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3 years ago

How many degrees are in each interior angle of a regular pentagon? 50 72 108 120

Mathematics

2 answers:

Sindrei [870]3 years ago

6 0

The answer 108 degrees.

snow_tiger [21]3 years ago

5 0

Answer: $108^{\circ}$

Step-by-step explanation:

The sum of all the angles in a regular polygon with sides n , is given by :-

$S_n=180^{\circ}(n-2)$

Now, the sum of all the angles in a regular pentagon with 5 sides will be :-

$S_5=180^{\circ}(5-2)=180^{\circ}(3)=540^{\circ}$

We know that all the interior angles of a regular polygon are equal .

Therefore, the measure of each interior angle in a pentagon is given by :-

$x=\dfrac{540^{\circ}}{5}=108^{\circ}$

Hence, the measure of each interior angle in a pentagon= $108^{\circ}$

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

sdas [7]

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

8 0

3 years ago

Please help me with 1,2,3 and show me how you get it the answers and how you get it do not send me link please I need help someo

elena-s [515]

Answer:

1) 20 cm

2) 22.4 in

3) 15 ft

Step-by-step explanation:

For this question, you have to use the Pythagorean theorem.

Why?

Well, because it is a right triangle and you have 2 sides given and you want to find the third side.

Now let's solve this problem!

For number 1 we have:

a = 16 cm and B = 12 cm

you need to find the 3rd side which is c (aka the hypothenuse)

so let's write the equation:

a^2 + b^2 = c^2

Then we substitute with what we have given.

16^2 + 12^2 = c^2

Using a calculator solve the equation

400 = c^2

Now we have to find the square root from both sides of the equation.

c = 20 cm (That's the final answer)

For number 2 we have:

a = 10 in and b = 20 in

we follow the same steps as in number 1

a^2 + b^2 = c^2

10^2 + 20^2 = c^2

500 = c^2

c = 22.4 in (That's the final answer)

For number 3 we have:

a = 9 ft and b = 12 ft

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

225 = c^2

c = 15 ft (That's the final answer)

8 0

3 years ago

Which transformations can be used to show that circle P is similar to circle Q?

12345 [234]

Circle Q is a translation of circle P, 6 units up and Circle Q is a dilation of circle P with a scale factor of 7 are both correct answers.

Similar figures can result when a figure is translated (moved or slid) to a different position or when it remains the same shape but in a different size (dilation).

5 0

3 years ago

Read 2 more answers

Solve for x and y in the figure below

Len [333]

Step-by-step explanation:

All the sides of the triangle are equal

Therefore, it is a equilateral triangle

and all angles measure 60°.

So, 25x-15= 60

25x = 60+15= 75

x= 75/25

x= 3

2y = 60

y=30

optionA

4 0

3 years ago

A jeweler buys a ring from a jewelry maker for $125. He marks up the price by 135% for sale in his store. What is the selling pr

Elis [28]

Hey there!

First, you would multiply 125*135%= 168.75
Then you would add 125 to 168.75 and you would get 293.75.
Next, you would multiply 293.75*7.5%= 22.03
Finally, add 22.03 to 293.75 and your answer is...

$315.78

8 0

3 years ago