If JM = x + 17 and MK = 5x - 23 find JL

If JM = X + 17 And MK = 5x - 23 Find JL

Answers

Answer 1

Answer: 54

Step-by-step explanation:

Answer 2

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,

HM = JM = MK = ML

Substitute the value of JM and ML,

JM = MK

x + 17 = 5x - 23

x - 5x = -23 - 17

-4x = -40

x = 10

The length of JM can be written as,

JM = x + 17 = 10 + 17 = 27

Since HM = JM = MK = ML, therefore,

JL = (JM + ML) = 27+27 = 54 units

Hence, the length of JL is 54 units.

Learn more about Rectangle:

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Related Questions

answer this qustion plz and if get right i might give you brainlist

Answers

Answer:

A

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

III Question 4 of 10 ( point) Question Attempt: 1 of Unlimited Susan makes house calls. For each, she is paid a base amount and makes additional money for each hour she works, The graph below shows her pay in dollars) versus the number of hours worked. Use the graph to answer the questions.​

Answers

Answer:

a) $30

b) 30

Step-by-step explanation:

a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.

b) Every hour, the pay goes up 30.  Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.

A swimming pool manager is making a schedule for his lifeguards next Monday. The pool policy states that there must be 2 lifeguards on duty for a pool attendance of up to 20, 3 lifeguards on duty for an attendance of 21-50, 4 lifeguards on duty for an attendance of 51-75, and 5 lifeguards on duty for an attendance of 76-100. Based on last Monday's pool attendance shown in the graph, how many lifeguards should be scheduled at 2:00?

A. 4 lifeguards
B. 5 lifeguards
C. 3 lifeguards
D. 2 lifeguards

Answers

Answer: A.4

Step-by-step explanation:

Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.

Answers

Answer:

The answer is B

This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.

Answer:

B: Alex sent the questionnaire only to those who live near her

Step-by-step explanation:

<3

Which scatterplot shows a linear association?

Answers

A linear association is when the shape of the scatter plot is a straight line.

Therefore, the answer would be C, as you had it, because it is showing the data in a straight line.

Answer:

C

Step-by-step explanation:

I need help with this i don’t understand this

Answers

Answer:

13.<CAF = 145

14.<ABC = 50

15.<KCJ = 95

16.<ABG = 130

17.<BCJ = 85

18.<CAB = 35

19.<x =60

20.<y =120

21.<z = 133

22.<w = 47

23.<m = 128

24.<p = 52

Step-by-step explanation:

It just looking at the vertically opposite angle to find the exact angle.

Ex. <CAF = <BAD

HELP ME PLEASE I'll give brainless.

Answers

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

A figure is shown.

What is the value of m?
___ degrees

Answers

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

please help me it due soon

Answers

Answer:

Tyler is correct

Step-by-step explanation:

ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A

how do this math problem?
of shaded region shapes

question 2)
find the area of each shape.
All measurements are in centimetres.

and please explain me to how to do this cuz I don't understand my teacher in maths​

Answers

Answer:

photo isn't clear, first of all u have to click clear picture

FREE PTS! If you were to go to any dream reality, where would you go? ​

Answers

Answer:

I would be in vampire diaries world bc why not

Answer:

I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.

Step-by-step explanation:

help plz!
lines a and b are parallel m∠4=

Answers

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

What is an alternate angle?

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

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A line is perpendicular to y = 3x - 8 and
intersects the point (6, 1).
Write the equation in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.

then m = -1/3 for our perpendicular line

y - 1 = -1/3(x -6)

y -1 = -1/3x + 2

y = -1/3x +3

there you go  :)

A bottle of cough syrup has
300 mL. If you take 5-mL
spoonfuls 3 times a day, how
many days will the cough syrup
last?

Answers

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Please help I can’t fail

Answers

Answer:

B

Step-by-step explanation:

line b is the closest to all the points on the graph

In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?​

Answers

Answer:

19

Step-by-step explanation:

24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2

round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.

can somebody help? please.

Answers

Answer:

[tex]x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

Step-by-step explanation:

We need to find the value of x.

Here, Hypotenuse = √6

Perpendicular = x

We know that,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

So,

[tex]\sin(45)=\dfrac{x}{\sqrt6}\\\\x=\sin(45)\times \sqrt{6} \\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\times \dfrac{\sqrt2}{\sqrt2}\\\\x=\dfrac{\sqrt6 \times \sqrt 2}{2}\\\\x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

So, the value of x is equal to [tex]\dfrac{\sqrt6 \sqrt 2}{2}[/tex].

The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?

Answers

Answer:

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.

In the figure to the right, if AC = 21 and BC = 18, what is the
radius?

Answers

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

quick help plzz!!!!!!!

Answers

It is B I’m pretty sure

Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

x + 90 = 61
​x + 90 + 61 = 180​
​x + 61+ 90 = 90​
​x + 61 = 180​

Answers

Answer:

B.

Step-by-step explanation:

x + 90 + 61 = 180.

The m of angle vertical to x = m  < x and the 3 angles are on the same line.

Oliver found a list of the number of roller coasters at each amusement park in the state. ​11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?

Answers

the median to your question is 29.5

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

In how many ways can a group of 9 persons arrange themselves around a circular table?​

Answers

Answer:

20,160 ways

Step-by-step explanation:

9x8x7x6x5x4x3x2x1=9

A flagpole that is 21 ft tall casts a shadow that is 30 ft long. What is the angle of elevation of the sun when this shadow is cast?

Answers

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

Please help me I have 10 minutes no scams I’m in 7th grade

Answers

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

Simplify, give answer in exponential form: 3^9 x 3^4

Answers

Answer:

In exponential form, the correct answer is [tex]3^{13}[/tex].

Step-by-step explanation:

When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y

Answers

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

The answer is 19

4(4) + 3(2) - 3

16 + 6 - 3

22 - 3

19

factor this equation 75k^2+30k=-3

Answers

The answer is K=-1/5

You suppose to divide both sides by 3.

Move the constant to the left-hand side and change its sign Use a^2 + 2 ab+ b^2 = (a+b)^2 to factor the expression.

The only way an exponentiation can be 0 is when the base equals 0.

Move the constant to the right-hand side and change its sign.

Divide both sides of the equation by 5.

Answer: K=-1/5

Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6

Answers

Answer:

1/6

Step-by-step explanation:

There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6

The solution is,  the probability that the result will have at least one two in it is, 1/6.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Two six-sided number cubes are rolled at the same time.

so, we get,

There are 12 numbers in total.

There is a 2 on each cube so there are two possible chance.

2/12=1/6

2/2=1

and 12/2=6

now, we have,

therefore 2/12=1/6.

Hence, The solution is,  the probability that the result will have at least one two in it is, 1/6.

To learn more on probability click:

brainly.com/question/11234923

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