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2 years ago

7

Triangle MNP is the image of triangle JKL after a 120 degrees counterclockwise rotation about point Q. If the measure of angle L

is 47 degrees and the measure of angle N is 57 degrees, determine the measure of angle M. Explain how you arrived at your answer.

1 answer:

gtnhenbr [62]2 years ago

5 0

Either 129 or 46 inches

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

2 years ago

What does x equals in 2x + 16= -26

vredina [299]

Answer:

-21

Step-by-step explanation:

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2 years ago

An equation and the first step in its solution are shown: Equation: x2 + 8x - 9 = 0

Novay_Z [31]

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2 years ago

All of the following are suggestions of things to do if you have time left after completing the test except:

Fantom [35]

The correct option is B. Reread the directions for each section.

If you have time left after completing the test don't reread the directions for each section.

<h3>What is meant previewing a test?</h3>

In order to find the various problem kinds and their point values during the test preview, you must read the complete test. Mark the questions that you can answer quickly and easily.

The benefits of previewing the test are-

You will probably be given credit for the answers even if you accidentally copied them from the scratch paper.
Your effort on the scratch paper can earn you some points if a thoughtless mistake causes you to get the answer wrong.
If you do make a mistake, it will be simpler to find it when the instructor goes through the test.
By doing this, you can avoid making the same errors on your next exam.

Therefore, resolve each issue by re-entering the solution into the equation or performing the opposing operation needed to provide the appropriate response. Do not leave the testing room until the bell has rung or after you have gone over each problem twice.

To know more about Previewing, here

brainly.com/question/1144128

#SPJ4

The complete question is-

All of the following are suggestions of things to do if you have time left after completing the test except

A. Look at your answer sheet to make sure its filled properly

B. Reread the directions for each section

C. Return to the questioms you were unsure of

D. Make sure your answers correspond to the correct questions

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1 year ago

Hi wyd and can you have more than one number to subtract

lidiya [134]

What do you mean by that i mean yeah you can have as many as needed to subtract

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2 years ago

Read 2 more answers