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2 years ago

Find x so that l || m.

Mathematics

1 answer:

fredd [130]2 years ago

3 0

Answer:

x = 17

Step-by-step explanation:

Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.

Therefore:

53° + (8x - 9)° = 180°

Solve for x

53 + 8x - 9 = 180

Collect like terms

53 - 9 + 8x = 180

44 + 8x = 180

Subtract 44 from both sides

44 + 8x - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

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Double points plz help

tangare [24]

When x is 100 y will be 122

5 0

2 years ago

a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

damaskus [11]

the area of the piece of land that is not part of the garden is $28,486ft^2$ .

Step-by-step explanation:

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ $length(width)$

⇒ $120(240)$

⇒ $28,880ft^2$

Area of Garden:

Area of circular garden given by

⇒ $\pi r^2$

⇒ $\pi (\frac{D}{2})^2$

⇒ $\pi (\frac{20}{2})^2$

⇒ $\pi (10)^2$

⇒ $100\pi$

⇒ $100(3.14)$

⇒ $314ft^2$

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is $28,486ft^2$ .

8 0

2 years ago

What is the radius of the circle whose equation is x2 + y2 = 9? 3 9 81

Sav [38]

The center-radius form of the circle equationis in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". Therefore the radius of the circle with the given equation would be √9 or 3, first option. Hope this answers the question.

8 0

2 years ago

Read 2 more answers

What is a split infinitive and how do you fix it?

alexira [117]

Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.

In the given question we have to explain, what is a split infinitive and how we fix it.

As we know that,

Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.

A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.

To learn more about split infinitives link is here

brainly.com/question/8101640

#SPJ4

7 0

1 year ago

Need help with number 4 and 5

Vsevolod [243]

Answer:

4 is D

5 is B

Step-by-step explanation:

for #4 just plug the numbers into the formula: y = mx + b

for #5 use the slope formula.

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3 years ago