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3 years ago

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

2 answers:

8 0

$the\ sum\ of\ angle\ measures\ is\ 2700^0\\\\(n-2)\cdot180^0=2700^0\\n-the\ number\ of\ the\ sides\ of\ the\ polygon\\\\n-2= \frac{2700}{180} \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\\\\Ans.\ 17\ sides\ of\ the\ polygon.$

ss7ja [257]3 years ago

6 0

The number of angles equal the number of sides

The number of angles calculate: (n-2)x180°

(n-2)x180°=2700° |divide both sides by 180°

n-2=15 |add 2 to both siedes

n=13

Answer: 13 sides.

You might be interested in

Which box shows a relationship where the constant of proportionality is 64?

Sever21 [200]

Answer:

Step-by-step explanation:

Constant of proportionality = $\frac{y}{x}$

Let's find out which if the boxes will give us 64 as constant of proportionality.

A. $\frac{y}{x} = \frac{11}{2} = 5.5$ ≠ 64

B. $\frac{y}{x} = \frac{5}{15} = \frac{1}{3}$ ≠ 64

C. $\frac{y}{x} = \frac{16}{\frac{1}{4}} = 16*\frac{4}{1} = 64$ ≠ 64

D. $\frac{y}{x} = \frac{\frac{3}{7}}{3} = \frac{3}{7}*\frac{1}{3} = \frac{1}{7}$ ≠ 64

E. $\frac{y}{x} = \frac{2}{-10} = -\frac{1}{5}$ ≠ 64

F. $\frac{y}{x} = \frac{21}{6} = \frac{7}{2}$ ≠ 64

G. $\frac{y}{x} = \frac{4}{8} = \frac{1}{2}$ ≠ 64

From the boxes given, box C is the only box that shows us a relationship where the constant of proportionality is 64.

7 0

3 years ago

At the grocery store, apples are one price and chocolate bars are another. mary buys three apples and one chocolate bar for $2.7

mafiozo [28]

Answer:

Step-by-step explanation:

Step 1 is to collect the information in a table format. The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.

.I use A for the price of one apple and C for the price of 1 chocolate bar. We know how many of each are purchased by both Mary and Bill, and the total each paid.

The last column (6) shows the price for each, which comes from the derivation presented below.

We can set the information in columns 1 - 3 into equations:

Mary: 3A+1C = 2.70 [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]

Bill: 1A + 4C = 6.40 [In the same fashion, this summarizes how Bill parted with his $6.40]

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Now let's rearrange either equation to solve for C. I'll use Mary's equation:

3A+1C = 2.70

1C = 2.70 - 3A

This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples. Interesting, but we need the price of a chocolate bar to determine an exact amount.

----

Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar <u>C</u> = (2.70-3A).

1A + 4<u>C</u> = 6.40

1A + 4(2.70 - 3A) = 6.40

1A + 10.80 - 12A = 6.40

-11A = -4.40

A = 0.40 This is the price for 1 apple. This is the value in the last column (6) of attached Table1.

---

Now we can use the value of $0.40 in either equation to find the price of a chocolate bar. I'll use the rearranged equation we developed for Mary:

1C = 2.70 - 3A

1C = 2.70 - 3(0.40) [A = 0.40 from the above work]

1C = 2.70 - 1.20

1C = 1.50

The price of 1 chocolate bar is $1.50. Pricey, and bad for health. But very tasty.

Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem. So our prices must be correct.

3 0

2 years ago

Multiple solving items

Harrizon [31]

Yea this how is done

6 0

3 years ago

Using Parallel Lines Find m 1 and m 2. Explain your reasoning.

Molodets [167]

i don't know if there is a graph for this problem, but m1 should always equal m2

if m1 and m2 are parallel, one line that is perpendicular to m1 is always perpendicular to m2, and the slopes of m1 and m2 are equal and their lines should never intersect

8 0

4 years ago

(02.04 LC)

Georgia [21]

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

7 0

2 years ago