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3 years ago

Find the number of sides of a regular polygon if one interior angle is 120 degrees.

1 answer:

8 0

There are six sides
Because
First, the number of sides and the number of interior angles, both are the same
To find the sum of all internal angles, you use the formula:
(n-2)180=z
where n is the number of sides or internal angles, and z is the angle sum. the letters can be anything
so now, if one interior angle is 120 degrees, then you get the total angle sum by multiplying 120 by n
so just write the equation, and replace z (angle sum) with 120n
(n-2)180=120n
Solve it in any way you like
180n-120n=360
60n=360
n=6
there are six sides and internal angles! This is a hexagon.
FYI, a hexagon's internal angles add up to 120*6=720 degrees

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What is the percentage between 1192.64 and 819.73

Licemer1 [7]

1192.64-819.73 is 372.91

so... if we take 1192.64 to be the 100%, how much is 372.91 in percentage then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1192.64&100\\
372.91&p
\end{array}\implies \cfrac{1192.64}{372.91}=\cfrac{100}{p}\implies p=\cfrac{372.91\cdot 100}{1192.64}$

3 0

3 years ago

Abigail's rectangular flower garden has a width of 4 1/4feet and an area of 12 3/4 square feet.

tresset_1 [31]

Answer:

3 feet long

Step-by-step explanation:

4 1/4x3=12 3/4

6 0

3 years ago

Which of the following is the most profitable investment for a candy shop that earns $1 revenue per pound of candy? (5 points) G

rewona [7]

Then the most profitable investment is the first machine (third option) because for each dollar, it produces 2 pounds of candy.

<h3>Which of the following is the most profitable investment?</h3>

The first option is a worker that costs $10 per hour and produces 8lb, then this worker gives:

8lb/$10= 0.8 pounds per dollar.

The second worker costs $12 per hour, and produces 16lb per hour, so this worker gives:

16lb/$12 = 1.33 pounds per dollar.

The third option is a machine that cost $5 per hour and produces 10lb per hour, then:

10lb/$5 = 2 pound per dollar.

The last option costs $8 per hour, and produces 14 pounds per hour, then:

14lb/$8 = 1.75 pounds per dollar.

Then the most profitable investment is the first machine (third option) because for each dollar, it produces 2 pounds of candy.

If you want to learn more about profit:

brainly.com/question/23103804

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3 0

2 years ago

The first two terms of a sequence are 5 and 7. Each term after the second is found by taking the average (arithmetic mean) of al

ch4aika [34]

Answer:

Step-by-step explanation:

We can prove that every number after the second will be a six by induction.

Base case. Since $\frac{5 + 7}{2} = 6$ , so the third term is a six.

Inductive hypothesis. Fix the number of terms to be n and assume that

$\frac{1}{n} \sum\limits_{i=1}^{n}t_i = 6$

Inductive step. We will now show that $\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i = 6$ .

Notice that

$\begin{array}{lll}\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i & = \frac{n}{n(n+1)} \sum\limits_{i=1}^{n+1}t_i & \\& = \frac{t_{n+1}}{n+1} + \frac{n}{n(n+1)} \sum\limits_{i=1}^{n}t_i &\\& = \frac{t_{n+1}}{n+1} + \frac{6n}{n+1} & \text{(by the IH)}\\& = \frac{6}{n+1} + \frac{6n}{n+1} & \text{by de\\finition}\\& = \frac{6(n+1)}{n+1} & \\& = 6 & \end{array} \square$

6 0

3 years ago

Which angle pairs are supplementary? Check all that apply.

Greeley [361]

Answer:

4 and 3, 4 and 5, 3 and 6

Step-by-step explanation:

Those angles make 180 degrees.

3 0

3 years ago

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