All categories

1 year ago

How do I find the value of x?

Mathematics

1 answer:

garik1379 [7]1 year ago

8 0

Answer: x = 15

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

sum of angles = (n - 2) × 180

sum of angles = (7 - 2) × 180

sum of angles = 5 × 180

sum of angles = 900°

Now to find the value of x, we have to set each of the interior angles, added up, equal to 900°:

7x + 1 + 10x + 6x + 7 + 10x - 9 + 9x + 4 + 8x + 10 + 9x + 2 = 900

Combine like terms:

(7x + 10x + 6x + 10x + 9x + 8x + 9x) + (1 + 7 - 9 + 4 + 10 + 2) = 900

59x + 15 = 900

59x + 15 - 15 = 900 - 15 subtract 15 from both sides

59x = 885

59x/59 = 885/59 divide by 59 on both sides

x = 15

You might be interested in

ASAP HELP FOR QUESTION 4 ASAP

galina1969 [7]

Answer:

convert 17 meters into feet and then write it down to teh nearest 10thof a foot

Step-by-step explanation:

6 0

2 years ago

Simplify the following

postnew [5]

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>

$\sqrt{ \frac{x}{y} } < = > \frac{ \sqrt{x} }{ \sqrt{y} } \\ and \: \\ \sqrt{x} \times \sqrt{y} = \sqrt{xy}$
PEMDAS

let's solve:

$a) \sqrt{ \frac{9}{25} }$

$\frac{ \sqrt{9} }{ \sqrt{25} }$

$\frac{3}{5}$

$b) \frac{ \sqrt{12} }{ \sqrt{3} }$

$\frac{ \sqrt{12} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

$\frac{ \sqrt{12 \times 3} }{ (\sqrt{3} )^{2} }$

$\frac{ \sqrt{36} }{3}$

$\frac{6}{3}$

$2$

$c) \frac{ \sqrt{15} }{ \sqrt{3} }$

$\sqrt{5}$

6 0

2 years ago

Can somone help me please!!!

Doss [256]

Answer:

7. D. 130² ft.

8. She can feed 6 friends.

9. There are 7 trees in each row.

10. B. 490.

5 0

2 years ago

(II) Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the st

Reil [10]

Answer:

(a) 36.36%

(b) 0.36%

Step-by-step explanation:

Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.

We want to know what is the percent uncertainty of a hand-timed measurement of:

(a) 5.5 s

Percentage = (0.2/5.5) × 100

≈ 36.36%

(b) 55 s

Percentage = (0.2/55)×100

≈ 0.36%

5.5 min = 5.5 × 60 s

= 330 s

Percentage = (0.2/330)×100

≈ 0.06%

5 0

2 years ago

The width of a plastic storage bin is 4ft longer than the height. The length is 6ft longer than the height. The volume is 96 cub

Talja [164]

Answer:

the length is 4 ft longer than the height

Step-by-step explanation:

5 0

2 years ago

How do I find the value of x?​

How do I find the value of x?