Mathematics High School

K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?
A. 7
B. 8
C. 9
D. 13

Answers

Answer 1

Answer:

If JL = 16, we will get JK = 7

Option A is correct option.

Step-by-step explanation:

We are given:

K is between J and L

JK = 3x – 5, and KL = 2x + 1.

IfJL = 16, what is JK

We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL

So, We can write:

[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]

Solving the expression we can find first value of x and then value of JK

[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]

So, we get x = 4

Now, put the value of x in JK=3x-5 to get value of JK

[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]

So, if JL = 16, we will get JK = 7

Option A is correct option.

Related Questions


Please help I need the answer soon!!!!!!

Answers

Answer:

The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)

Step-by-step explanation:

Remember that all triangles have a full measurement of 180 degees.

Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.

Now we subtract 180 - 133 = 47.

The measure of angle two is 47 degrees.

Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.

180 - 138 = 42.

how many times does 50 go into 2490

Answers

Answer:

49.

Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.

The Awnser is 49 hope this helps

help me pls ! if you do l give you the brainiest

Answers

Answer:

a) 3x-7y and -7y+3x

Hope it will help you......

rewrite the equation in standard form

Answers

Answer:

The answer is D.

Step-by-step explanation:

sooo UwU which becomes O////O then becomes T.T

You deposit $200 each month into an account earning 2% interest compounded monthly. How much will you have in the account in 30 years? How much total money will you put into the account? How much total interest will you earn?

Answers

Answer:

A. $99,195.055

B. $72,000

C. $27,195.055

Step-by-step explanation:

A. Calculation for How much will you have in the account in 30 years

Using future annuity formula

Future value=[Deposit amount* (1+Interest rate^n-1)/Interest rate]

Let plug in the formula

Where,

Deposit amount=$200

Number of days=30*12=360

Interest rate=0.02/12=0.0017

Let plug in the formula

Future value=[$200*(1+0.0017^360-1)/0.0/17]

Future value=[$200*(1+0.0017^360-1)/0.0/17]

Future value=[$200*(1.0017^360-1)/0.0/17]

Future value=$99,195.055

Therefore the amount you will have in the account in 30 years will be $99,195.055

B. Calculation for How much total money will you put into the account

Using this formula

Total money=Deposit amount*Number of days

Let plug in the formula

Total money=$200*360 days

Total money=$72,000

Therefore the total money you will put into the account is $72,000

C. Calculation for How much total interest will you earn

Total Interest=$99,195.055-$72,000

Total Interest=$27,195.055

Therefore the total Interest you will earn is $27,195.055

What is the sum of the measures of the interior angles of a 27-gon?

Answers

Answer:

To figure out the total measure of the angles for a 27-gon, there is a formula.

n - 2 x 180*      (n is the number of sides, which would be 27)

27 - 2 = 25

25 x 180* = 4500*

The total measure of the angles of a 27-gon is: 4500*

Step-by-step explanation:

crown

Together, siblings Brandon, Brooke, Trent, and Trisha owe their parents $100. Write a number sentence to show how much each sibling owes if they share the debt equally. (Be sure to use negative numbers where appropriate.)

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that four siblings Brandon, Brooke, Trent, and Trisha owe their parents $100.

The number sentence that will show how much each sibling owes if they share the debt equally will be:

= $100 ÷ 4

= $25

This mean that each child owes $25

find the slope of the line that passes through (8,6) and (4,1).​

Answers

Answer:

[tex] \frac{5}{4} [/tex]

Step-by-step explanation:

Slope [tex] = \frac{y2 - y1}{x2 - x1} [/tex]where y2=1 , y1=6 , x2=4 , x1=8.

Margaret goes to the county fair with $35. Rides cost $3

Helppp ASAP!!
each.
Which is the function that gives the amount of money m that Margaret has as a function of the number of rides that she takes?
Om = 3r +35
Om = 35r - 3
Om = 35r +3
Om = -3r + 35

Answers

Answer:

Om= -3r+35

Step-by-step explanation:

If she pays 3 dollars for a ride then that means she is subtracting 3 dollars from the amount she had which is 35. So it would be -3 times the amount of rides she rode plus 35. Hope this helped you!! Give brainliest.

I NEED HELP!!! ASAP!!!!

What is the value of x in the diagram below?

