Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \overline{IK}. IK

Answers

Answer 1

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20


Related Questions

What additional piece of information is needed to prove the triangles congruent by ASA?
S
T
J
B
D
P
A. ZT ZD
B. ZJ - ZS
C
JT – SD
D. TB-DP

Answers

Answer:

option B

Step-by-step explanation:

ASA congruent triangles shall have one more angle being equal

(6g)^3
Simplify the expression.

Answers

216g^3

Hope this helps

Use
5 ft
10 ft
30 ft
What is the volume of the rectangular prism? Enter the answer in the box.
ft3

Answers

Answer:

1500 ft^3

Step-by-step explaxition

To find the volume of rectangular prism the formual is L*W*H. So you do 5 times 10 times 30 to get 1500 ft^3

Which blood type was donated by the largest percent of people?
Percent of Blood Types Donated
martino
Springfield
A-
9 °
05% 9% 19% 20% 25% 30% 35% 40% 46% 55

Answers

O+ blood was the most

2x = 4y + 8, x - 2y = 4

Answers

Answer: x = 8, y = 2, coordinates (8,2)

Step-by-step explanation:

2x = 4y + 8 (divide by 2 to get value of x)

x = 2y + 4

(now substitute x into the second equation to find value of y)

2y + 4 - 2y = 4

2y - 2y = 4 - 4 (divide by 2 to get value of y)

y - y = 2 - 2

y = 2

Now plug in value of "y" to get value of "x".

x - 2(2) = 4

x - 4 = 4

x = 8

Coordinates (8,2)

8. An car can hold 8 1/4 gallons of fuel. It contains 4 5/6 gallons of fuel. How
much more fuel is needed to fill the car?

Answers

Answer:

3 5/12

Step-by-step explanation:

Answer:

41/12 gallons

= 3 5/12 gallons

Step-by-step explanation:

Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.

You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.

8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.

Then 4 5/6 becomes 29/6 with the same concept earlier.

So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.

33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.

29/6 becomes 58/12 because we multiplied the fraction by 2/2.

Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.

Since we have 99/12 and 58/12, we can subtract cleanly into

99 - 58 = 41

So the answer is 41/12

Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the commission for the month?

Answers

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

Can someone help me solve for X

Answers

Step-by-step explanation:

You can apply the power of point to this problem. Essentially, it states that:

[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]

The principal of a school will distributr money from the schools buget to three sports cricket, track and flirt and netball

Answers

What is the question

I NEED HELP ASAP WITH WORK SHOWN PLEASE GIVE ME AN ANSWER WITH WORK SHOWN Multiple choice questions The answers are 2.26,1.15,2.99,3.41

Answers

Step-by-step explanation:

porportional means they scale by the same ratio

L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x

solve for x

Answer:

Not sure but heres the proportional factor.

Step-by-step explanation:

The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.

Ill mark you brainlist plz help if you put something random I will report you!

Answers

Answer:

3 is the common difference

The next term in the sequence would be 5

Answer:

:)

Step-by-step explanation:

[tex]-10, -7, -4, -1, 2, 5,[/tex]

Common difference = +3

Next term = 2 + 3 = 5

Find the value of x in Oo
12
X
10
X
(Simplify your answer.)
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All

Answers

Answer:

x = 8

Step-by-step explanation:

To get x, we will use the pythagoras theorem;

10² = x² + (12/2)²

100 = x² + 6²

100 = x² + 36

100 - 36 = x²

64 = x²

Swap

x² = 64

x =√64

x = 8

Hence the value of x is 8

Find the value of x
Use sin, cos, or tan

Answers

Answer:   16.5

=========================================================

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

How many feet are in 60 yards

Answers

Answer:

180

Step-by-step explanation:

See the image below:)

!!! ANSWER THE PROBLEM ASAP !!!

Answers

Answer:

Not defined

Step-by-step explanation:

An educated guess:)

15 x (-16) x(-23) x(-1)

Answers

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Question 1

Solve: 2x2 - 4x - 3 =0

Question 2

Solve: x(x - 2)= 4

Question 3

Solve: 9x2 + 12x +4 = 0

Question 4

Solve: x2 + 2x = 1

I’ll give brainiest pls help ASAP

Answers

Answer:

[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]

What is the 6th term of the geometric sequence?
3,6, 12, 24, ...
A. 36
B. 27
C. 48
O D. 96

Answers

Answer:

96 is the 6th term of the geometric sequence

Step-by-step explanation:

The sequence is just adding the number twice to get the nect sequence.

