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3 years ago

Find the measure of each exterior angle of a regular 56-gin

1 answer:

Studentka2010 [4]3 years ago

3 0

The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
360/56=x
The simplified fraction is 45/7

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What is the factor 5k2 - 35k3.

anyanavicka [17]

Answer:

the factored form is -5x^2(7x-1)

3 0

3 years ago

An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to re

damaskus [11]

The inequality begins with the flat fee of $25. We then add the $13 per day for insurance as 13d, where d is the number of days. This gives us the expression
25 + 13d. Since he only has $121, we must use less than or equal to for our inequality; he can't spend any more than $121, but he can spend any number below it up to that number. This gives us
25 + 13d ≤ 121

8 0

3 years ago

If there are 10 values in a data set, in order from smallest to largest, what is

8090 [49]

Answer:

If you meant median, the median would be the data in the middle.

Step-by-step explanation:

In this case, 1-2-3-4-5 (here) 6-7-8-9-10

5.5 would be in the middle because there is an even amount of numbers.

8 0

2 years ago

Read 2 more answers

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term

Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = $a_{2}$ - $a_{1}$ = $a_{3}$ - $a_{2}$

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

$a_{n}$ = $a_{1}$ + (n - 1)d

$a_{1}$ = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

$a_{8}$ = 4 + (7 × 5) = 4 + 35 = 39

4 0

3 years ago

Please help me. I'm stupid.

Gwar [14]

Answer:

$\displaystyle 36\:units$

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100$

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:

$\displaystyle 2[10] + 2[8] = 20 + 16 = 36$

I am joyous to assist you anytime.

3 0

3 years ago