Find the length of midsegment JN in the trapezoid.

Find The Length Of Midsegment JN In The Trapezoid.

Answers

Answer 1

Answer:

JN = 18.6

Step-by-step explanation:

Theorem:  The length of the midsegment of a trapezoid is the average of the bases.

[tex]JN = \frac{15.4 + 21.8}{2}[/tex]

       [tex]= \frac{37.2}{2}[/tex]

       = 18.6

See how easy that is when you know the theorem.


Related Questions

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?​

Answers

The answer to this equation is 17

An airplane is flying at 450 miles per hour. How many yards does the airplane fly in 30 min?

Answers

Answer:

the plane flies 396,000yd in 30 min

Step-by-step explanation:

450 / 2 = 225

1 mile = 1,760

225 * 1,760 = 396,000 yd

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Step-by-step explanation:

450 miles = 1hour = 60mins

X miles = 30mins

cross multiply

450 × 30 = 60 × X

13500 = 60X

divide through by 60

225 = X

therefore, X = 225miles

now

1 mile= 1760 yards

225 miles = X

cross multiply

X = 1760 ×225

X = 396000 yards

Leah has just inherited $12,000. She wants to invest the money so that she can
increase the value of her inheritance. What are some of the ways she can do this?
1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.
Part A
Write equations for the amount A(t) that will be in the account after t years, if the
interest is compounded continuously, daily, and monthly. Then, find the amount
after 10 years, rounded to the nearest cent, for each method of compounding.
Complete the table.

Answers

After 10 years rounded to the nearest cent Leah did her thing

When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]

Where A = Final amount

         P = Principal amount

         r  = annual rate of interest

         n = how many times interest is compounded per year

         t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly, If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2


A central angle 0, in a circle of radius 4 ft intercepts an arc length of 50 ft.
Calculate the radian measure of 0.

Answers

Given:

The central angle = [tex]\theta[/tex]

Radius of the circle = 4 ft

Intercepted arc length = 50ft

To find:

The value of [tex]\theta [/tex] in radian measure.

Solution:

The formula for arc length is

[tex]s=r\theta[/tex]

where, r is radius and [tex]\theta [/tex] is the central angle in radians.

Putting s=50 and r=4, we get

[tex]50=4\theta[/tex]

Divide both sides by 4.

[tex]\dfrac{50}{4}=\theta[/tex]

[tex]12.5=\theta[/tex]

Therefore, the value of [tex]\theta [/tex] is 12.5 radians.

z scores are useful because they:a. allow us to convert raw scores to mean scores, compare scores from different samples, and transform populations into samples.b. transform linear scores into nonlinear scores, convert nonlinear scores back into linear scores, and allow us to obtain comparisons between nonlinear and linear scores.c. give us an understanding of where a score falls in relation to the mean of its underlying population, allow comparisons to be made between scores from different distributions, and permit the transformation of z scores into percentiles.d. reduce the probability of Type I and Type II errors, allow us to compare raw scores with standard scores, and permit the transformation of raw scores into percentiles.

Answers

Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

PLS HELP FAST ILL GIVE BRAINLIEST
When y=48, x=4.2. If the value of y varies directly with x, what is the value of y when the value of x is 10.6?

Answers

i used ratios which i get that y=121.14 not sure tho

Answer:

y = 121.14

Step-by-step explanation:

For this, we will need to start by cross multiplying.

(4.2 * y) = (48 * 10.6)

4.2y = 508.8

to isolate the varible, we need to divide both sides by 4.2

y = 121.14

Plzzz help me 10 min left​

Answers

Answer:

D

Step-by-step explanation:

The opposite of negative is positive therefore,

the opposite of -2 is positive 2.

2 is locaded at D.

Simplify the given expression below:

(3 + 4i) + (5 - 2i)

1) -2 + 6i

2) 2 - 2i

3) 7 +3i

4) 8 + 2i

Answers

Answer:

4) 8+2i

Step-by-step explanation:

When you expand you get 3+4i+5-2i

when you add the like terms you get 8+2i

Answer:

3

Step-by-step explanation:

The answer is 3 3+4 is 7 and 5-2 is 3

Can someone help me on algebra

Answers

Answer:

[tex]f(3) = 1[/tex]

Step-by-step explanation:

I hope that is useful for you :)

Express 18 and 24 as product of their prime factors ​

Answers

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

( guys this question is a music question it’s not a math question i just put math subject because they didn’t have music subject!! )

In terms of rhythm, notes are named for ...

