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Vera_Pavlovna [14]
2 years ago
7

If the figure is a regular polygon find the value of x

Mathematics
1 answer:
Darya [45]2 years ago
8 0

Answer:

x = 21

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800°

Each of the 12 interior angles = 1800° ÷ 12 = 150

Then

7x + 3 = 150 ( subtract 3 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

You might be interested in
6x - Sy- 5x + 3y<br>hhhjhhhh<br><br><br>​
Alona [7]

Answer: combine like terms 11x+8y

Step-by-step explanation:

6xand 5x is 11x and 5y and 3y is 8 y or distribute and get it hope this helps

3 0
2 years ago
Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180. This year, each of them received a pay inc
iragen [17]

Answer:

$87.5  more did Alex earn in one month than Ben

Step-by-step explanation:

As given

Last year Alex earned a monthly salary of $250,and Ben earned monthly salary of $180.

This year, each of them received a pay increase of 25% .

25% is written in the decimal form.

= \frac{25}{100}

= 0.25

Increase in the Alex salary this year = 0.25 × Last year salary

                                                             = 0.25 × 250

                                                             = $62.5

Total amount of Alex salary this year for one month = Last year salary + Increase in the Alex salary this year

                                                                                      = 250 + 62.5

                                                                                      = $ 312.5

Thus the salary earn by the Alex this year for a month be $312.5.

Increase in the Ben salary this year = 0.25 × Last year salary

                                                             = 0.25 × 180

                                                             = $45

Total amount of Ben salary this year for one month = Last year salary + Increase in the Ben salary this year

                                                                                      = 180 + 45

                                                                                      = $ 225

Thus the salary earn by the Alex this year for a month be $ 225 .

Amount Alex earn in one month than Ben = Total amount of Alex salary this year for one month  - Total amount of Ben salary this year for one month

Putting the values in the above

                                                                    = $ 312.5 - $225

                                                                    = $ 87.5

Therefore $87.5  more did Alex earn in one month than Ben .

7 0
3 years ago
Eight times a number plus five times another number is -13 the sum of the two numbers is 1 what are these numbers
m_a_m_a [10]

The two numbers are -6 and 7

<em><u>Solution:</u></em>

Given that eight times a number plus five times another number is -13

The sum of two numbers is 1

To find: the two numbers

Let the two numbers be "a" and "b"

From given information,

Eight times a number plus five times another number = -13

eight times a number "a" + five times another number "b" = -13

8a + 5b = -13 ---- eqn 1

Also given that sum of two numbers is 1

sum of two numbers = 1

a + b = 1 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

From eqn 2,

a = 1 - b ----- eqn 3

Substitute eqn 3 in eqn 1

8(1 - b) + 5b = -13

8 - 8b + 5b = -13

8 - 3b = -13

-3b = -13 - 8

-3b = -21

<h3>b = 7</h3>

Substitute b = 7 in eqn 3

a = 1 - 7

<h3>a = -6</h3>

Thus the two numbers are -6 and 7

4 0
3 years ago
$17,818 is invested, part at 11% and the rest at 6%. If the interest earned from the amount invested at 11% exceeds the interest
erma4kov [3.2K]

Answer:We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.

8 0
3 years ago
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
stich3 [128]
5,280/40=132.
Jackrabbits can go up to 132 feet per seconds.

Hope this helps!
5 0
2 years ago
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