1. What is the slope of the line shown?

Answer:

The measure of the complement =

= 80°

The measure of the supplement=

= 170°

Step-by-step explanation:

Let

90-x equal the degree measure of its complement

180-x equal the degree measure of its supplement.

We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.

Hence, the Equation is;

(180 - x) = 10° + 2(90 - x)

180 - x = 10 + 180 - 2x

Collect like terms

-x + 2x = 10 + 180 - 180

x = 10°

Hence,

The measure of the complement =

90 - x

= 90 - 10

= 80°

The measure of the supplement=

180 - x

= 180 - 10

= 170°

Answer:

$9.38

Step-by-step explanation:

( $1.75 + $8.87 ) = 10.62 (10.62 - $20 ) = $9.38

brainliest please

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

Answer:

The mean and standard devaition of W are 6 and 31 respectively.

Step-by-step explanation:

Given that:

W = 7 + 2X

Variance (W) = Variance(7 + 2X)

For a term constant term, the variance is zero.

So;

[tex]W = Var (2X)[/tex]

W = 4 × Var(X)

W = 4 × (SD (X))²

W = 4 × (3)²

W = 4 × 9

W = 36

Thus, Variance (W) = 36

The standard deviation of W = [tex]\sqrt{variance}[/tex]

W = [tex]\sqrt{36}[/tex]

W = 6

Also;

E(W) = E(7 +2 X)

E(W) = 7 + 2 × E(X)

where;

mean X = 12

E(W) = 7 + 2(12)

E(W) = 31

Thus, the mean and standard devaition of W are 6 and 31 respectively.

The mean and the standard deviation of W are 31 and 6 respectively.

The given parameters are:

[tex]\mathbf{\bar x_x = 12}[/tex]

[tex]\mathbf{\sigma_x = 3}[/tex]

The definition of W is given as:

[tex]\mathbf{W = 7 + 2X}[/tex]

This means that:

[tex]\mathbf{Var(W) = Var(7) + Var(2X)}[/tex]

So, we have:

[tex]\mathbf{Var(W) = 0 + Var(2X)}[/tex] --- the variance of a constant term is 0

[tex]\mathbf{Var(W) = Var(2X)}[/tex]

This gives

[tex]\mathbf{Var(W) = 2^2 \times Var(X)}[/tex]

We have:

[tex]\mathbf{Var(X) = \sigma^2_x}[/tex]

So, the equation becomes

[tex]\mathbf{Var(W) = 2^2 \times \sigma^2_x}[/tex]

[tex]\mathbf{Var(W) = 2^2 \times 3^2}[/tex]

[tex]\mathbf{Var(W) = 36}[/tex]

The standard deviation is then calculated as:

[tex]\mathbf{\sigma_W = \sqrt{Var(W)}}[/tex]

[tex]\mathbf{\sigma_W = \sqrt{36}}[/tex]

[tex]\mathbf{\sigma_W = 6}[/tex]

The mean is then calculated as:

[tex]\mathbf{E(W) = E(7 + 2X)}[/tex]

This gives

[tex]\mathbf{E(W) = 7 + 2E(X)}[/tex]

So, we have:

[tex]\mathbf{E(W) = 7 + 2 \times 12}[/tex]

[tex]\mathbf{E(W) = 31}[/tex]

Hence, the mean and the standard deviation of W are 31 and 6 respectively.

Read more about mean and standard deviation at:

https://brainly.com/question/10729938

Answer:

See Explanation

Step-by-step explanation:

Required

Determine how far he walked in one loop

This question is incomplete, as the playground diagram and dimensions are missing. However, I'll answer on a general terms.

What this question requires is to calculate the perimeter of the playground.

Assume that the playground is rectangular and the dimensions are: 2  meters by 3 meters.

The distance walked will be calculated using the following perimeter formula.

[tex]Distance = 2(2m + 3m)[/tex]

[tex]Distance = 2(5m)[/tex]

[tex]Distance = 10m[/tex]

If it is a square with 5m as the length of one of its side, the distance would be:

[tex]Distance = 4 * 5m[/tex]

[tex]Distance = 20m[/tex]

So basically, all you need to do is calculate the perimeter of the playground.

Answer:

4/7

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

side a and c have to equal 180

Step-by-step explanation:

please talk to me I'm missing u so much

11.  -4, -2, 0, 2 this for y not x,y

12.  4, 0, 2, 1 this for y not x,y

<3

Answer:

7.125

and 5.1

Step-by-step explanation:

Answer:

b. 156

Step-by-step explanation:

A "perfect square" is the product of an integer that is being multiplied by itself.

Choice a, 625, is a perfect square because it is the product of 25 multiplied by itself.

