Find the slope and y-intercept for the graph.

God bless!

The value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option  D: x = 18

Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Here, we're specified that:

They are adjacent and line segments MR and RN are forming a straight line MN, so these angles are supplementary. That means:

(7x -11)° +  (4x -7)° = 180°

Opening the brackets, and solving in terms of magnitude, we get:

[tex]7x - 11 + 4x -7 = 180\\11x - 18 = 180\\11x = 180+18 \\\\x = \dfrac{198}{11} = 18[/tex]

Thus, the value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option  D: x = 18

Learn more about supplementary angles here:

https://brainly.com/question/2882938

Answer:

16%

Step-by-step explanation:

Answer:

20, 90 and 100

Step-by-step explanation:

Total number of statues = 210

Assuming that a large statue = x, medium statue = y and a small statue = z

Then, x + y + z = 210........i

Also, we're told that the monthly cost is $760, so

5x + 4y + 3z = 760.........ii

Cost of selling is $3640, so then

26x + 18y + 15z = 3640.........iii

Solving i and ii simultaneously, we have

5x + 5y + 5z = 1050

5x + 4y + 3z = 760

Subtracting, we have

y + 2z = 290.........iv

Again, solving ii and iii simultaneously, we have

130x + 104y + 78z = 19760

130x + 90y + 75z = 18200

On subtracting, we have

14y + 3z = 1560.........v

And finally, solving iv and v simultaneously, we also have

14y + 28z = 4060

14y + 3z = 1560

On subtracting,

25z = 2500

z = 2500 / 25

z = 100

Substituting for z = 100 in iv, we have

y + 2(100) = 290

y + 200 = 290

y = 290 - 200

y = 90

Substituting for y = 90, and z = 100 in i

x + 90 + 100 = 210

x + 190 = 210

x = 210 - 190

x = 20

Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100

Answer:

it would be 9 cause with start counting the 7- to 2 its gonna be nine

Step-by-step explanation:

Answer:

Watta is ittz

Step-by-step explanation:

:><>> :p hsjsjyzjsbshsgss 2+2 is 4....

Answer:

I think it's B I really don't know though

Answer: x=10; y=-1

Step-by-step explanation:

To solve this via elimination:

get rid of the y's like this:

4x+2y=38 + 2x-2y=22

6x=60

x=10

20-2y=22

y=-1

Answer:

12min 48min

Step-by-step explanation:

1hr=60min

60x20%=12min

60x80%=48min

Answer:

1 : 4

Step-by-step explanation:

20% of 60 mins = 20/100*60 = 12 mins.

80% of 60 mins =80/100*60 = 48mins.

Answer:

4 bags will be required.

Step-by-step explanation:

Patio is in the shape of a parallelogram.

Formula for the area of a parallelogram is,

Area = [tex](\text{Base})(\text{Height})[/tex]

        = 16.2 × 12

        = 194.4 square feet

∵ 50 square feet area is covered by 1 bag of concrete mix.

∴ 1 square feet area will be covered by [tex]\frac{1}{50}[/tex] bag of concrete mix

∴ 194.4 square feet patio will require the concrete mix = [tex]\frac{194.4}{50}[/tex]

                                                                                           = 3.888

                                                                                           ≈ 4 bags

Therefore, 4 bags of concrete mix will be required by Dave to add a new patio.

Answer: 50

Step-by-step explanation:

400 ÷ 8 = 50

Answer:

50 or A

Step-by-step explanation:

Answer: 55 Square inches

Step-by-step explanation:

You should find the area of the square and rectangle separately

To find the area you multiply length times width, so the area of the square is 4×4 which equals 16

Then you do the same to the rectangle, 13×3=39

To find the area of the whole figure you add the area of the two shapes together 16+39 which should give you 55

Answer:

B: 60,000

Step-by-step explanation:

Since there was a total of 200,000 votes, we can create this equation, since we also know the ratio between the two candidates:

7x + 3x = 200,000

x can be seen as a common factor between the two candidates that can be used to express their difference

We can now further simplify this equation by combining like terms and solving for x:

10x = 200,000

x = 200,000/10

x = 20,000

Now, to find the total number of votes cast for Bob Tanks, we multiply x by 3, since it says that Julie Sanders won by a ratio of 7:3, which means she had 7 in the ratio and Bob had the 3.

3x = 3(20,000) = 60,000

The answer is B: 60,000.

Answer: 60,000

Step-by-step explanation:

The easiest way to solve this problem is to use equations

Since we know the ratio of Julie's votes to Bob's votes is 7:3 and the total is 200,000 we can use this equation 200,000 (number of votes)  = 7x(Julie's votes) + 3x(Bob's votes)

After you solve it you get x=20,000

Then,

You put that back into Bob's votes and you get 60,00

Hope this helps :)

Answer:

hey it is 15.71 thanks for points

Answer:

a) 20[tex]\sqrt{35}[/tex]

b) 7[tex]\sqrt{5}[/tex]

c) 18[tex]\sqrt{2}[/tex]

d) 5[tex]\sqrt{2}[/tex]

e) 36[tex]\sqrt{3}[/tex]

f) 72

g) 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.

The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.

Calculation of the amount of mortgage is as follows:

[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875

[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000

Total amount paid = Interest + principal pay = 1875 + 3000 = 4875

Initial balance = 150000

The remaining balance for the mortgage amount = initial balance - the total amount paid.

Amount of mortgage = $ 145125.

Therefore the closest to the mortgage balance after 3 months of payments is

(1) $145,165.

To know more about the calculation of the mortgage amount, refer to the link below:

https://brainly.com/question/24913140

Answer:

D

Step-by-step explanation:

I Looked at te graph and counted each space

Answer:

Step-by-step explanation:

The Anwser is B

Answer:

63

Step-by-step explanation:

you will plug in -7 for both z's

(-8(-7) - (-7)

following PEMDAS you will do multiplication first

(-8(-7) = 56

now we have 56 - (-7)

since - and - make a positive it will be

56 + 7 = 63

Répondre:

AI = 32,36 m

IE = 30,78 m

Explication étape par étape:

Utilisation de Pythagore:

Cosθ = adjacent / hypoténus

AI = hypoténus

θ = 72 °

Adjacent = 10 m

Cos 72 = 10 / AI

0,3090169 = 10 / AI

AI = 10 / 0,3090169

AI = 32,36 m

De la trigonométrie;

IE = opposé

Adjacent = 10m

Tanθ = opposé / adjacent

Tan 72 = IE / 10

IE = Tan 72 * 10

IE = 3,0776835 * 10

IE = 30,78 m

Answer: 6 more times!

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: the tip you should leave is 4.2

14 is 0.04

do 0.04 times 30 and you get 4.2 which is 14 % of 30

Step-by-step explanation:

Answer:

$405,44

Step-by-step explanation:

Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x

Steps: x = (15 x 499.99)/100 = $74.9985

499.99 - 74.9985 = $424,9915

x = (424,9915 x 10)/100 = $42,49915

424,9915 - 42,49915 = $382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

That can be rewritten as $405,44.

I hope that helped :)

Answer:

$41.25

Step-by-step explanation:

The original price is $25. You want to sell it for 65% more. To find this amount, we need to find 65% of 25.

Let's make an equation.

65/100 • 25 = x

Multiply.

x = 16.25

Now we know how much you want to mark it up by.

Add this to your base of $25.

25 + 16.25

= 41.25

You want to sell it for $41.25.

Hope this helps!

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

Answer:

20.5

Step-by-step explanation:

AB= Sqare root of 15^2 + 14^2

USe pythagoras' theorum