Ask question

Ask question

All categories

4 years ago

13

What is the area of the regular polygon?

1 answer:

kherson [118]4 years ago

5 0

Answer:

Step-by-step explanation:

A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). To find the area of a regular polygon, you use an apothem — a segment that joins the polygon's center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).

You might be interested in

Help me please !! i need the answer

madam [21]

Answer:

$PQ=22\\\\QR=7\\\\PR=29$

Step-by-step explanation:

To find the value of y, you can create an equation where two parts of the line are equal to the whole line:

$PQ+QR=PR$

Substitute given values:

$(8y+6)+(y+5)=(19y-9)$

Solve for y. Simplify parentheses:

$8y+6+y+5=19y-9$

Combine like terms to simplify the equation:

$8y+y+6+5=19y-9\\\\9y+11=19y-9$

Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:

$9y+11+9=19y-9+9\\\\9y+20=19y$

Subtract 9y from both sides:

$9y-9y+20=19y-9y\\\\20=10y$

Isolate the variable. Divide both sides by 10:

$\frac{20}{10} =\frac{10y}{10} \\\\y=2$

The value of y is 2. Insert this value into each line segment value and solve:

$PQ=8(2)+6\\\\PQ=16+6\\\\PQ=22$

$QR=(2)+5\\\\QR=7$

$PR=19(2)-9\\\\PR=38-9\\\\PR=29$

:Done

You can check by using:

$PQ+QR=PR\\\\22+7=29$

This statement is true, so the values are correct.

7 0

3 years ago

Please help me with this math

victus00 [196]

Answer:

5

Step-by-step explanation:

These two angles are equal to each other

set the formulas equal to each other and solve

5 0

4 years ago

An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.

____ [38]

A)

Earlier, The length of the angelfish = $1 \frac{1}{2}$ inches

Now, the length of angelfish = $2 \frac{1}{3}$ inches

We have to determine the grown length of angelfish

= $2 \frac{1}{3}$ - $1 \frac{1}{2}$

= $\frac{7}{3}- \frac{3}{2}$

LCM of '2' and '3' is '6',

= $\frac{14-9}{6}$

= $\frac{5}{6}$ inch

Therefore, the angelfish has grown by $\frac{5}{6}$ inch.

B)

We have to determine the increased length of angelfish in feet.

Since $1 inch = \frac{1}{12}$ foot

So, $\frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}$

= 0.069 foot.

7 0

3 years ago

Read 2 more answers

Which of the following is not an equation

kompoz [17]

X - 4 is not an equation because it does not have an equal sign.

8 0

4 years ago

Paul works for a company that deals in paints and dyes. He is paid a fixed monthly salary plus 15 percent commission on monthly

Artemon [7]

If x is the sales amount over $20,000, the function g(x) giving Paul's commission is <span>0.15x</span>

4 0

4 years ago