Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
The length of the hypotenuse will be equal to H=122.25 when value of x=14.
<h3>What is pythagorean theorem?</h3>
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
It is given that:
Value of x=14
The perpendicular is =6x+5=6x14+5=89
The base is =6x=84
So by using the Pythagorean theorem:-

Hence the value of hypotenuse will be H=122.25
To know more about the Pythagorean theorem follow
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Answer:

Step-by-step explanation:
Given the information
- 4 containers of 4 different colors
- 1/3 of each color left over
- She had planted more than 2 1/2 of the original 4 containers
=> Total color were left = 1/3 x 4 = 4/3 of the original containers
=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers
However, 8/3 =
> 2
So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:
Hope it will find you well
Answer:
the 4th one
Step-by-step explanation:
i'm pretty sure that's right