All categories

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

You might be interested in

Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )

yanalaym [24]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

6 0

2 years ago

The area of the rectangle shown is 200 square units. Find the value of x?

Stels [109]

Answer:

x=40

Step-by-step explanation:

8(1/2x + 5) = 200

4x + 40 = 200

4x = 160

x = 40

6 0

3 years ago

Read 2 more answers

find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

2 years ago

What is the cost of buying 10 tickets? what is the unit rate?

Pepsi [2]

Answer:

This depends on the price of how much the tickets cost in total so if the 10 tickets cost $10 dollars then the unit price would be $1

Step-by-step explanation:

You need to divide the total number by the number 10 and then that would be your unit price.

4 0

2 years ago

PLZ HELP ASAP!!!!!!!

Alexxx [7]

Answer:

angle 1 and angle 2 are supplementary angles

Step-by-step explanation:

When the base of the angles forms a straight line, the sum of the angles is 180°. That's the definition of supplementary angles.

Complementary angles form a right angle. The sum of complementary angles is 90°

A slightly silly way to remember Complementary angles: The two angles look at each other and compliment each other saying, "You look all right to me!"

"Yes, we are so right together!"

:)

6 0

3 years ago