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3 years ago

What is m∠HLK? thanks

Mathematics

1 answer:

Katen [24]3 years ago

3 0

The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°

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Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.

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Answer:

The answer to your question is (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

x² + 14x + y² - 10y = 14

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x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

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x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

(x + 7)² + (y - 5)² = 88 This is the equation in the form

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Read 2 more answers

According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed th

Kobotan [32]

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

<h3 /><h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.
If a value you are subtracting goes to the other side of the equation by adding.
When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Being "x" the number of years watching TV, and knowing that:

The number of years sleeping will exceed the number of years watching TV by 22.
A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

As the number of years sleeping will exceed the number of years watching TV by 22, then<u><em> x +22= 6 +22= 28 years.</em></u>

Finally, a person will devote 28 years watching TV and 6 years sleeping.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

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1 year ago