MATHEMATICS MIDDLE SCHOOL

The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?pls help the answer is (not 77 degrees and 144 degrees)

Answers

Answer 1

Answer:

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$(x)/(2)+7x=1,080$

solve for x

$(15x)/(2)=1,080\n\n15x=2,160\n\nx=144^o$

$(x)/(2)=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

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How do I find the side length so I can figure out the area?

Answers

Answer:

You can form an equilateral triangle with those two lines.

The side length is 8√(3)

20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER! The figures in (a) and (b) below are made up of semicircles and quarter circles; The figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.

Answers

Answer:

brainly.com/question/8182874

Step-by-step explanation:

Answer:

Area: 5π/2 in²

Perimeter: (3π+2) in

step-by-step explanation:

Area =

larger semicircle + small semicircle

= ½(pi × r1²) + ½(pi × r2²)

r1 = 2 in

r2 = 2/2 = 1 in

Area:

½(pi × 2²) + ½(pi × 1²)

= 2pi + ½pi

= 5pi/2 in²

Perimeter:

½(2pi × r1) + ½(2pi × r2) + r1

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H 24 inches The volume of a cylinder can be found by using the formula v Bh. Which expression can be used to determine B, the area of the base of this hatbox in square inches? (24) H 82.12 J 122.8

Answers

The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.

I hope this helps.

What is 27/32 divided by 7/8

Answers

A division is a process of splitting a specific amount into equal parts. 27/28 is the answer for 27/32 divided by 7/8.

What is Division?

A division is a process of splitting a specific amount into equal parts.

we need to calculate the value of 27/32 divided by 7/8.

twenty seven by thirty two divided by seven by eight.

Here the two numbers are fractions. One fraction is divided by other fraction.

(27/32)/(7/8)

The division turns to multiplication when denominator fraction is taken to numerator.

27/32 × 8/7

twenty seven by thirty two times of eight by seven.

27/4 × 1/7

When 27/4 is multiplied with 1/7

We get 27/28.

Hence 27/28 is the answer for 27/32 divided by 7/8.

To learn more on Division click:

brainly.com/question/1575906

#SPJ2

the answer in exact form is 27/28 but in decimal form it is 0.96

jonah wrote a 5 digit number on a piece of paper, the 4 is in the place that is ten times greater than the place where the 2 is

Answers

Your answer Will Be 245

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Answers

72 hamburgers is the least amount that you need to buy so that no hamburgers are leftover.
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