Given the median QR and trapezoid MOPN, what is the value of x?
5x - 7
P
27
Q
R
6x + 6
N
O A. 6
O B. 18
O C. 2
O D. 5
O E. 7
o
F. Cannot be determined

Given The Median QR And Trapezoid MOPN, What Is The Value Of X?5x - 7P27QR6x + 6NO A. 6O B. 18O C. 2O

Answers

Answer 1

Answer:

D. 5

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

QR = ½(OP + MN)

Substitute

27 = ½((5x - 7) + (6x + 6))

27 = ½(5x - 7 + 6x + 6)

Add like terms

27 = ½(11x - 1)

Multiply both sides by 2

2*27 = 11x - 1

54 = 11x - 1

54 + 1 = 11x

55 = 11x

55/11 = x

5 = x

x = 5


Related Questions

If you borrow $5000 at an interest rate of 8% for 9 years how much interest will you pay? (I got $3600 but I don't know if its right)

Answers

Step-by-step explanation:

Principal:- $5000

Rate= 8%

Time = 9 years

Interest = P×R×T/100

= 500×8×9/100

= 5×8×9

= 40×9

= 360

Hence, Interest = $360.

if it helps don't forget to like and mark me

hello my friend is from 7th grade she need help with her math 5200 at 49% for 3years??

Answers

Answer:

At the end you will have 12,844$ and you have earned 7644$

Step-by-step explanation:

49% 49 times the money 5,200$ = 254,800 divided by 100 = 2548 in 1 year.

Times 2548 by 3 and get 7644$ ( Interest Earned ) add that by original money and get 12,844$ (Money In Total)

How many sides does a polygon have if the sum of the interior angles is 900∘?

Answers

Answer:

7 slides

Step-by-step explanation:

Sum of exterior angles of any polygon is always 360∘, it can never be 900∘. Hence, there cannot be any polygon like this.

It appears that by error the word "exterior" has been mentioned. In case sum of interior angles is 900∘,

total sum of all the angles is 900∘+360∘=1260∘.

But sum of each pair of interior and exterior angles add up to 180∘

we have 1260∘180∘=7 such pairs

and hence polygon has 7 sides.

Answer:

It's a heptagon, so 7 sides

Step-by-step explanation:

The common factors of 12 and 21 are?​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

•Factors of 12 are 1, 2, 3, 4, 6 and 12 ... ... because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12

•Factors of 21: 1, 3, 7, 21

I could use help please

Answers

.idhenfkakxjxnfnsjznndfo

A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no

Answers

Answer:

that is$ 160 ok alright jf

No because even with 20% off she still wouldn’t have enough to buy it

help put the work plzzzz

Answers

$‭4,774.64‬
Step-by-step explanation:
The amount after 10 years assuming 7.5% compound interest is:
= Amount * ( 1 + rate) ^ no. of years
= 4,500 * ( 1 + 7.5%)¹⁰
= $9,274.64
The accumulated interest is:
= Amount after 10 years - Present amount
= 9,274.64 - 4,500
= $‭4,774.64

The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop

Answers

Answer:

The cost is $75

Step-by-step explanation:

Given

[tex]y = 25x[/tex]

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: [tex]x = 3[/tex]

Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]

[tex]y = 25 * 3[/tex]

[tex]y = 75[/tex]

The cost is $75

Which of the following pairs of functions are inverses of each other?

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

IT JUST MAKES SENSE TO CHOOSE B

The option D pairs of functions are inverses of each other.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the inverse of a function, write the function f(x) as a function of x and then solve for x as a function of f(x).

For option A,

f(x) = 2 + ∛x

To solve for x,

∛x = f(x) - 2

x = (f(x) - 2)³

That is also the inverse So,

g(x) = (x -2)³ "Not correct"

For Option B,

f(x) = x/6 + 8

To solve for x,

x/6 = f(x) -8

x = 6f(x) - 6 *8

That is also the inverse So,

g(x) = 6x - 6 *8 "Not correct"

For Option C,

f(x) = 7/x - 9

To solve for x,

7/x = f(x) +9

x = [tex]\frac{7}{f(x) +9}[/tex]

That is also the inverse So,

g(x) = [tex]\frac{7}{x +9}[/tex] "Not correct"

For Option D,

f(x) = 5x - 11

To solve for x,

5x= f(x) + 11

x = (f(x) + 11)/5

That is also the inverse So,

g(x) =(x + 11)/5 "correct"

Thus, the option D pairs of functions are inverses of each other.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

A school sells chips and candy bars for a fundraiser.



· Each bag of chips sells for 75 cents.



· Each candy bar sells for $1.25



• The school sold fifty more bags of chips than candy bars



• The school made a total of $437.50



How many bags of chips did the school sell?

Answers

Answer: 21

Step-by-step explanation: 21 + 21 = 21

i need help on these questions i don't know about these

Answers

Answer:

Step-by-step explanation:

1)  Polynomial

2) the 1st choice is correct...  the exponents are in descending order

Answer: question one is option 2 and question 2 is option 1

Step-by-step explanation:

Plzz Help!!! Don't do it for points plzz!! Will mark brainliest.

Answers

A. Would be the correct answer

Find the value of x

Answers

Answer:

1

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

Can someone help please :)

Answers

Answer:

x = 5

Step-by-step explanation:

These triangles are similar, so they are in proportion to each other. Because of this we can say [tex]\frac{2.5}{3.5}[/tex] (the lengths of the vertical sides) = [tex]\frac{x}{7}[/tex] (the lengths of the hypotenuses). If we solve by cross-multiplying the numbers and then dividing  we get x = 5.

