In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?

Answers

Answer 1

Answer:

Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.

The length of QR is 4x -11 and the length of MP is 9x - 29.

We need to determine the measure of MP.

Value of x:

The value of x can be determined using the triangle midsegment theore

Applying the theorem, we have;

Substituting the lengths, we get;

Subtracting both sides by 8x, we have;

Adding both sides of the equation by 29, we get;Thus, the value of x is 7.

Measure of MP:

The measure of MP can be determined by substituting x = 7 in the length of MP.

Thus, we have;

Thus, the measure of MP is 34.


Related Questions

Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.

Answers

Answer:

T = 8 + 5 + 6

Step-by-step explanation:

Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.

T = 8 + 5 + 6

AHH HELP-

solve for y.
-2x + y = 5

what does y equal and how did you solve it?

Answers

Answer:

x = - 5 +  Y        _     _        2     2

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

Can somebody help me solve this equation?

Answers

Join the yarichin supremacy

the value of a second hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 year time.


pls show working out who ever answer first get marked brainest and get rated excellent. urgently needed. need asap my teacher waiting​

Answers

Answer:

0

Step-by-step explanation:

20 percent of 8000 = 1600

1600 x 5= 8000

8000 - 8000 = 0

Add a computer manufacturing company, they produce two different types of computers. They can make 70 laptops per day while making 55 desktop per day. The company has a total of 14 machines to make computers. They can make a total of 905 computers per day. How many machines make laptops and how many make desktops? (QUESTION NUMBER 4 and in the picture is question number 5. PLEASE HELP WITH BOTH

Answers

Answer:

For the second question, 4 busses and 3 cars.

Step-by-step explanation:

It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195.  Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.

I don’t know if this correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! PLEASE ANSWER !!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the three angles =180

because they are supplementary angles

I hope this help

5/7x + 15 - 9/14x - 9

Answers

Answer:

1/14x+6

Step-by-step explanation:

I have already learn that

Answer:

1/14x+6

Step-by-step explanation:

Hope this helped have an amazing day!

level 2 record the letters in your triangle from left to right

Answers

I'm sorry, but this question is not provided with enough information in order for it to be answered

Answer:

EGBFDHAIC

Step-by-step explanation:

Lol i did this before hope this helps!!

If you are seeing this, This is a simple sign to calm down and relax. You have been working very hard and your burned out. Take a break from the stress of trying to find your answers. Its okay. Ask your questions. Take a break. Breathe. You will get your assignments done. You will pass your assignments. You will get good grades. Just relax and ask me your questions. ​

Answers

Answer:

Dang they deleted my last answer

Step-by-step explanation:

I wonder why people ACTUALLY report stuff like this....

Answer:

thanks

Step-by-step explanation:

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

Rita filled 2/5 of a jug with fruit juice. She then added 200 ml of milk to make a milkshake. At this stage, the ratio of the fruit juice to milk is 3:2
how much more liquid can the jug hold?
a)250 ml
b)300 ml
c)400 ml
d)450 ml

Answers

Answer:

250ml understand the concept please

The jug can hold 250 ml more liquid.

Let the jug can hold x ml liquid.

Given Rita filled 2/5 of a jug with fruit juice.

So, the amount of fruit juice is = 2/5 of x = 2x/5.

Then she added 200 ml milk.

Given the ratio of the fruit juice to milk is 3:2.

So,

[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]

So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.

Total amount of fruit juice and milk = 300+200=500 ml.

So the jug will hold = 750 - 500 =250 ml more.

Learn more: https://brainly.com/question/3796978

please HELP MEEEEEEEEEEEEEEE

Answers

It would be arrow
Because that is the right answer
I swear I am not doing this for points but I can barley see your screen it looks so dark, maybe turn your brightness up some.

hola me gusta la matematicas

Answers

Answer:

that is spanish for "hello, i like mathimatics"

Step-by-step explanation:

it is

Answer: Do you want a translation? If you do, it says, "Hello, I like Mathematics."

Step-by-step explanation: I know spanish.

SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD

Answers

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.​

Answers

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

Answer:

8.1

Step-by-step explanation:

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6

Answers

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

What is 7 divided by 9.8?

Answers

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

The answer is 0.71 divided it.
I hope this helps :)

the value of a second-hand car is £8000
Each year it loses 20% of it value at the start of this year. work out its value in 5 years time.


pls show working out
I will mark brainest and rate 5 stars​

Answers

Answer:

£2,621.44

Step-by-step explanation:

Original cost of car = £8000

If it looses 20% of its value yearly

Value at the end of first year

80% * 8000

= 0.8 * 8000

= 6400

Value at the end of second year

80% * 6400

= 0.8 * 6400

= 5120

Value at the end of third year

80% * 5120

= 0.8 * 5120

= 4096

Value at the end of fourth year

80% * 4096

= 0.8 * 4096

= 3,276.8

Value at the end of fifth year

80% * 3,276.8

= 0.8 * 3,276.8

= 2,621.44

Hence the value in 5 years time will be £2,621.44

i have the coronavirus

Answers

That’s swag

I have Squidarooni disease

Answer:

Ok-

Step-by-step explanation:

The cross country track team ran 8.7 kilometers in 42.5 minutes during
their workout. Which equation could be used to find, r, the team's
average running speed in kilometers per minute?

Answers

42.5 Becuase it is correct

what is the least common mulitple of 12,48,and 96

Answers

Answer:

2

Step-by-step explanation:

12/2= 6

48/2= 14

96/2=48

Answer:

Step-by-step explanation:

LCM of 12,48 and 96 is 96

Find the slope between the two points.
(2,7) and (5, 8 )

Answers

Answer:

Slope

0.33

Step-by-step explanation:

While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?

Answers

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

SIMPLE QUESTION
Evaluate:
(square root of 99 - square root of 11)^2

Answers

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

express cos6mcos2m as a sum or difference

Answers

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

Why is it so hard for people to learn math?

Answers

Answer:

I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.

thank you for the free points though :)

Answer:

because they are over thinking easy thing and getting stressed out.

Step-by-step explanation:

this is what happened to me

Use the figure to the right. Find x

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]\textsf{Mean basis Theorem;}[/tex]

        [tex]\overline{JK}=2.\overline{NO}[/tex]

  [tex]3x+26=2\times19[/tex]

          [tex]3x=38-26[/tex]

           [tex]3x=12[/tex]

             [tex]x=12/3[/tex]

            [tex]\boxed{x=4}[/tex]

Complete the proof!!!

Answers

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                                      Reason

1. ∠1 and ∠2 are supplementary [tex]{}[/tex]       Given

∠1 and ∠3 are supplementary [tex]{}[/tex]      

2. m∠1 + m∠2 = 180°     [tex]{}[/tex]                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]     Transitive Property

4. (3) m∠2 = m∠3     [tex]{}[/tex]                            Subtraction property of equality

5. ∠2 ≅ ∠3     [tex]{}[/tex]                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

I need help with 11.

Answers

Answer:

Step-by-step explanation:

last one

determine the slope of the table

Answers

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer

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