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2 years ago

This is a polygon. I can’t find the missing angle ?

Mathematics

1 answer:

siniylev [52]2 years ago

3 0

This is a lot of calculation.

So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.

Now you just add up all angles and simplify the equation:

900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)

900 = <span>25x + 225

Now it's just regular algebra equation. You can solve for x:

675 = 25x

x = </span>27

So the value of x is 27

You might be interested in

Simplify each expression 4.4x + 6- 2y + 4

allochka39001 [22]

Answer:

4.4x−2y+10

Step-by-step explanation:

7 0

2 years ago

Mr.Ramirez had $600. He saved 3/5 and spent 3/8 of the remainder

Alex73 [517]

Answer:

$450

Step-by-step explanation:

Given function:

$600,3/5,3/8

To solve:

$600-3/5-3/8+3/5

Subtract the two terms:

$600=\frac{30}{5}$
$600$ · $\frac{3}{5}=360$

Subtract the first value by 360:

$600-360=240$

Find 3/8 of 240 and then subtract it:

$240$ · $\frac{3}{8}=90$

Combine the terms:

$360+90=450$

Therefore, Mr.Raminrez now have a total of $450..

5 0

2 years ago

Mary Hernandez had a policy with a $500 deductible which paid 80% of her covered charges less deductible. She had medical expens

12345 [234]

A.) The insurance company's payment is 80% of the total minus the $500 deductible, so:
(10000 - 500) * .8 = 7600

B.) To find the Copay, you do almost the same thing:
(10000 - 500) * .2 = 1900

C.) Mary's Total Cost: 1900 + 500 = 2400.00

4 0

2 years ago

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too

k0ka [10]

Answer:

There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)

Step-by-step explanation:

$\bar{X} = 2072\\\mu = 2058\\sample size, n = 6\\\alpha = 0.01\\Standard deviation, s = 27$

The null hypothesis, $H_o: \mu = 2058$

Alternative hypothesis, $H_{a}: \mu > 2058$

Test statistic is calculated as follows:

$Z_{test} = \frac{\bar{X} - \mu}{s/\sqrt{n} } \\Z_{test} = \frac{2072 - 2058}{27/\sqrt{6} } \\Z_{test} =1.27$

Find the P-value

P(z > 1.27) = 1 - P(z < 1.27)

P(z > 1.27) = 1 - 0.898

P(z > 1.27) = 0.102

Significance level, α = 0.01

Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.

8 0

2 years ago

lidiya [134]

Answer:

x = 73.8

Step-by-step explanation:

to find the blue line:

tan(50) = 41/a

a = 41/tan(50)

a = 34.4 to 1 decimal place

to find x:

tan(65) = x/34.4

x = 34.4tan(65)

x = 73.8 to 1 decimal place

8 0

2 years ago