Find the slope of the line that contains (2,-4) and (2,2)

Answers

Answer:

There is no slope. Therefore the answer is undefined

Step-by-step explanation:

2 - (-4)/ 2 - 2 = 6/0

The slope is m=1/2 you can use the formula Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

help with number 2 pls it’s urgent!!’

Answers

Answer:

Step-by-step explanation:

24

Pls help me!!!! Im stuck!!!

Answers

Answer:

has no solution.

Step-by-step explanation:

you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.

Answer:

infinite solutions  

Step-by-step explanation:

you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.

-7(y= 1.5x - 6) which equals the equation below

-7y= -10.5x-42 then combine the other equation

7y=10.5x+42 and that equals

0=0

y = -3x+ 12
y-intercept:
X-intercept:

Answers

Answer:

x= 4

y= 12

Step-by-step explanation:

i hope this helps :)

Last one

What is the volume, in cubic centimeters, of the cylinder?

A 602.88

B 150.72

C 50.24

D 301.44

Answers

Answer:

A

Step-by-step explanation:

The base of your cylinder has a radius of 4 cm, its area is 16 × 3.14, or 50,24 square centimeters. If that same cylinder is 12 cm tall, its volume is 50,24 × 12 = 602,88 cubic centimeters.

Hope this helps

Kind Regards

Farah Syed

The answer is A ..........

Item 14
Find the missing dimension. Use the scale factor 1 : 12.

Answers

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

u/9+11 at u = -18 can u please show steps?

Answers

Answer:

u = -261

Step-by-step explanation:

Subtract 11 from both sides:

u/9 + 11= -8

u/9 + 11 - 11 = -18 -11

u/9 = -18 - 11

u/9 = -29

u/9 9 = -29 9

u= - 29 9

u = -261

hope i helped

An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?

Answers

Answer:

16,000 starfish

Step-by-step explanation:

year 0: 1000

year 1: 2000

year 2: 4000

year 3: 8000

year 4: 16000

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I uploaded a file hosting link for your question!

See below for more details!

bît.ly/peoplefallfortraps

Step-by-step explanation:

Cookies-x

Cakes-y

x+y=64; he sold a total of 64 cakes and cookies.

x=3y-4; he sold 4 less (-4) than 3 times (3y) the number of cakes he sold.

Given that Triangle KLM is congruent to Triangle RQP, what is the measurement of Angle L? Write only the numerical answer. You do not have to include degrees.

Answers

Answer:

Did you ever get the answer?

Step-by-step explanation:

A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of potatoes and corn, respectively.)

Answers

Answer:

90x+ 50 y ≤  $40,000------  A

30x+ 80y ≤ $ 30,000-------  B

x + y ≤ 500 --- C

Step-by-step explanation:

Let x and y be the numbers of acres of potatoes and corn, respectively.

Then according to the given conditions

90x+ 50 y ≤  $40,000------  A

30x+ 80y ≤ $ 30,000-------  B

x + y ≤ 500 --- C

where both x and y equal to or greater than zero and cannot take a value less than zero.

x + y ≤ 500 --- C

gives us an idea that the total arable land is less or equal to  500 acres.

90x+ 50 y ≤  $40,000------  A

tells us that the total cost of planting potatoes and corn is less or equal to $ 40,000

30x+ 80y ≤ $ 30,000-------  B

tells us that the total cost of fertilizers for  potatoes and corn is less or equal to $ 30,000

In each of these x and y cannot have negative values or less than zero.

WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart the correct comment and give it 5 stars​

Answers

Answer:

its only 5 points tho :c

Step-by-step explanation:

Fill out the table as we did in class for the following:
a) y= 3x + 1
b) y= 2x - 5
c) y = - 2x - 2


All between the values of - 3< x < 3

Answers

Answer:

Step-by-step explanation:

Construct a 2-columned table for each function.  Arbitrarily choose x values to go into the first column, values between -3 and +3:  

Example, for y = 3x + 1:

x    y = 3x + 1    (x, y)

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

-2    3(-2) + 1     (-2, -5)

 0     3(0) + 1      (0, 1)

 1

 2

 

x is the "independent variable."  You choose the values, subject to the requirement that -3 < x < +3.  The function will return the y values, which are dependent upon the inputs x.  This will give you a good number (e. g., 5) points to plot.  Draw a line through these points to obtain a graph of

y = 3x + 1.   And so on.  You need to go through this procedure once for each of the 3 given functions.

Please help!!!!!!!!!

Answers

The correct answer is letter C

You buy 1.65 pounds of oranges and 2.25 pounds of plums. Oranges and plums sell for the same price per pound. The total​ cost, after using a 65¢​-off ​coupon, is ​$3.64. If c represents the cost of the fruit in dollars per​ pound, what equation could you use to find the value of​ c?

Answers

Answer:

C=(3.64+0.65)/(1.65+2.25)

Solve m+18+23=71

PLZZZZZ I NEED THE ANSER PLZZZ

Answers

Answer:

m + 18 + 23 = 71

m + 41 = 71

m = 71 - 41

m = 30

Answer:

30

Step-by-step explanation:

m+18+23=71

m+41=71

m=71-41

m=30

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