Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.

Answers

Answer 1

The point of concurrency of the three median is the centroid of the triangle ABC.

The sum of the lengths of AK and BK is 10.06

Reasons:

The given parameters are;

The medians of the triangle ABC = Segments BF, CD, and AE

The  length of segment FK = 3.40

Length of segment EK = 1.63

Required:

The sum of the lengths of segment AK and BK

Solution:

The ratios of the lengths of AK to KE = 2:1

Therefore, we have;

[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]

1.63 × 2 = 1 × AK

AK = 3.26

Similarly, we have;

[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]

3.40 × 2 = BK

6.80 = BK

Which gives;

AK + BK = 3.26 + 6.80 = 10.06

The sum of the lengths of AK and BK = 10.06

Learn more here:

https://brainly.com/question/7856454

Segments BF, CD, And AE Are Medians For Triangle ABC. Point K Is The Intersection Of All Three Medians.

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Answer:

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  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

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68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.

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Answer:

5x + 28 = 7x - 4

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Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW

Answers

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

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Answer:

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Step-by-step explanation:

The mean of 4 numbers is 40, what is the sum of the 4 numbers

Answers

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

100.000.000x30

Kaçtır?

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Answer:

the answer is 3000000000

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Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

Answers

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

What is the y-intercept of the line shown?

Answers

Answer: 4

Step-by-step explanation:

It crosses on the y axis at the point (0,4)

Answer:

4

Step-by-step explanation:

The y-intercept of the line shown is 4.

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What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3​

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do you have a picture of the line ?

Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?

Answers

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

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Answers

Answer:

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Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

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Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?

Answers

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

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The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
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Answers

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

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Answers

Answer:

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Step-by-step explanation:

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Answers

Depending on how it is written, it could be either of these following solutions:

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For the second, do the same

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1. A

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Answers

Answer:

y < 3/4 x

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Step-by-step explanation:

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(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

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Luna is competing in a 200 m race.
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The remainder of the race takes her 29 seconds to complete.
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Answers

Answer:

24

Step-by-step explanation:

Answer:

24 in the answer

Step-by-step explanation:

Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?

Answers

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1​

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Answers

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

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t=3/15hr

t=.2hr

t=12 mins

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27 mins before 8:30 is 8:03

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Answer:

New points:

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Step-by-step explanation:

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Answers

Okay, suppose your income is about $100.

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RainbowSalt2222 ☔

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Answer:

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Step-by-step explanation:

12(x -2) +3x = 1/3(x +12) +10x

12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses

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Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format

Answers

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

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Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

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Answers

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A function is described in the form of f(x)

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f(-9) after substitution.

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Check the picture below.

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