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Furkat [3]

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30

Step-by-step explanation:

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Hope This Helps & Good Luck :)

5 0
3 years ago
Graph the line y-3=-1/3(x+2)
e-lub [12.9K]

Slope: 1/2

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