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3 years ago

Find the measure of ∠P

Mathematics

2 answers:

finlep [7]3 years ago

7 0

Answer:

To find the third angle of a triangle you can remember that ALL triangles angles add up to 180 degrees, ALWAYS

Step-by-step explanation:

Elenna [48]3 years ago

6 0

To find the third angle of a triangle you can remember that ALL triangles angles add up to 180 degrees, ALWAYS

So that means that p + r + q = 180

r + q = 95

67 + 28 = 95

So 95 + p = 180

We can subtract 95 from 180 to find what’s left so 180 - 95 = 85

The correct answer would be that the measure of angle p = 85 degrees

Because 28 + 67 + 95 = 180

I hope this helps! Dont forget to thank my answer and mark it as the brainliest if it was the most helpful! <3

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Write the equation of a line that is perpendicular to the given line and that passes through the given point.

katrin2010 [14]

Greetings and Happy Holidays!

<span>1) Perpendicular to </span> $-x+5y=14$
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and $\frac{-1}{5}$

First, rearrange the equation into slope y-intercept form:
$-x+5y=14$

$5y=x+14$

$\frac{5y}{5}=\frac{x+14}{5}$

$y=\frac{1}{5}x+\frac{14}{5}$

The slope of the equation is: \frac{1}{5}

The negative reciprocal formula: $(m_{1})(m_{2})=-1$

Solve for the negative reciprocal:
$\frac{1}{5}m_{2}=-1$

Divide both sides by $\frac{1}{5}$
$\frac{\frac{1}{5}m_{2} }{ \frac{1}{5}} = \frac{-1}{ \frac{1}{5}}$

$m_{2}=(-1)(\frac{5}{1})$

$m_{2}=(\frac{-5}{1})$

$m_{2}=-5$

The slope of the new line is: -5

2) Passes through (-5,-2)

Create an equation with the slope discovered in slope y-intercept form.
$y=-5x+b$

Input the point the line passes through.
$(-2)=-5(-5)+b$

Solve for b (the y-intercept).
$-2=-5(-5)+b$

Multiply.
$-2=25+b$

Add -25 to both sides.
$(-2)+(-25)=b$

$-27=b$

The y-intercept is equal to -27

The Equation of the line is:
$y=-5x-27$

I hope this helped!
-Benjamin

6 0

4 years ago

There were three quizzes for the week. The first quiz was worth twice as much as the second quiz. The third quiz was 10 points l

iren2701 [21]

X+y+z=70
x=2y
z=2y-10

6 0

3 years ago

You roll a number cube two times. How many outcomes are possible? Please explain work.

MArishka [77]

Answer:

there will be about less times than the cube earns!

Step-by-step explanation:

6 0

4 years ago

Nathan is going to a water park today. He knows that the cost of admission is at least $12 per person. If c stands for the cost

mash [69]

C $\geq$ $12

If the cost c is at least $12 then it could be equal to 12, or could also be a cost greater than $12. So, c is greater than or equal to 12, expressed as <span>c $\geq$ $12</span>

8 0

3 years ago

The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag

VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a p-value of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{2050}{\sqrt{49}} = 574$

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0

3 years ago