The triangles ABC and DEC are similar triangles. We can prove this using the AA similarity theorem (angle A & angle D are congruent right angles; angle ACB & angle DCE are congruent vertical angles)
Because they are similar triangles, we can form the proportion below and solve for x to get...
AC/CD = BC/CE
2/5 = 3.61/x
2*x = 5*3.61
2*x = 18.05
2*x/2 = 18.05/2
x = 9.025
So EC is roughly 9.025 miles long
This means,
distance from Marc's house to Lewis's house = length of BE
distance from Marc's house to Lewis's house = (length of BC) + (length of EC)
distance from Marc's house to Lewis's house = (3.61) + (9.025)
distance from Marc's house to Lewis's house = 12.635
So the answer is choice D) 12.62 as this is the closest value to 12.635
Answer:
( - 2 - 5m ) / 3
Step-by-step explanation:
15m + 9n = - 6
9n = - 6 - 15m
Divide by 3 on both sides,
9n / 3 = - 6 / 3 - 15m / 3
3n = - 2 - 5m
n = ( - 2 - 5m ) / 3
Segment MN.
As P is in between MN
Radius PM
Radius PN
Connect both radius, you have diameter MN
Answer:
Yes
Step-by-step explanation:
a triangle with side lengths 3,4,5 is a right triangle since A^2 + B^2 = C^2. Therefore when its is multiples of all three numbers it is also a right triangle
