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3 years ago

What is the midpoint of the segment shown below?

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer:

choice. c.) (5, 1/2)

Step-by-step explanation:

(5, 4) and (5, -3)

Use midpoint formula ( (a + x)/2 , (b + y)/2) for (a,b), (x,y)

midpoint = ( (5+5)/2, (4+- 3)/2) = (5, 1/2)

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Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

can you help me evaluate this: 7m + 14m - 6n - 5n + 2m. why do you add 6n with 5n instead of subtract?

Mademuasel [1]

Step-by-step explanation:

The reason is because it is not just 6 it is - 6 so when there are two negative numbers they don't subtract they add if it was 6n then it was to be subtracted

21m - 11n + 2m

23m - 11n

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3 years ago

In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes. What is the ratio

ira [324]

Answer: C

I hope this helps. Lol I solved it easily. Good luck

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3 years ago

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You mix 3 and one half quarts of juice with 5 and one fourth quarts of ginger ale to make fruit punch. What is the ratio of the

Romashka [77]

Answer:

1.5:2.25 because there is 1.5 quarts of juice and 2.25 quarts of ginger ale and the you put that with the to sign and there you have it

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3 years ago

Math question down below

julsineya [31]

This data set has no outliers, because all of the numbers are close together.

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