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skad [1K]
3 years ago
11

find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

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We can compute this in 2 ways:

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260 still air - 215 downwind = 45 mph wind velocity

Step-by-step explanation:

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cross multiply 9*20 then divide by 8


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The fastest speed at table tennis ball has been hit is 21.12 faster than the speed for the fastest swimmer. What is the speed fo
Juli2301 [7.4K]

Remark

You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.

The fastest speed I can find is 100 meters in 46.91 seconds.  That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.

Givens

Set up a proportion with the numbers found and given

Speed of ball / speed of swimmer = 21.12 / 1

Speed of ball = x

Solution

Speed of swimmer = 2.132 m/s

x / 2.132 = 21.12 / 1          Multiply Both sides by 2.132

x = 21.12 * 2.132 / 1

x = 45.02 m/s

Answer

45.02 m/s

8 0
3 years ago
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what is the value of the x variable in the solution to the following system of equations? 2x 2y = 6 x 3y = −1 a. −2 b. 2 c. 5 d.
tatuchka [14]
2x + 2y = 6 . . . . . (1)
x + 3y = -1 . . . . . (2)

(1) x 3 => 6x + 6y = 18 . . . . . (3)
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(3) - (4) => 4x = 20
x = 20/4 = 5
7 0
3 years ago
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