All categories

3 years ago

the sum of the measures of the central angles of a circle is 360°. Find the measures of each angle labeled x.

Mathematics

1 answer:

9966 [12]3 years ago

4 0

You would want to add all of the angles together to find the sum. Set this equal to 360.

2x-9 + 2x-9 + x + x + x = 360

Combine like terms,

7x-18 = 360

Add 18 to both sides,

7x = 378

Divvied both sides by 7,

x = 54

You might be interested in

Alex is practicing his dives at a pool. He dives from the diving board that is 15 feet above the surface of water. His dive take

Mashcka [7]

Answer:

Alex is wrong in calculating his dive distance.

Actual distance of his Dive is 30 feet.

Step-by-step explanation:

Given:

Distance from where he dive from = 15 feet

Distance he reached after dive = 15 feet

Also Given:

Alex says that the two distances are opposites,

Also Total distance of dive according to Alex = 15 +-15 =0 feet

Solution:

Now we know that;

The diving board is 15 feet above the water level, and then he reached 15 deep in the water, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.

So the two distances are in the same direction.

From above scenario we can say that

Total Distance of dive will be = 15 +15 =30 feet.

Hence We can say that Alex is wrong in calculating his dive distance. Actual Dive distance is 30 feet.

3 0

3 years ago

Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square

aniked [119]

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

<h3>What is the volume of a rectangular prism?</h3>

It is given by the multiplication of the base area by the height, that is:

$V = S_bh$

In this problem, we have that the measures in square inches and inches, respectively, are given by:

$S_b = 400, h = 17$

Hence:

$V = 400 \times 17 = 6800$

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

3 0

2 years ago

Think I know but need some help. can an expert help

xeze [42]

$69.64 I THINK IS HOW MUCH SHE WILL HAVE TO PAY.

HOPE THIS HELPS

4 0

3 years ago

Victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that vict

scoray [572]

Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. $13.66=\frac{13.66}{100}=0.1366$

Upon substituting our given values in compound interest formula we will get,

$A=1,349.34(1+\frac{0.1366}{12})^{12*1$

$A=1,349.34(1+0.011383333)^{12$

$A=1.349.34(1.011383333)$

$A=1,349.34*1.145485275522$

$A=1,545.64910167397$ ≈ $ $1545.65$

Therefore, Victor will owe an amount of $1545.65 after one year.

3 0

2 years ago

The number 18 is which % of 15

Anuta_ua [19.1K]

It would be: 18/15 * 100 = 1800/15 = 120%

3 0

3 years ago