Bis the midpoint of ac, d is the midpoint of ce, and bd=15. find ae

The length of AE is 30 units.

Step-by-step explanation:

Given that B is the mid point of AC and D is the mid-point of CE in ΔABC.

Also, BD=15 units

we have to find the length of AE

By mid-point theorem

The line joining the mid-points of two sides of triangle is parallel to third side and also half of the length of third side.

∴

Hence, the length of AE is 30 units.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.