Consider the similar triangle below.
ABC is the per-image and PQR is the image.

The coordinates of N so that line segment MN is 1/5 of line segment MP are (1, 14).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

From the image, we have the following:

Point M = (x₁, y₁) = (-1, 3)

Point P = (x₂, y₂) = (9, -22)

MN/MP = 1/5

Moving along line segment MP from M to P, the value of x increases by 10 (from -1 to 9) and y decreases by 25 (from 3 to -22). Thus, the x-coordinate and y-coordinate of N are given by:

x-coordinate of N = -1 + 1/5(10) = -1 + 2 = 1.

y-coordinate of N = 9 + 1/5(25) = 9 + 5 = 14

In conclusion, the coordinates of N so that line segment MN is 1/5 of line segment MP are (1, 14).

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Answer:

x < 8

Step-by-step explanation:

3x + 2 < 2x + 10

Subtract 2 from both sides

3x < 2x + 8

Subtract 2x from both sides

x < 8

Answer:

1. 8+n

2. 4g

3. 2x-5

4. 6/x

5. 3m +9

6. 7+(8-6)

7. If n = 3, 8 - n = 8 - 3

The answer is 5.

8. 18 / 9 = 2

The answer is 2.

9. If x = 4, ten 3x + 1 = 3(4) + 1 = 13

The answer is 13.

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Answer: 0.30 or 30 cents per ounce

Step-by-step explanation:

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Step-by-step explanation:

count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2

x intercept is on the graph, 2.5

y intercept is also on the graph, -5

Answer:

slope = 5/2

x-intercept = 2.5

y intercept = -5

Step-by-step explanation:

x-intercept is when x is 0 something like ( 0, _ )

y intercept is when y is 0 something like ( _ , 0)

Answer:

158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721.

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

Answer:

157 for natrual numbers

Step-by-step explanation:

234-77

Answer:

16 square feet was left over after he cut out the windows

Step-by-step explanation:

The formula of the area of a rectangle is A = l × w, where

∵ The dimensions of each window are 8-foot by 4-foot

∴ l = 8 feet and w = 4 feet

→ By using the rule above find the area of each window

∵ A = 8 × 4

∴ A = 32 feet²

∴ The area of each window = 32 feet²

∵ He cut 2 windows

∴ The area of the 2 windows = 2 × 32

∴ The area of the 2 windows = 64 feet²

∵ The area of the wall is 80 feet²

→ To find the area of the wall left, subtract the area of the windows from

   the area of the wall

∵ The area left = 80 - 64

∴ The area left = 16 feet²

∴ 16 square feet was left over after he cut out the windows

Answer:

Step-by-step explanation:

Depreciation factor is (100 - 12)/100= 0.88 per year

Final value of the car:

Answer:

Jon types 54 words per minute.

Step-by-step explanation:

If Jon typed 36 words in 2/3 of a minute, we need to divide 36 by 2.

36 ÷ 2 = 18

Therefore, Jon types 18 words in 1/3 of a minute. In order to find how many words are typed per minute, we must multiply 18 by 3.

18 x 3 = 54

Therefore, Jon types 54 words per minute.

Hope this helps! :D

Answer:

D

Step-by-step explanation:

None of them logically make sense. A is wrong because it is a higher amount of people who carry a cell phone than not. B and C is wrong because not 100% of people they interviewed carry a cell phone so D is the correct answer

Making r the subject of the formula, r is solved as: B. r = (27 - P)/3P.

Given the formula, A = P(1 + rt), where:

A = 27 and t = 3

To solve for r, make r the subject of the formula as shown below:

A = P(1 + rt)

Divide both sides by P

A/P = 1 + rt

Subtract 1 from both sides

A/P - 1 = rt

(A - P)/P = rt

Multiply both sides by 1/t

(A - P)/P × 1/t= rt × 1/t

(A - P)/Pt = r

r = (A - P)/Pt

Substitute A = 27 and t = 3 into the formula

r = (27 - P)/P3

r = (27 - P)/3P

Therefore, making r the subject of the formula, r is solved as: B. r = (27 - P)/3P

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Answer:

The radius is 4.5, while the area is equaled to 63.585

Step-by-step explanation:

Formula of circumference: radius times 2 times pie (3.14)

Formula of Area of Circle: radius squared times pie (3.14)

Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.

Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.

