The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer 1

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m


Related Questions

I WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

A

Step-by-step explanation:

the answer would be A

Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 3 that can be obtained from the population of five officials. Governor ​(Upper G​) Lieutenant Governor ​(Upper L​) Secretary of State ​(Upper S​) Representative ​(Upper R​) Press Secretary ​(Upper P​) b. If a simple random sampling procedure is used to obtain a sample of three ​officials, what are the chances that it is the first sample on your list in part​ (a)? the second​ sample? the tenth​ sample? a. List all 10 possible samples​ (without replacement) of size 3. Use the letter abbreviation for each official.

Answers

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

a) Given:

Population size [tex]N=5[/tex].

Sample size [tex]n=2[/tex]

Possible sample (without replacement)

[tex]\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}[/tex]

[tex]=\frac{5\times 4}{2}[/tex]

[tex]=10[/tex]

[tex]10 samples:-[/tex]

Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

b) Event: [tex]E\to[/tex]choosing sample second and tenth.

[tex]E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10[/tex]

The Probability of that it is the first sample.

Second and tenth sample[tex]=\frac{n\left ( E \right )}{n(S)}[/tex]

                                           [tex]=\frac{2}{10}[/tex]

                                           [tex]=\frac{1}{5}[/tex]

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Which phrase should be inserted on the line to make a true statement? Use the models to help.

Answers

Answer:

2/3 = 8/12

Step-by-step explanation:

2/3    vs 8/12

Multiply the left by 4/4 to get common denominators

2/3 *4/4 = 8/12

They are equal

Answer:

is equal to or awnser D

Step-by-step explanation:If you divide the you get the same awnser

While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?

Answers

Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour, the bucket is 3/5 of the way full. What is the rate at which the water is leaking per hour?

Answers

Answer:

Rate = 3/5 bucket / 1/2 hour

= 6/5 or 1 1/5 buckets per hour

This formula v = u + at, links:

initial velocity (u)

final velocity (v)

acceleration (a)

time (t)

What is the value of v if u = 5, a = 10 and t = 2?

Answers

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

24. John buys 20 bunches of bananas
For N5. He sells them all for N6.50.
What is his percentage profit?
(a) 3/12%
(b) 20%
(c) 30%
(d) 762/13%
(e) 77%​

Answers

Answer:

30%

Step-by-step explanation:

Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]

Selling price = N6.50

Cost price = N5

∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]

                 = [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

       

PLs help me find the surface area of the box thxsssss

Answers

Answer:

290 in^2

Step-by-step explanation:

front side x 2 = 176

top + bottom = 48

sides x 2 = 66

Sum = 290

Answer:

Total surface area S_tot = 290 in²  thus c. is your answer

Step-by-step explanation:

length l = 8 in

width w = 3 in

height h = 11 in

diagonal d = 13.9283883 in

total surface area S_tot = 290 in²

lateral surface area S_lat = 242 in²

top surface area S_top = 24 in²

bottom surface area S_bot = 24 in²

volume V = 264 in³

Formula and Agenda:

Formulas for a rectangular prism:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)

Answers

Answer:

11x - y = - 24

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

11x - y = - 24

Hope this helps you

The function f(x) is shown in the graph above

The function g(x) = -2x - 5
compare the slopes

A. The slope of f(x) is undefined and the slope of g(x) is negative

B. the slope of f(x) is the same as the slope of g(x)

C. The slope of f(x) is less than the slope of g(x)

D. The slope of f(x) is greater than the slope of g(x) ​

Answers

Answer:

B. the slope of f(x) is the same as the slope of g(x)

Step-by-step explanation:

B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.

Answer:

D ye

Step-by-step explanation:

what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal

Answers

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

I need help with this question, Please

Answers

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a number greater than 5

Answers

Answer:36/52, simplified to 9/13 or 69.23%

Step-by-step explanation:

Need to pick 6, 7, 8, 9, 10, J, Q, K, A (9 cards per suit)

4 suits x 9 cards

36 cards

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed the points lol

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!

1. what is the measure of angle B? (image included below)


2. What is the value of x? (image included below)

Answers

Answer:

1. 47 2. 49

Step-by-step explanation:

1st is complementary and second is supplementary

Answer:

Step-by-step explanation:

b+43˚=90˚

subtract 43˚ from both sides of the equation

b=47˚

3x+33˚=180˚ (because it's a straight angle)

subtract 33˚ from both sides

3x=147˚

divide both sides by 3

x= 49˚

NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!

Consider the triangles

What can be concluded about these triangles? Check
all that apply
O The corresponding angles are proportional
The ratios of the corresponding sides are
equivalent
The corresponding sides are congruent.
O The corresponding angles have the same measure
DE corresponds to IH

Answers

The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.

What are similar figures?

Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.

From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.

2. The corresponding angles have the same measure

3. DE corresponds to IH.

Step-by-step explanation: here's proof :)

have a good day!!

Richard's Rental Car charges a $55 rental fee and $0.25 per mile. Freddy's Rental Car charges a
$45 rental fee and $0.35 per mile. For how many miles, X, will the total charge of Richard's
Rental Car be no more than the total charge of Freddy's Rental Car?
2 < 10
> 10
> 100
2 < 100​

Answers

Answer:

Correct option: third one -> X > 100

Step-by-step explanation:

The equation for the price of Richard's Rental Car is:

P1 = 55 + 0.25*X

The equation for the price of Freddy's Rental Car is:

P2 = 45 + 0.35*X

To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:

55 + 0.25*X < 45 + 0.35*X

0.25*X - 0.35*X < 45 - 55

-0.1*X < -10

0.1*X > 10

X > 100

Correct option: third one

i need help!How would i find the value of X?

