What is the value of the digit 8 in alaska's population

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?

Anestetic [448]

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

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

so

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

so

$\frac{x}{2}=72^o$

therefore

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

7 0

3 years ago

2 = f/8 <br><br><br> f= ? <br> Pleaze helpsz me i will give you robux I promise !!

Ilia_Sergeevich [38]

Answer:

f = 16

Step-by-step explanation:

2 = f/8

Cross Multiplying, we get

f = 16

hope it helps!

8 0

3 years ago

Read 2 more answers

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).