Answer:the answer would B

Step-by-step explanation:

When you subtract the x will be eliminated because 8 -8 is 0

Hope it helps:)

Answer:

n=-18

Step-by-step explanation:

Steps:

multiply 3 by both sides of the equation

2. cross out the 3 from [tex]3(\frac{2}{3} )[/tex] and you will get 2 and then do -12 x 3 and you will get -36.

3. you now have 2n=-36

4. divide both sides by 2 to isolate n by itself.

[tex]\frac{2n}{2} =\frac{-36}{2}[/tex]

5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18

Hope this helps :) if you have any questions let me know.

Hi!

To find the value of n in the given equation, multiply both sides by 3.

That way, you'll clear the fractions and solving for n will be easier.

[tex]\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}[/tex]

Watch what happens:

[tex]\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}[/tex]

On the LHS, the 3's cancel out, and we're left with 2n:

[tex]\implies\boldsymbol{2n=-36}[/tex]

Now, divide both sides by 2:

[tex]\implies\boldsymbol{n=-18.}[/tex]

Voila! There's our solution.

Have a nice day!

I hope this helps.

-stargazing

Answer: It is 6x+12

Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.

Answer:

3h + 42

Step-by-step explanation:

1. start with inside the parenthesis

12h + 42 - 9h

2. simplify the expression

3h + 42 (H is 3 because 3 goes into 12 and 9).

use ”tham yaw” the two words are backwards

-3x^2 / y^2

^ representing to the power of

Answer:

it's a easy question you just need to add and subtract.

Step-by-step explanation:

like in first question add fx and gx = 2x2 + 2x +8

Answer:

C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.

Step-by-step explanation:

Which statement best describes the depth of the whale, given this equation?

A. From a starting point of 9 meters below sea level, the whale is descending 5 meters per second.

B. From a starting point of 9 meters below sea level, the whale is ascending 5 meters per second.

C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.

D. From a starting point of 5 meters below sea level, the whale is ascending 9 meters per second.

Solution:

A linear equation is an equation in the form y = mx + b, where m is the rate of change (slope) and b is the initial value of y when x = 0, y is a dependent variable and x is an independent variable.

Given that: y = -9x - 5

Comparing with the equation of a straight line, m = -9 and b = -5

Since m = -9, The negative sign means descending, therefore the whale is descending at 9 meters per second.

b = -5, the negative sign means below sea level, hence the starting point of the whale is 5 meters below sea level,

Answer:

1.58

Step-by-step explanation:

Answer:

The theoretical probability of landing on a star space on your first roll  

✔ decreases

The theoretical probability of not landing on a question mark on your first roll  

✔ increases

The theoretical probability of reaching the end space on your first roll  

✔ does not change

Answer:

1) Decreases

2) Increases

3) Does not change

Step-by-step explanation:

Answer:

The first time, the ant went 2m away, then we have a₁ = 2m

The second time, the ant went 3m away, then we have a₂ = 3m

The next time, the ant went a distance equal to the sum of the two previous ones, so we can write it in a general case as:

aₙ = aₙ₋₁ + aₙ₋₂

Only if n > 2.

then the third time, we have n = 3.

a₃ = a₂ + a₁ = 2m + 3m = 5m

a₄ = a₃ + a₂ = 3m + 5m = 8m

a₅ = a₄ + a₃ = 5m + 8m = 13m

This means that in the fifth trip, the ant went 13 meters away from its nest.

And if we consider the fact that the ant must go and return, then it will move a total distance of 13 meters two times, or 2*13m = 26 meters.

Answer:

A

Step-by-step explanation:

y = (1/4)x - 7

slope = 1/4

So, the slope of the perpendicular line  = -1/m = -1 ÷ (1/4)

                                                                 = -1 * (4/1) = -4

(-2 , -6)

y - y1 = m(x -x1)

y - [-6] = -4(x - [-2])

y + 6 = -4(x + 2)

Answer:

a

Step-by-step explanation:

give the other dude brainlest and have fantastic day and great life

Answer:

i took the test and i think its B.gender and drink choice........................................i hope that helps!

Step-by-step explanation:

Answer:

The first person is right it's B

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Plug in 5 for x.

y = -3(5) - 7

y = -15 - 7

y = -22

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

Answer:

C. Any number in Set T is a rational number and not an irrational number

Answer:

c jjbnnbnnnbbjnnbbjj