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3 years ago

The measure of an exterior angle of a regular octagon is x + 10. Find x.

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

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Solve for x. 3x+2 = 8x-1

Flauer [41]

So, your problem is ((3x+2))/4) = ((8x-1)/5)?

If so, X= 14/17

6 0

4 years ago

Heather deposits $7000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in

german

Answer:

year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $7000.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:

The interest is: $420.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 7000.00 + 420.00 = 7420.00. For example:

If you borrowed the $7000.00, you would now owe $7420.00

If you loaned someone $7000.00, you would now be due $7420.00

If owned something, like a $7000.00 bond, it would be worth $7420.00 now.

3 0

3 years ago

Read 2 more answers

A desk manufacturer claims that the average time it takes to assemble a desk is 90 minutes with a standard deviation of 32 minut

stealth61 [152]

Answer:

The standard deviation of the sample mean is 4 minutes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The standard deviation of the population is 32.

Sample of 64.

$s = \frac{32}{\sqrt{64}} = 4$

The standard deviation of the sample mean is 4 minutes

6 0

3 years ago

Eli claims that the product of and is . Which explains whether Eli is correct?

Shalnov [3]

Answer: last option.

Step-by-step explanation:

According to the Product of powers property, you have:

$a^n*a^m=a^{(n+m)}$

As you can see, when you can add the exponents when you have powers with equal base.

Then, $6^5$ and $5^{-3}$ do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

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4 years ago

HELP ITS IMPORTANT PLZZZ

Sliva [168]

for the table part, for the first column put all the information in the correct area (like put the price of the Reuben next to the Rueben section. Then just subtract them all by $20 (give brainliest if others answer)

8 0

3 years ago