In the figure, M and N are midpoints of RT and ST. What is the length of MN

Answers

Answer 1

Answer:

b - a

Step-by-step explanation:

Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length

The midpoint formula is

( (x1 + x2)/2, (y1 + y2) / 2 )

So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)

And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)

Because the y-coordinates are the same (d), the distance from M to N is,

final x-coordinate minus initial x-coordinate

x-coordinate of N minus x-coordinate of M

(c + b) - (a + c)

Distribute the negative and remove the parentheses

c + b - a - c

Group the cs together

c - c + b - a

Cancel out the cs

b - a


Related Questions

5 added to a certain number gives a result of -6 . Find that number​

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n , then

n + 5 = - 6 ( subtract 5 from both sides )

n = - 11

The number is - 11

Answer: -11

Step-by-step explanation:

Let x be the number

Set equation

x + 5 = -6

Subtract 5 on both sides

x + 5 = -6 - 5

[tex]\boxed{x=-11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which problem has a sum of 16.52 ?

1.42 + 3.1 + 12 = 16.52

Answers

Yh this is the answer

Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).

Answers

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

Findi the value of x

Answers

Answer:

By Pythagoras theorem ,

H^2 = P^2 + B^2

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = 5

therefore , value of x = 5

hope that helps uh..

Answer:

x = 5

Step-by-step explanation:

Since it's a right triangle, you can use Pythagorean Theorem.

[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]

Reduce the Fractions 15/9to its Lowest Terms

Answers

[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]

[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]

Decimal Form - 1.6667

Estimate the measure of this angle within 15°.

Answers

Guess what I hate i ready and I don’t know the answer sorry

The difference of F and 5 times G is the same as 25 minus f

Answers

Step-by-step explanation:

(5×G)-F=25-F

I hope it helped U

stay safe stay happy

show me step by step : 22.04 x 9 =

Answers

Answer:

the answer is 198.36

Step-by-step explanation:

i dont know lol sorry

If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.

Answers

Answer:

Here,

A=-7

B=12

Length of AB=?

Now, We know that,

Length of AB=-7-12

=-19

Thus, the length of AB is -19

can anyone help me please​

Answers

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20 ​

Answers

Answer:

15x+55y+20

Step-by-step explanation:

mark me brainlest

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be

⇒ 15x + 55y + 20 ​

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-​

Answers

Answer:

10 points away

Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?

Answers

She has 5 more dollars in her bank account because she withdrew 20 which is -20 then added 25 and -20+25 is a positive 5 dollars in her bank account

pls hurrryyyyyyy #42 only and show work

Answers

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

2,8,18,32,50,72 which term is the sequence is 512?

Answers

Answer:

16

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

40% increase

Step-by-step explanation:

c = final value - initial value

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

                initial value

112 - 80 = 32

32 / 80 = 0.4

0.4 = 40%

Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)

Answers

I think this is the answer to the problem 5 1/6 - (B-7 4/5)

if f(x)= 2(3x²-2x+2). Find:

A) f(x+1)
B) f(3)​
C) f(y-2)

Answers

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.

Answers

We know that:

There are n arithmetic means between the numbers 33 and -3

second last mean: second mean = 1:5

Using this, we can find that the value of n is 9.

Now let's see how we need to use the information.

"There are n arithmetic means between the numbers 33 and -3"

This means that we will have a sequence like:

33, a₁, a₂, ..., aₙ, -3

And by the given ratio, we know that:

aₙ₋₂:a₂  = 1:5

Also, because this is an arithmetic sequence we have:

a₁ = 33 + d

a₂ = 33 + d + d

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

Because of the ratio, we will have that:

aₙ₋₂/a₂ = 1/5

We can replace what the left side by:

(-3 - 2*d)/(33 + 2*d) = 1/5

now we can solve this for d.

-3 - 2*d = (33 + 2*d)*(1/5)

5*(-3 - 2*d ) = (33 + 2*d)

-15 - 10d = 33 + 2d

-15 - 33 = 2d + 10d

-48 = 12d

-48/12 = -4 = d

So now we know that the value of d is -4.

Now we can use the equation

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

to find the value of n:

33 + (n - 2)*d = -3 - 2*d

33 + (n - 2)*-4 = -3 - 2*-4

33 - 4n + 8 =  -3 + 8

41 - 4n = 5

-4n = 5 - 41 = -36

n = 36/4 = 9

The value of n is 9.

If you want to learn more, you can read:

https://brainly.com/question/11559160

Answer:

Step-by-step explanation:

HI. just posted a question can u help me out pleas please

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

fill in the dimensions and angle measures . Are the dashed segments parallel ?

Answers

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

Rewrite in simplest terms: -10f – 6(-9f +2)

Answers

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

[tex]44f - 12[/tex]

Step-by-step explanation:

[tex] - 10f - 6( - 9f + 2)[/tex]

[tex] - 6( - 9 + 2)[/tex]

[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]

[tex]6 \times 9f - 6 \times 2[/tex]

[tex]54f - 6 \times 2[/tex]

[tex]54f - 12[/tex]

[tex] - 10f + 54f[/tex]

[tex]( - 10 + 54)f[/tex]

[tex] = 44f - 12[/tex]

There are two precalculus sections at a high school. Mr.​ Abel's class has 10 girls and 6 ​boys, while Mr.​ Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

Help me with this question!

Answers

Answer:

...

Step-by-step explanation:


Find the distance between the points (-3, 5) and (0, 1)

Answers

The distance between these two points is 5.

evaluate the function

Answers

Answer:

-16

Step-by-step explanation:

x = -3 is less than -2, so you should use the first equation 5x-1

thus, 5(-3)-1 = -16

Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!

Answers

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99

Answers

Answer:

(G)77

Step-by-step explanation:

44+11=55.

55+22=77.

77+33=110.

110+44=154.

154+55=209.

5/8k=25
how do i do this?

Answers

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

y=x+5, or you could but y=1x+5 it’s the same thing
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