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:
7.5 miles
Step-by-step explanation:
Half of 5 equals 2.5. Bobby already walked 5 miles so you add the 2.5 since he walked another half of that distance. 5 + 2.5 = 7.5
Answer:
16.76°
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.
We want to find the measure of <W.
We know side length that is adjacent and opposite to <W.
We can use the tangent ratio, to find the measure of <W.
The tangent ratio is opposite over hypotenuse.
Take tangent inverse to get:
Parallel lines have equal slope so
Lets check
Now
Lines are parallel
