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3 years ago

What is the value of x?

Mathematics

1 answer:

Rudik [331]3 years ago

4 0

Answer:

Step-by-step explanation:

x - 9 = 1/2(x + 37) according to inscribed angles theorem

2x - 18 = x + 37

x = 55

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HELPPPPP

soldi70 [24.7K]

x=50

Step-by-step explanation:

angle 1 and 3 are corresponding angles that menas they equal the same

so set it up like this 2x+10=110 solve for x

move over the 10, subtract 10 from 110 you get 100 and divide by 2

you get 50.

8 0

3 years ago

Read 2 more answers

Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

<em>Hence, the variance is 0.01</em>

5 0

3 years ago

Find the distance between the pair of points and then round your answer to the nearest tenth.

Travka [436]

Answer:

$d = 9.4 units$ (nearest tenth)

Step-by-step explanation:

Given the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , distance between (-4, 5) and (4, 0) is calculated as follows:

Let $(-4, 5) = (x_1, y_1)$

$(4, 0) = (x_2, y_2)$

$d = \sqrt{(4 - (-4))^2 + (0 - 5)^2}$

$d = \sqrt{(8)^2 + (- 5)^2}$

$d = \sqrt{64 + 25}$

$d = \sqrt{89}$

$d = 9.4 units$ (nearest tenth)

3 0

3 years ago

How do you solve this problem<br> (2x+8)2=64

asambeis [7]

Answer:

Step-by-step explanation:

If (2x+8)2 = 64, then I would solve it by making sure the numbers in the parentheses equal 32. This is because it would get multiplied by 2 after you find the answer and 32 x 2 is 64. So what times 2 is 24? 12. 12 x 2 is 24, plus 8 is 32, and multiply 32 by 2 and you get 64 :) I'm not the best at explaining btw ;-;

7 0

3 years ago

Read 2 more answers

GEOMETRY- FIND POLYGON AREA

Dvinal [7]

Answer:

Step-by-step explanation:

The area of a regular polygon is

$A=\frac{1}{2}ap$ where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).

p = 3(9) is 27 inches for the perimeter.

We have what we need now to find the area:

$A=\frac{1}{2}(4.1)(27)$ and

$A=\frac{1}{2}( 110.7)$ so

A = 55.35 square inches

5 0

2 years ago