MATHEMATICS
MIDDLE SCHOOL

Answer: Complementary angles are angles formed by the addition of two angles, which measure is 90 degrees.

Is given that angle one and angle two are complementary, in other words equal to 90 degrees. Also, is given that the measure of angle one is equal 52 degrees. For instance to find the measure of angle two, should be subtracted 52 out of 90.

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Is given that angle one and angle two are complementary, in other words equal to 90 degrees. Also, is given that the measure of angle one is equal 52 degrees. For instance to find the measure of angle two, should be subtracted 52 out of 90.

m

HIGH SCHOOL

A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º. How many sides does the gear have??

Answer:

Gear have 20 sides .

Step-by-step explanation:

Given : A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º.

To find : How many sides does the gear have.

Solution : We have given that each angle of polygon = 162 degree.

By the property of polygon :

Each angle of polygon = .

Where, n is number of sides polygon .

Plugging the values,

162 ° = .

On simplify right side , we can write it as:

162 ° = .

162 ° = 180 -.

On subtracting by 180 both side.

162 -180 = -.

-18° = - .

On multiplying by n both side

-18° × n = -360°

On dividing by - 18 by both side

n = .

n = 20 .

Therefore , gear have 20 sides .

Triangle has 180° total

square has 360° total

pentagon has 540° total

hexagon has 720° total

so they increase by 180° for every side to the polygon starting at 3 sides instead of 1 so if n is how many sides in the polygon then

(n-2)×180=degrees TOTAL inside the polygon

(n-2)×180/n=degrees for EACH angle in the polygon

(n-2)×180/n=162

multiply both sides by n

(n-2)×180=162n

divide both sides by 180

n-2=162n/180

n-2=0.9n

subtract 0.9n and add 2 to both sides to get n alone

0.1n=2

n=20 sides

Icosagon is the term for a 20 sided polygon

square has 360° total

pentagon has 540° total

hexagon has 720° total

so they increase by 180° for every side to the polygon starting at 3 sides instead of 1 so if n is how many sides in the polygon then

(n-2)×180=degrees TOTAL inside the polygon

(n-2)×180/n=degrees for EACH angle in the polygon

(n-2)×180/n=162

multiply both sides by n

(n-2)×180=162n

divide both sides by 180

n-2=162n/180

n-2=0.9n

subtract 0.9n and add 2 to both sides to get n alone

0.1n=2

n=20 sides

Icosagon is the term for a 20 sided polygon

MIDDLE SCHOOL

5 friends go out to lunch amd order pizzas. the friends divided the pizzas evenly. How much pizza did each friend get in decimal?

Each friend got 1/5 of the pizza. If you cut a pizza into 5 slices, and you give the same amount to each of 5 friends, each friend will get 1 slice.

And 1/5 is 0.2 in decimal form

If there were multiple pizzas, just multiply 0.2 by the number of pizzas because each friend gets 0.2 of each pizza. (:

And 1/5 is 0.2 in decimal form

If there were multiple pizzas, just multiply 0.2 by the number of pizzas because each friend gets 0.2 of each pizza. (:

If the total is divided equally among 5 people, then the amount each person gets is 1/5th the total.

1/5 = 0.2 (in decimal form)

1/5 = 0.2 (in decimal form)

MIDDLE SCHOOL

Find the GCF of 52 and 84.

Answer:

4

Step-by-step explanation:

The GCF of 52 and 84 is 4.

52 = 2 × 2 × 13

84 = 2 × 2 × 3 × 7

Therefore, GCF = 2 × 2

GCF = 4

HIGH SCHOOL

Which statement is true about the parts of this expression? 7.5y-z/9+50+2y

he constant is 7.5.

The coefficients are 7.5 and -9

The variables are x and y.

the like terms are 7.5y and 2y

First, False b/c 7.5 is not the constant because it multiplies by y ==> 7.5 is a coefficient

Second, False because -z/9, you can understand it as . So, 7.5 and -1/9 are the coefficient, not 7.5 and -9.

Third, False, because z and y suppose to be the variable, not x and y variable.

Last, True because they both have the term y multiplies by a coefficient.

Second, False because -z/9, you can understand it as . So, 7.5 and -1/9 are the coefficient, not 7.5 and -9.

Third, False, because z and y suppose to be the variable, not x and y variable.

Last, True because they both have the term y multiplies by a coefficient.

Answer:

The answer is, the like terms are 7.5y and 2y.

I just got a 100% on my test

MIDDLE SCHOOL

2 fractions equivalent to 1/4

Two fractions equivalent to 1/4 are...

2/8

4/16

6/24

:)

2/8

4/16

6/24

:)

Fractions equivalent to 1/4

2/8

4/16

8/32

100/400

Just take 1/4 and multiply both numbers of your fraction by the same number. Like 1/4 times 2 is 2/8

2/8

4/16

8/32

100/400

Just take 1/4 and multiply both numbers of your fraction by the same number. Like 1/4 times 2 is 2/8

MIDDLE SCHOOL

Convert 165/200 to a decimal setting 1000 as your denominator

165/200= 0.825 This is in the 1000th place

MIDDLE SCHOOL

the floor of a rectangle banquet hall has an area of 3,600 m2. The length is 90m. What is the width of the banquet hall?

Data:

A (area) = 3600 m²

L (lenght) = 90 m

W (width) = ?

Formula:

Solving:

A (area) = 3600 m²

L (lenght) = 90 m

W (width) = ?

Formula:

Solving:

HIGH SCHOOL

Points b, d, and f are midpoints of the sides of triangle ace. Ec= 30 and df =17. Find ac.

The Triangle Midsegment Theorem:

ac = 2df = 34

ac = 2df = 34

Answer:

34 is the answer..........

MIDDLE SCHOOL

How much will Alice pay for carpet that costs $4.50 per square foot? Please show work, as I am trying to take notes for studying. Thank you !

So, she wants to buy 112.5 square feet of carpet.

This is our rule: C=122.5 x 4.5

if carpet costs 4.50 per square foot, you would multiply 122.5 by 4.5 ( which is the same as 4.50)

your final answer would be $551.25

HOPE THIS HELPS!!!

This is our rule: C=122.5 x 4.5

if carpet costs 4.50 per square foot, you would multiply 122.5 by 4.5 ( which is the same as 4.50)

your final answer would be $551.25

HOPE THIS HELPS!!!