So,

3+3 = 6

6+6 = 12

12+12 = 24

24+24 = 48

48+48 = 96   this is the 6th term

Hope this is helpful

What is the fraction between 6/4 and 7/4 when subtracted

Answers

Answer:

-1/4

Step-by-step explanation:

we always keep the denominator the same if they are the same number and I just subtracted the numerator

Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?

Answers

Answer: 97ft

Step-by-step explanation:

Pythagore

Strip^2 = 65^2 + 72^2 = 9409

Strip = squareroot 9409 = 97 ft

Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints? ​

Answers

After latoya buys 20 prints the remaining balance is $29.25

Answer question 1 in the image

Answers

Answer:

The student is correct

Step-by-step explanation:

It has the numbers next to letter with a power so nit dose have a three term degree.

how many solutions does -3x+12-9x+8=-3(4x-7)

Answers

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals

Answers

Answer:

4%

Step-by-step explanation:

[tex]\frac{part}{entirety} *100[/tex]

[tex]\frac{397}{9925} *100 =4[/tex]

Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4

Answers

Answer:

This is very.....

Step-by-step explanation:

hard

Will give brainliest and 15 points

Answers

Statistics & Data

For this data set, there is an outlier. The outlier is four.

This is representing a small number of assignments required in math class that month.

This means that the correct answer is B.

Answer:

B

Step-by-step explanation:

The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.

If you think I missed something or made a mistake, please let me know.

I need help answering this question

Answers

I’m pretty sure the correct answer is x=6

will mark brainliest if answer correctly

Answers

6. C. Given

7. C. L is the midpoint of EM

8. .D . Definition of midpoint

9. B . < FLE= <ALM

10. C .ASA Postulate

Using the right triangle below. What is the name for side AB?

A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above

Answers

Answer:

hypotenuse is the correct answer

Answer: A) hypotenuse

Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it

What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?​

Answers

The answer is (-1,-3)

All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.

Other Questions
Find the interquartile range of the data.84,75,90,87,99,91,85,88,76,92,94 Elaborar un Mapa Conceptual con datos cualitativos y cuantitativos procesados sobre los cromosomas, la terminologa gentica y caracteres hereditarios. 1. The was very impolite to the guests. What type of noun is host? a) feminineb) masculinec) duald) neuter2. What is the simple predicate in the sentence? . *a) The new elephantsb) elephantsc) will be delivered todayd) will be delivered Un capital de $10 000 se coloca a una tasa anual de inters compuesto del 6% durante 3 aos. Determinar el inters generado Si la capitalizacin es una vez al ao Si la capitalizacin es una vez al mes What is 3logy2logx4logz written as a single logarithm? Corn kernels can be high in starch (starchy) or high in sugar (sweet). The allele for starchy kernels (H) is dominant to the allele for sweet kernels (h). Each kernel on an ear of corn represents an individual offspring. A particular ear of corn has 92 starchy kernels and 88 sweet kernels .Pls draw the punnet square One way to ensure that the race ends up in a tie is to have the person who lost the original race run a shorter distance before turning around. Instead of 80.0 m, what should that distance be Suppose 0.879 g of ammonia reacts with 28.5 mL of a hypobromite solution. Calculate the concentration of the hypobromite solution. Find the value of xA.)9B.)30C.)21D.)6 F(x)=x^2+5 and g(x)=-3x-8Find g(1) and f(g(1)). a.Environmental policy addresses all of the following issues exceptair pollutionb. water pollutionC natural disastersd. overfishingPlease select the best answer from the choices providedBDSave and ExitNextSubmitMark this and return PLEASE DO THIS I WILL MARK U AS BRAINLIESTPLEASE answer please help please At about what age does basal metabolic rate begin to gradually decrease? 15 25 30 45 The Merchandise Inventory account on a classified balance sheet is reported in the: Multiple choice question. current assets section plant assets section long-term investments section intangible assets section Second Company's preferred stock is 8%, cumulative. A provision of the stock agreement specifies that the stock must be redeemed at face value in five years. Required It appears that the loan payable of First Company and the preferred stock of Second Company are very similar. What are the differences between the two securities of culture shock a person is excited about and interested in all of the new cultural experiencesDuring thehe/she is havinga distress stageb honeymoon stageC autonomy staged independence stage Calculate the standard deviation of the following data.23, 19, 28, 30,22 Standard Deviation = 3.68Standard Deviation = 8.12Standard Deviation = 4.13Standard Deviation = 4.03 I cannot understand the following sentence that I heard in TED talk.He wakes up a lot of mornings.Would anyone explain that meaning? I need help with these questions