All categories

3 years ago

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?

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

For a polygon with n sides, the interior angles add up to:

(n - 2) x 180

an octagon has 8 sides:

(8 - 2) * 180 = 6 * 180 = 1080

from the question,1 side measures 2x while 7 sides measure x. this means

7x + 2x = 1080

9x = 1080

x = 1080/9

x = 120°

if x=120°

2x=2(120°)=240°

so, the seven smaller angles are 120°. while the one larger angle is 240°

You might be interested in

Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)

svlad2 [7]

This is the answer ^^^^^

3 0

2 years ago

Katrina drinks 0.5 gallons of water per say. Which expression shows how to find the number of cups of water she drinks in a week

skad [1K]

<h2>Answer:</h2><h2>0.5 gallons per day.</h2><h2>Two options only.</h2><h2>First;How many liter does the gallon have use the litre to solve for how many litres.Convert it into one unit divide and multiply the product by 0.5.</h2>

<h2>2nd option; Find the number of cups by representing it in a variable. </h2>

6 0

3 years ago

Three ways to write 3 to the 5th power

cestrela7 [59]

First expression

=> 3 x 3 x 3 x 3 x 3 – In this expression, we multiplied 3 5 times and the product is 243

Second expression

=> 3 ^ 5 , in where ^ read as raised to the power. , the product is also 243

Third expression

=> 3^2 x 3 ^3

=> (3 x 3) x (3 x 3 x 3)

=> 9 x 27, the product is also equals to 243.

7 0

3 years ago

Read 2 more answers

For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's d

kondaur [170]

Answer:

Null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

Step-by-step explanation:

Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent semester, the proportion who earned a bachelor's degree within six years was<u> 0.395. </u>

Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>

So,null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

6 0

3 years ago

Can two box plots have the same range and iqr

Salsk061 [2.6K]

Yes they can! Just because two plots have the same IQR and range, does not mean that the rest of the data has to be the exact same. For example, the median.

6 0

3 years ago