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:
-11
Step-by-step explanation:
Triangle ABC
SO,
AB = AC +BC
x + 8 = 2x -5 + (BD + DC)
x + 8 = 2x-5 + 10 +14
x + 8 = 2x + 19
2x - x = -19 + 8
x = -11
Answer:
3rd option
Step-by-step explanation:
- 10 ≥ 6x - 4 ( add 4 to both sides )
- 6 ≥ 6x , then
6x ≤ - 6 ( divide both sides by 6 )
x ≤ - 1
Thus x = - 1 is a solution to the inequality
The mean is 102 and the standard deviation is 2.
The sample mean is equal to the population mean; the sample standard deviation is equal to
σ/√n = 10/(√25) = 2
Answer:
Infinate Solutions.
Step-by-step explanation:
