A line segment has the endpoints P(10,9) and Q(2,5).Find the coordinates of its midpoint M.

[tex]\\ \sf\longmapsto x+40=90[/tex](Complementary)

[tex]\\ \sf\longmapsto x=90-40[/tex]

[tex]\\ \sf\longmapsto x=50[/tex]

Now

[tex]\\ \sf\longmapsto y+40=180[/tex]

[tex]\\ \sf\longmapsto y=180-40[/tex]

[tex]\\ \sf\longmapsto y=140[/tex]

Now

[tex]\\ \sf\longmapsto x+y=140+50=190[/tex]

Answer: D: 0

Step-by-step explanation:

Without doing a long division.

[tex]Remember:\\\\\\\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\\\\\dfrac{x^3+1}{x^2-x+1} =\dfrac{(x+1)(x^2-x+1)}{x^2-x+1} =x+1\\\\remainder\ is\ 0\\\\Answer\ D\\[/tex]

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

Answer:

f(20) = 168

Step-by-step explanation:

To find the 20th term, substitute n = 20 into f(n) , that is

f(20) = 9(20) - 12 = 180 - 12 = 168

Answer: i d k

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5a²b⁷)⁷ = (-5)⁷*(a²)⁷*(b⁷)⁷            {(x*y)ⁿ = xⁿ yⁿ}

              = (-5)⁷a²ˣ⁷ b⁷ˣ⁷              { (xᵃ)ᵇ = xᵃˣᵇ}

              = (-5)⁷a¹⁴b⁴⁹

Answer:

D

Step-by-step explanation:

You cannot divide a decimal by a full number and also you move the decimal too places too the right so the bottom option

Answer:

Step-by-step explanation:

Find the value of each expression and compare with 62.35:

Answer:

Books Checked Out:

 -  Mean:  38.6

 -  Median:  38

Books Returned:  

-  Mean:     16.7

-  Median:  16

Step-by-step explanation:

The median is the middle of the range.  Mean is the average.

Answer:

1/6

Step-by-step explanation:

Answer:

hey cutie

Step-by-step explanation:

Answer:

Language:

1. Circle All terms

2. 12 or 13

3. 8

4. 12 or 13

Plot:

Get a graph for this one, the number is the first parameter is x, find that x value along the x axis then after finishing it locate v, find y value along the y axis.

Solve:

1. x = 3

2. x = 1

3. x = 3

4. x = x = 5

5. x = 8

6. x = 12

7. x = 9

8. x = 4

9. x = 3

10. x = 6

11. x = 4

12. x = -12

13. x = 5

14. x = 6

15. x = 16

Step-by-step explanation:

Variables - in algebra is a symbol or a letter.

Constants - are numbers

Coefficients - are the numbers that are with variables

Use this description and circle the examples.

For the plot use a gird, or gets a coordinate plane.

Lastely for the Solve example minus or plus the constant with the coefficient and variable forum the constant outside that has been equal to. Then divide by the variable coefficient, and you will get your x value. Example:

34 - 13 = 21 / 7 thus x = 3

Answer:

PR=22

Step-by-step explanation:

3x+6x+4=14x-6

9x+4=14x-6

10=5x

x=2

Plug in

3(2)

6

6(2)+4

12+4

16

16+6

22

So the bottom should equal 22

14(2)-6

28-6

22

Hope this helps

Brainliest would be appreciated

Answer:

x = 8

ABD = 46 degrees

DBC = 44 degrees

Step-by-step explanation:

Complementary Angles: two angles who’s sum together is 90 degrees

2x + 30 + 3x + 20 = 90

5x + 50 = 90

5x (+ 50 - 50) = 90 - 50

5x = 40

5x/5 = 40/5

x = 8

2(8) + 30

16 + 30

46

3(8) + 20

24 + 20

44

ABD = 46

DBC = 44

This is what I did in the photo

Answer: slope = 4/3

Step-by-step explanation:

(24-12)/(6- -3)

= 12/9

= 4/3

Answer:

B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month

We know

[tex]\boxed{\sf 1US\:ton=3.2\times 10^4ounce}[/tex]

[tex]\\ \sf\longmapsto 3.1\times 10^1ton[/tex]

[tex]\\ \sf\longmapsto 3.1\times 10^1\times 3.2\times 10^4[/tex]

