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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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

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Answer:

Step-by-step explanation:

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Answers

Answer: f(-9)

Step-by-step explanation:

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

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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:

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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:

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

Answer:

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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?
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do you have a picture of the line ?

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Answers

Answer:

True

Step-by-step explanation:

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Answer:

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X: (2,-3)

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Step-by-step explanation:

Rotate about the origin (0,0) counter clockwise 90 degrees

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Answer:

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Step-by-step explanation:

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Question 2 (Essay Worth 10 points)
(07.02 MC)
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Part B: What are the solutions to this equation? Show your work. (6 points)
ses
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22 23
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US
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Answers

Answer:

Part A: 1 solution

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Check the picture below.

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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