MATHEMATICS HIGH SCHOOL

The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number of sides 24

Answers

Answer 1

Answer:

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

Let us revise some facts in a polygon

The sum of the exterior angles of any polygon is 360°

At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
A regular polygon has equal angles and equal sides

In our question

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

Related Questions

A group of biologists found a total of 28 loggerhead turtle nests along a beach during a certain season. This was 40% of the total number of turtle nests the group found during that season. What was the total number of turtle nests the group found during that season?70
85
110
143

Answers

First divide 28 by 40 to get the unit rate which is 0.7. Then, since that is 1% mulitiply 0.7 times 100 to get 70 turtles as your answer. hope that helped!

28=.4x
70=x
They found 70

What is the simplified expression for the expression below?-1(2x + 3) - 2(x - 1)

() 4x + 1

() 4x2

() 4x + 2

() 4% = 1

Answers

first answer: -4x-1

.............

Answer:

-4×-1

Step-by-step explanation:

What fraction added to 3/8 gives you the sum of 1

Answers

5/8 is the fraction that if added to 3/8 gives you the sum of 1 whole

Ii dont understand how to solve a system of linear equations using the substitution method

Answers

so 8x-7y=-7
-16+12x=14
you can simplify the sceon equation
-8+6x=7
add 8 to both sides
6x=15
divide by 6
x=15/6
subssitute
8(15/6)-7y=-7
120/6-7y=-7
20-7y=-7
subtract 20
-7y=-27
divide by -7
y=27/7

x=15/6
y=27/7

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

Which economic indicator measures the change in prices of specific goods and services over time? A. Price change rate
B. Consumer price schedule
C. Consumer price index

Answers

A. Consumer price index measures the change in prices of specific good and services over time. The consumer price index (CPI) is an estimate of prices that are collected periodically that represent the item/goods. CPI is based on the overall cost of a fixed basket of goods a typical costumer would buy rather then the same basket in the year.

Answer:

For Plato the answer is C Consumer Price Index

Step-by-step explanation:

A. Price Change Rate

B. Consumer Price Schedule

C. Consumer Price Index - correct on Plato

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9.45 x 10^-5 In standard form

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Plssssssss help me -6(3-3a)-8(6a+5)=32