[tex]\\ \sf\longmapsto 9.92\times 10^5ounce[/tex]

Answer:

0

Step-by-step explanation:

-7+7=0

14+(-14)=0

-2/3+2/3=0

125+(-125)=0

Answer:

-67

Step-by-step explanation:

f(x) = x^3 - 3

Let x= -4

f(-4) = (-4)^3 - 3

      = -64 -3

     = -67

Answer:

Step-by-step explanation

So all you do is divide 10.28 by 4 which is 2.57

X=30 the answer is 30

Answer:

x = 30

Step-by-step explanation:

-38 + 6x = 52 + 3x

+38           +38

-----------------------------

6x  = 90 + 3x

-3x         -3x

------------------------------

3x = 90

/3     /3

-------------------------------

x = 30

Answer:

Formular for the perimeter of a triangle:

[tex]perimeter = (side + side + side)[/tex]

let the first triangle to have perimeter, P

let the second triangle to have perimeter, P'

[tex]P = \{5 + (x - 5) + (x - 4) \} \\ P = \{(x + x) + (5 - 5 - 4) \} \\ { \underline{ P = 2x - 4}}[/tex]

and

[tex]P' = \{10 + 16 + (x - 10) \} \\ P' = \{x + (10 + 16 - 10) \} \\ P' = x + 16[/tex]

from the question, P = P'

therefore:

[tex]2x - 4 = x + 16 \\ 2x - x = 16 + 4 \\ { \boxed{ \boxed{x = 20}}}[/tex]

Answer:

93 degrees

Step-by-step explanation:

First, you would need to observe the image and see where to start off. You can see that there is a triangle below the "?" and you would be able to get the answer if you can find the measures of the small triangle(because of vertical angles) So,

180-127= 53.

180-146=34.

Since the angles of a triangle adds up to 180 degrees, 53+34+x=180.

x=93

Now, just flip the angle around and "?" = 93 degrees.

Answer:  93 degrees

===========================================================

Explanation:

Let x be the question mark angle we want to find.

Let y be adjacent to the 127 degree angle

Let z be adjacent to the 146 degree angle.

Refer to the diagram below.

Note that in the diagram, I have a second copy of 'x' because the two x angles are vertical angles. Vertical angles are always congruent.

Let's find angle y

127+y = 180

y = 180-127

y = 53

Do the same for angle z

z+146 = 180

z = 180-146

z = 34

Then notice how,

x+y+z = 180

x+53+34

x+87 = 180

x = 180-87

x = 93

Answer: 1 hour and 8 minutes or 68 minutes.

Step-by-step explanation:

For this question I would start by finding how many minutes it would take to get to 4pm since it's the closest hour to 3:52 pm.

If we think of the 00 in 4:00 as 60, then we can do 60-52=8.

Then we know that 4:00 + 1 hour is 5:00.

To find the final answer add 8 minutes + 1 hour, which is 1 hour and 8 minutes.

This can also be answered as 68 minutes because, 60 minutes (1 hour) +8 minutes = 68 minutes.

Answer:

Unicorn A is 300 years old

Unicorn B is 20 years old

Explanation:

15x + x = 320

16x = 320

x = 20

15 * 20 + 20 = 320

We have that Each unicorn is 20 ans 300 years receptively

[tex]A=300\\\\B=20[/tex]

From the Question we are told that

UNICORN A IS 15 TIMES OLDER THAN  UNICORN B.

THE SUM OF THEIR AGES  IS 320 YEARS.

Let

x=age of unicorn A

y=age of unicorn B

Therefore

[tex]x=15y....1\\\\\x+y=320.....2[/tex]

Sub (1) into 2

[tex](15y)+y=320\\\\y=20[/tex]

therefore

[tex]x=15(20)\\\\x=300[/tex]

In conclusion

Each unicorn is 20 ans 300 years receptively

[tex]A=300\\\\B=20[/tex]

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Answer:

The third one because you just look at the x values of each dot. it isn't the fourth because domain does not include y values.

the line isn't vertical because the y coordinate would have to be 0 in order for the line to be vertical

Answer:

y= -(1/2)x+1

Step-by-step explanation:

it is a vertical line so it also passes through (1,0) so slope (m)= -(1/2)

c=1