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3 years ago

What must be the value of x for a to be parallel to b? m∠1 = 98 and m∠2 = 9x+17

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

I think it is C .....

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Jobisdone [24]

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3 years ago

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If lin runs 24 laps at the same rate how long does it take her

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is that all

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if she runs 24 laps a minute then the next minute she would of ran 48

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2 years ago

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Problem 1: 2x > 4x - 6<br> problem 2: -3r < 10 - r<br> problem 3: 5c - 4 > 8c + 2

Trava [24]

<span>Problem 1: 2x > 4x - 6
2x < 6
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-2r < 10
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3 years ago

What is the value of x?

WINSTONCH [101]

Answer:

$\large\boxed{x=8\sqrt2}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2$

$\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2$

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3 years ago

James wants to construct a regular hexagon inscribe in a circle with center O and diameter PQ

Brums [2.3K]

Answer:

B. Place the compass at P and draw an arc of length OP across the circle.

Below is the diagram for help.

Step-by-step explanation:

We are given with an already constructed circle of diameter $PQ$ and $OP$ as radius.

To draw a regular hexagon(six-sided), we need to make first cut on the circle of an arc equal to radius of the circle taking any point of the diameter as center

So here, We will consider $P$ as a center and take an arc of length $OP$ and make a cut on the circle.

This would be the first step and James need to repeat the same steps by considering the newly formed cut as center each time.

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3 years ago