54=.9x Solve for x. x=54/.9=60
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.
Answer:
x = 12 ( two points shots )
y = 7 ( three points shots )
Step-by-step explanation:
Let´s call "x" two points shots, and "y" three points shots, then
x + y = 19
2*x + 3*y = 45
We have to solve a two-equation system for x and y
y = 19 - x
2*x + 3 * ( 19 - x ) = 45
2*x + 57 - 3*x = 45
- x = 45 - 57
-x = - 12
x = 12
And y = 19 - 12
y = 7
Answer:
20
Step-by-step explanation:
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