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2 years ago

What is the measure of ZB of the pentagon?

Mathematics

1 answer:

Anastaziya [24]2 years ago

8 0

Answer:

111°

Step-by-step explanation:

The sun of interior angles in a pentagon is 540° so to find the measure of B we gotta add all given measure up then subtract it from 540

150° + 98° + 89° + 92° + B = 540° ➡ B = 111°

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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.

ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8)

(-8, -9)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)$

$m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}$

$m=\frac{1}{4}$

We know that the slope-intercept of line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y = 1/4x + (-7)

y = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y = 1/4x - 7

6 0

2 years ago

What is 44 dvided into 2 groups with a ratio of 4/7

zalisa [80]

Total units would be: 4+7 = 11

value of 1 unit = 44/11 = 4

Ratio would be: 4(4) & 7(4) = 16 & 28

4 0

3 years ago

PART1

Mice21 [21]

Part 1: $\frac{5x^{3} + 10x^{2} + 15x}{5x} = \frac{5x^{3}}{5x} + \frac{10x^{2}}{5x} + \frac{15x}{5x} = x^{2} + 2x + 3$
The answer is C.

Part 2: $\frac{3x^{4} + 5x^{2} + 2x}{x} = \frac{3x^{4}}{x} + \frac{5x^{2}}{x} + \frac{2x}{x} = 3x^{3} + 5x + 2$
The answer is A.

8 0

3 years ago

The following are quiz scores: 85, 88, 89, 96, 91, 77, 79, 98, 86, 99. What is the standard deviation of the given test scores?

ArbitrLikvidat [17]

Answer:

7.1

Step-by-step explanation:

- Find mean

- For each number you subtract the mean and square the result.

- Work out the mean of those squared differences and find square root of that.

- Hope that helped! Let me know if you need further explanation.

5 0

2 years ago

Mia cut a piece of felt into 3 equal

morpeh [17]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.

4 0

2 years ago