Answers

It is a 90° angle from up to right and 65 makes up part of it so 90-65=25
90-65 = 25 this is the value of x

Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F

Answers

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.

Answers

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44

The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of AngleJKL? °

Answers

Answer:

its 65

Step-by-step explanation:

The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.

We have to determine the degree measure of ∠JKL .

Define Angle.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

According to the question, we have -

Measure of ∠JKL = 3x + 5

Measure of ∠JKM = 45 degrees

Measure of ∠MKL = x degrees

Refer to the image attached for more clarity. It can be seen from the image that -

∠JKL = ∠JKM + ∠MKL

3x + 5 = 45 + x

3x - x = 45 - 5

2x = 40

x = 20

Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

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7th grade math I need some help

Answers

Answer:

Step-by-step explanation:

[tex](-14+\frac{3}{2}b)-(1+\frac{8}{2}b)=-14-1+\frac{3}{2}b-4b[/tex]

                                   = ([tex]-15-\frac{5}{2}b[/tex])

[tex](5+2b)+(2b+\frac{3}{2})=(5+\frac{3}{2})+(2b+2b)[/tex]

                             = [tex](4b+\frac{13}{2})[/tex]

[tex](\frac{7}{2}b-3)-(8+6b)[/tex] = [tex](\frac{7}{2}b-6b)-(3+8)[/tex]

                             = ([tex]-\frac{5}{2}b-11[/tex])

[tex](-10+b)+(7b-5)=(-10-5)+(b+7b)[/tex]

                               = [tex](8b-15)[/tex]

Help me please on this question

Answers

Answer:

Step-by-step explanation:

Given : QP║RT and QR║US

To prove: ∠1 ≅ ∠5

                Statements                   Reasons

1).   QP║RT                           1). Given

2). QR║US                           2). Given

3). ∠1 ≅ ∠2                           3). Alternate angles

    ∠2 ≅ ∠5                          

4). ∠1 ≅ ∠5                           4). Transitive property

Reasons for third step,

PQ║RT and QR is a transverse therefore, ∠1 and ∠2 will be alternate angles.

Similarly, QR║US and RT is a transverse therefore, ∠2 and ∠5 will be the alternate angles.

What is the formula for the circumference of a circle in terms of r?

Answers

Answer:

2 x pi x r

Step-by-step explanation:

i just copy n pasted this on google

Step-by-step explanation:

c= 2πr

What is the answer? Pls help

Answers

Answer:

D

Step-by-step explanation:

Plug in 6 as x in the function

h(6) = 3(6) - 4

h(6) = 18 - 4

h(6) = 14

Answer:

The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14

Step-by-step explanation:

i need help pls, asap pls !!

Answers

Answer:

B

Step-by-step explanation:

How many times does 2 go into 5?

Answers

Answer:

answer is 2.5 times....

There are 2.5 times does 2 go into 5.

Since, Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that,

To find what times does 2 go into 5.

Now, We can solve as by divide 5 by 2,

⇒ 5 / 2

⇒ 2.5

Thus, A number 5 is 2.5 times 2.

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(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *

Answers

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

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solve using eliminates method 3x-4y=15 2x-2y=8​

Answers

Answer:

Step-by-step explanation:

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Assume water has a density of 1.00 g/mL. (Molar Mass for H = 1 , O = 16 , K= 39 , Mn= 55 ) The mole fraction of the solute = Evaluate the following expression. 6 squared -1 What is the measure of Nenn Co.'s allowance for uncollectible accounts was $190,000 at the end of 2024 and $200,000 at the end of 2023. For the year ended December 31, 2024, Nenn reported bad debt expense of $26,000 in its income statement. What amount did Nenn debit to the appropriate account in 2024 to write off actual bad debts? HELP ME OUT PLEASE KISSES WILL BE AWARDED Find the sum of the first 14 terms for the sequence -2,10,-50,.... Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound traintravels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?Do not do any rounding. Suppose U.S. consumers 21 years and older consumed 26.4 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses: H0: 26.4 Ha: > 26.4 (a) Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee? a) Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.4 gallons and hence lower than throughout the United States. b) Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.4 gallons and hence higher than throughout the United States. c) Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.4 gallons and hence higher than throughout the United States. d) Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.4 gallons and hence lower than throughout the United States. (b) What is the Type I error in this situation? What are the consequences of making this error? a) The type I error is rejecting H0 when it is true. This error would claim the consumption in Milwaukee is greater than 26.4 when it is actually less than or equal to 26.4. b) The type I error is not rejecting H0 when it is true. This error would claim the consumption in Milwaukee is less than or equal to 26.4 when it is actually less than or equal to 26.4. c) The type I error is not rejecting H0 when it is false. This error would claim the consumption in Milwaukee is less than or equal to 26.4 when it is actually greater than 26.4. d) The type I error is rejecting H0 when it is false. This error would claim the consumption in Milwaukee is greater than 26.4 when it is actually greater than 26.4. (c) What is the Type II error in this situation? What are the consequences of making this error? a) The type II error is accepting H0 when it is true. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.4 gallons when it is less than or equal to 26.4. b) The type II error is not accepting H0 when it is true. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.4 gallons when it is not. c) The type II error is accepting H0 when it is false. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.4 gallons when it is not.d) The type II error is not accepting H0 when it is false. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.4 gallons when it is greater than 26.4. Clarissa complained of shortness of breath and currently has a pacemaker. A myocardial perfusion imaging, tomographic (SPECT), multiple studies, was done. What is the appropriate CPT code for this procedure? a. 78452 b. 78451 c. 78453 d. 78456 What is the most typically used measure of a country's level of development? Which of the following phrases provides a context clue for the definition of the word dialogue? carefully listened Not only conversation it was also The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is? A piano with a mass of 130 kg is lifted 10m above the ground in 5 s by a crane.What is the power used by the crane