18/√3

18√2/ √3

18√3/ √2

18√2

Answers

I hope this helps you

at the 30-60-90 triangle has rules

30=>k

60=>k(square root of) 3

90=>2k

so in this triangle 60=> see 9

k(square root of) 3=9

k=9/(square root of) 3

2k=18/(square root of) 3

at the 45-45-90 triangle rules are

45=>2k

45=>2k

90=>[2k/(square root of 3)] (square root of) 2

x=[18/(square root of 3)].(square root of 2)

x=18(square root of 2)/square root of 3

Find the slope of a line parallel to each given line

Answers

Answer:

Slope: 1

Step-by-step explanation:

y = mx + b

m = Slope

y = x - 4

m = 1

Tools -
Question 9
Which expression is equivalent to (x-2)(x - 1)?
A
x²-3x-2
B
x² - 2x-3
с
x²-3x+2
D
x² - 2x + 3

Answers

Answer:

I think It is C or A

Step-by-step explanation:

Answer:

def

Step-by-step explanation:

When two people play a game, each player starts with 10 points. The winner of each round gets 3 points and the loser of each round loses 3 points. William and Abigail play the game. William wins exactly four rounds, and Abigail ends up with16 points. How many rounds did they play altogether?

Answers

10 rounds
After losing 4 rounds, Abigail’s score would have been -2, to reach 16 points she would’ve needed 6 wins, add that to William’s 4 wins and you get 10 rounds


Which point is a solution to the equation?

Answers

I think point b I’m not sure

Solve four tenths plus four ninths
options:
eight ninetieths
eight tenths
seventy six ninetieths
seventy six ninths

Answers

The answer is Eight ninetieths
Pls mark as brainliest thx

Identify the scale factor used to graph the
image below.

Answers

scale factor= 1/2 :)

What is the measure in degrees for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm?

Answers

Answer:

0.7

Step-by-step explanation:

answer this, please !!!

Answers

Answer:

C or R

Step-by-step explanation:

CAN ANYBODY HELP ME WITH THIS JUST WITH 7 TO 12 PLEASE IT IS FOR AN GRADE!!

Answers

Answer: I think there is a mistake for the first one because I did the math and I got 200 added but then there are more answers to this one, I added all the others by 200 and got the next number but then when I got to 6,300 I can't get the 6,700. I get something else, I add 6,000 with 200, and then I get 6,200 instead of getting 6,300. Then I added that 6,200 and 200 and got 6,400. I am confused with the second one, can you please help me understand that one. The third one is also confusing, The one is 12 nuggets eaten per minute. The fifth I am not sure if that is a solvable question, The sixth one I am not sure but I think that it is 0.066667. The seventh one doesn't even make any sense to me.

Explanation: I am sorry this was so long, I was trying to make sense of these questions. Also if this is ALL wrong sorry for even trying.

29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work

Answers

Answer:

62

Step-by-step explanation:

divide 29 by 42 and multiply the answer by 100

Answer: 69.05%

Step-by-step explanation:

21=50%

10.5=25%

Please help due soon!

Answers

H = 2sqrt2
D = 6sqrt3

In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.

In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3

What type of triangle is this ???? Pleaseeee helppppp !!!!!!!!!!! Will mark Brianliest correct answer !!

Answers

Answer: This triangle is an iscoceles acute traingle. It is also an isocelceles right triangle

Step-by-step explanation: In the traingle, you have 2 45 degree angles. That means isoceles acute is correct. Isoceles right is also correct because you have a right angle and 2 equal angles.

Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?

Answers

Answer:

Step-by-step explanation:

8.00/12= $0.60 a piece

If the dotted figure is the image, the original figure was reflected over the.

Answers

Answer:

y axis

Step-by-step explanation:

Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70

Answers

yes, the answer is D
Ur answer would be D

What is the slope of the linear function
y= -1/3x+1
is it
-1/3
1/3
-1
1

Answers

Answer:

-1/3

Step-by-step explanation:

This equation is in y-intersept form; y=mx+b, where m is the slope

Answer:

-1/3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)

Answers

the correct answer:

y=-2x-10

explanation:

IF YOU ACTUALLY HELP ILL GIE BRAINLIEST!!

Answers

Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

because it has +4 with f(x)

Fred works at his and his brother's store. On a weekend, Fred earned $12 an hour and $70 in sale commission He made a total of $250. How many hours did Fred work that weekend?

Answers

Fred worked for 15 hours.
I hope that helps.
he worked for 15 hours

help me please!
Without a calculator, choose the statement that best describes the value of√74.
Choose 1 answer:
A: the value of √74 is between 8 and 8.5
B: the value of √74 is between 8.5 and 9
C: the value of √74 is between 9 and 9.5
D the value of √74 is between 9.5 and 10

Answers

Answer:

B

Step-by-step explanation:

Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are

A) 64 - 72.25

B) 72.25 - 81.

74 falls between 72.25 - 81. So it'll be B

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