A. how they look.
B. how long they last.
C. how fast they are.
D. how high or low-pitched they are.

Answers

B. How long they last.

Brainliest plz

Answer:

i think its d

Step-by-step explanation:

Which of the following is the product of the rational expressions shown
below?
2/x • 3/2x - 5

Answers

Answer:

Step-by-step explanation:

6/ 2x2-5x

The product of the rational expression 2/x(3/2 x-5) is 3-10/x.

What is expression?

Expression is combination of numbers, fraction, symbols , coefficients, indeterminants or determinants. It shows a relationship between variables. It is mostly not found in equal to form.

How to find product?

We have been given an expression 2/x(3/2 x-5) and we have to find the product of the expressions.

Product=2/x*3/2 x-2/x*5

To find the product of the expression, we have to multiply numerators with numerators and denominators with denominators and then perform the division part.

=6x/2x-10/x

=3-10/x

Hence the product of the rational expression 2/x(3/2 x-5) is 3-10/x.

Learn more about expression at https://brainly.com/question/723406

#SPJ2

The courthouse is the tales building in the city. If it is 7.5 inches tall in the model, how tall is the actual building? As part of a city building refurbishment project, architects have constructed a scale model of several city buildings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet. Use this scale to answer the following questions.

Answers

Answer:

67.5

Step-by-step explanation:

i did it

The area of a circle is 4pie cm2. What is the circumference, in centimeters? Express
your answer in terms of .

Answers

Answer:

4[tex]\pi[/tex]

Step-by-step explanation:

A = [tex]\pi[/tex][tex]r^{2}[/tex]

A = 4[tex]\pi[/tex] [tex]cm^{2}[/tex]

4[tex]\pi[/tex] =

4 = [tex]r^{2}[/tex]

2 = r

C = 2[tex]\pi[/tex]r

C = 2(2)[tex]\pi[/tex]

C = 4[tex]\pi[/tex]

A fruit seller brought 120 oranges for rs 500 and spent rs 60 for parking them into 10 boxes each containing a dozen oranges. If he sold a dozen of oranges for rs 58.8, find the profit percentage I know the answer it is 5% but I need the explanation for it in picture format it is also ok but in neat handwriting pls help

Answers

Answer:

First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:

C = rs500 + rs60 = rs560

Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:

120/12 = 10

So he has 10 packs of 12 oranges.

And he sells each one for rs58.8

Then if he sells the 10 packs, the total revenue is:

R = 10*(rs58.8) = rs588

The profit is the difference between the revenue and the cost, here the profit is:

P = R - C = rs588 - rs560 = rs28

And the profit percentage is calculated as follows:

(P/C)*100%

Where P = profit and C = cost, then we have:

(rs28/rs560)*100% = 5%

You spin a spinner and pick a card. How many outcomes are possible?

Answers

It's just 5 * 4 which is 20.

It’s 20, hope this helps :))

Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers did steve buy?

Answers

Answer:

Let x be the number of pencils Steve bought.

Let y be the number of erasers Steve bought.

x=y+5

0.1x + 0.25y = 1.55

Solving the system, our answer is: (8, 3)

So, she bought 3 erasers.

Let me know if this helps!

In a school, 4/5 of the students study a language.
Of those students who study a language, 1/3 study German
What is the ratio of students who study German to the students who do not study German?

Answers

Answer:

I agree with Emma

Step-by-step explanation:

above

Answer:

4         12

---   :     ---

15        15

I think this might be the answer, but fair warning there is a high chance I am wrong.

what is pi and how invented it??

Answers

Answer:

Step-by-step explanation:

The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Answer:

π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.

The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.

please help me and show your work pleaseeee

Answers

Answer:

There is no solution

Step-by-step explanation:

[tex]\frac{1}{4} x-13= \frac{1}{4} x + \frac{13}{4}[/tex]

subrtact 1/4 X from each side

-13=13/4 is not true, so no solution

What is the constant term in the expression 6׳y + 5× + 4
PLEASE HELP ME OUT I begging you guys p.s. if u give me the correct answer I'll give u brainillesst points

Answers

Answer:

the constant is x

Answer:

its 4

Step-by-step explanation:

------------Need help ----------
Y=3x-2

Answers

Answer:  -8, -5, -2, 1, 4

Step-by-step explanation:

Y=3x-2

- Plug in the number for x.

x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8

x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5

x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2

x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1

x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4

original price $135; 30%​

Answers

Answer:

40.5

Step-by-step explanation:

dividing

Yes it is 40.5 he is right

What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)

Answers

Answer: A≈63.62

Step-by-step explanation:

9/2= 4.5

A=πr2=π·4.52≈63.61725

Answer:

To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π

convert 34% to a simplified fraction

Answers

Answer:

17/50

Step-by-step explanation:

mark as brainliest pls

The cost of a table is double the cost of a chair and the cost of a cupboard is five times the cost of a table. What is the ratio of the cost of the chair table and the cupboard? If the cost of a table is greater than that of a chair by rupees 2000 find the cost of a chair, table and the cupboard.​

Answers

Answer:

Table 2: 1 Chair

Cupboard 5: 1 Table

Cupboard 10: 1 Chair

The table costs 4,000 rupees, the chair 2,000 rupees, and the cupboard costs 20,000 rupees.

Step-by-step explanation:

Since the cost of a table is double the cost of a chair and the cost of a cupboard is five times the cost of a table, to determine what is the ratio of the cost of the chair, the table and the cupboard the following calculations must be done:

Table 2: 1 Chair

Cupboard 5: 1 Table

5x2 = 10

Cupboard 10: 1 Chair

In turn, if the cost of a table is greater than that of a chair by 2000 rupees, to find the cost of a chair, table and the cupboard, the following calculations must be performed:

Table 2: 1 Chair

2000 x 2 = 4,000

Thus, the table costs 4,000 rupees and the chair 2,000 rupees.

4000 x 5 = 20,000

In turn, the cupboard costs 20,000 rupees.

you can estimate the number of days in the three months of april,may,and june using the eqation 3x30=90 what is the exact number of days in the three months

Answers

Answer:

Step-by-step explanation:

Donna's Garden Supply wants a 3-month moving-average forecast, including a forecast ... 3-Month Moving Average. January. February. March. April. May. June. July ... arbitrary because there is no set formula to determine them. ... ÈPO CH Compare the actual data with the data we forecast (using each of the two a values).

Press the hotspot next to the name of the learner who wrote an incorrect expression.

Answers

Answer:

Luis

Step-by-step explanation:

ok Im pretty sure this photo is clearer​

Answers

Answer:D or C

Step-by-step explanation:

I think it’s d because Martha has a range of 7 and Alicia is 6

State whether the diagonals of each figure bisect each other
A: Parallelogram yes no
B: Square yes no
C: Kite yes no
D isosceles trapezoid yes no

Answers

I am not 100% sure.
A: yes
B: yes
C: yes
D: no
Other Questions
I NEED HELPPLEASEEEIS MY MIDDLE FINGER FINE Which of the following do not match? Prokaryotic and Anaerobic OR Eukaryotic and Anaerobic0 Which of these equations has no solution? A. m = 0 B. m = m C. 2m + 1 = m 2 D. m + 4 = m 4 The drawings below show two plants that grow in Florida, a Milkweed and a Sword fern. The drawing below shows the sporesFlorida MilkweedFlorida Sword FernWhich of the following is present in the Milkweed but NOT in the Sword Fern? (SC.3.L.15.2)root growthO flower productionability to reproduce PLEASE HELP ACELLLUS An animal shelter has a ratio of cats to dogs that is 9 to 7. If the shelter has 18 cats, how many dogs would it have? From what malady did many children suffer during the Great Depression A. lupus B.malnutrition measles D. polio When you measure the mass of an object you are also measuring its what The weekly ad for a local grocery store advertises a 5-pound bag of organic apples for $13.95 Round each rate to the nearest hundredth if needed.(a) Find both unit rates.(b) Which unit rate is typically used? Explain.Please keep the answers simple! Thank you! Mamel expects his research and development team to use creative thinking and develop newideas. Creating an environment where this is encouraged shows a high degree of value forO team orientationO aggressivenessOstabilityinnovation and risk taking Which roles do committees have in the creation of new legislation? Check all that apply.OThey approve it for debate.OThey make changes to it.OThey propose it.O They review it.OThey sign it into law. Complete the Squarex2 + 10x + Evaluate( 2/10 ) ^31. 1/52. 6/303. 8/1,000 Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble? When a sperm and egg combine, it is called _______________________________ A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were born, and 341 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective? Can someone help please someone just took almost all my points bc they didn't answer it the only mammal naturally capable of true sustain flight is Product Rule states: keep the base the same and do this to the exponents. Your A). answerB). multiply C). subtract A statement that contains = to compare two expressions is a