Choice b, 156, is not a perfect square because you cannot find any integer that can be multiplied by itself that will result in 156 as a product. Therefore, this is the correct answer.

Choice c, 196, is a perfect square because it is the product of 14 multiplied by itself.

Answer:

The fraction of its drop height after the fourth bounce is

[tex]\displaystyle \frac{16}{625}[/tex]

Step-by-step explanation:

Let's suppose the rubber ball is dropped from a height H0. Every time the ball bounces back it reaches 8/10 of the initial drop height.

The ball's height H(x) after bounce number x is:

[tex]\displaystyle H(x)=H_o\left(\frac{8}{20}\right)^x[/tex]

Simplifying:

[tex]\displaystyle H(x)=H_o\left(\frac{2}{5}\right)^x[/tex]

After the fourth bounce, the height is:

[tex]\displaystyle H(4)=H_o\left(\frac{2}{5}\right)^4[/tex]

[tex]\displaystyle H(4)=H_o\frac{2^4}{5^4}[/tex]

[tex]\displaystyle H(4)=H_o\frac{16}{625}[/tex]

The fraction of its drop height after the fourth bounce is

[tex]\mathbf{\displaystyle \frac{16}{625}}[/tex]

Answer:

Step-by-step explanation:

Using the information provided we can create two different equations for this system. The first of which would be Fred's overall weight, while the second equation would be Fred's and Barney's combined weight. These equations would be the following...

F = 2B - 40

320 = F + B

As requested I will not solve the system of equations and leave them as they are.

Answer:

Step-by-step explanation:

if the car is 170 inches long

the truck is 85% longer

(170*85)/100=144.50 longer

the truck is 170+144.50=314.50

Answer:

100-85=15

170*0.15=25.5

170-25.5=144.5

170+144.5=314.5 inches

Answer:

linear and positive profit

Step-by-step explanation:

Answer:

it is option 1 :) :) :) :)

Answer:

62

Step-by-step explanation:

Turn the percentage into a decimal.

50% = 0.5

Divide.

31 / 0.5 = 62

Best of Luck!

Answer:

62

Step-by-step explanation:

50% is technically 1/2 right?

So, if 31 is half of this mysterious number then we just need to times 31 by 2.

Therefore, 31 * 2 = 62.

We can check this by multiplying 62 by .50 (remember that when using percents in an operation we move the decimal over twice)

62 * .50 = 31

I hope this helps!!

If you have any question just ask!

- Kay :)

Answer:

The arithmetic between 42 and 86 is 44

Step-by-step explanation:

Answer:

b and d i think.

Step-by-step explanation:

B passes through the ordered pairs negative 3, 8 and 2, negative 7.

D passes through the ordered pairs 1, 4 and negative 4, negative 1 and is extrapolated further in the quadrant.

Answer:

b and d

Step-by-step explanation:

Answer:

378

Step-by-step explanation:

Remark

This is a question that all investors in stocks should be aware off. It does not come back to 450 dollars.

Step One

Find out the price of the discounted camera.

40% reduction price =  450 - (40/100)*450

40% reduction price = 450 - 180 = 270

Step Two

Now add 40% onto the new price.

New price = Reduced price + 40% of reduced price

New Price = 270 + 40%* 270

New Price = 270 + 108

New Price = 378

Remark

The reason stock investors should be aware of this is that if you take a 40% loss on a stock it takes more than a 40% gain to make the price of your stock loss back.

Answer:

The answer is C i think  not that sure

Step-by-step explanation:

Answer:

8posters are created

Step-by-step explanation:

Given the function that represents the total number of posters expressed as

f(t)= 5t+3

The total posters every hour occur at t = 1hr

Substitute into the equation

f(1) = 5(1)+3

f(1) = 5+3

f(1) = 8

Hence the function f represents the fact that every hour, 8posters are being created

Answer:

Forma exacta:

x=50/11

Answer:

Miko found an incorrect quotient and checked her work using multiplication incorrectly.

Step-by-step explanation:

The given expression is

[tex]\dfrac{5}{\dfrac{5}{3}}[/tex]

Applying the reciprocal rule we get

[tex]5\times \dfrac{3}{5}=5[/tex]

What Miko did was

[tex]3\times \dfrac{5}{3}=\dfrac{3}{1}\times\dfrac{5}{3}=\dfrac{15}{3}\ \text{or}\ 5[/tex]

So, Miko took the wrong values of the quotients and applied multiplication incorrectly.

Hence, Miko found an incorrect quotient and checked her work using multiplication incorrectly.

Answer:

Yea i think it is the first one

Step-by-step explanation: