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3 years ago

Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?

Mathematics

1 answer:

natta225 [31]3 years ago

5 0

Answer:

The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;

1) Supplementary linear pairs and

2) Vertical angles

3) Alternate angles

Given that either;

a) The corresponding angles that form the linear pairs are congruent

b) The corresponding vertically opposite angles are congruent

c) The corresponding alternate angles are congruent, we have;

The two lines are said to be parallel.

Step-by-step explanation:

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inna [77]

Answer:

D. f⁻¹(x) = 2x + 10

Explanation:

The given is:

$f(x) = \frac{1}{2}x - 5$

To find the inverse, follow the below procedures:

1- Convert f(x) to y.

This will give:

$y = \frac{1}{2} x - 5$

2- Swap the x and y variables.

This will give:

$x = \frac{1}{2}y - 5$

3- Solve for y.

This will give:

$x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10$

4- Replace the y in the above step with f⁻¹(x).

This will give us:

f⁻¹(x) = 2x + 10

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3 years ago

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AURORKA [14]

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4 years ago

Write the ratio 28 to 56 in simplest form

Andre45 [30]

The ratio shown in fraction form would be; $\frac{28}{56}$

Now to convert it to its simplest form, you need to find their greatest common factor; (so in this case it would be 28...cause 28 goes into 56 evenly)
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X² + 2x – 1 = 0 in English words.

Svet_ta [14]

Answer:

x squared plus two times x minus one = zero.

Step-by-step explanation:

(This is a Quadratic equation in the variable x).

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