Vicky came home from the matinee at 5:45 p. M. The travel time to and from the cinema was 1/2 hour each way. She spent 2 1/4 hours at the cinema. What time did she leave home.

2:30 pm

Step-by-step explanation:

Going backward, since he spent 1/2 hour  - 30minutes from the cinema to home.

5:45 - 30 = 5:15pm.

5:15pm was when the movie finished.

The movie lasted for 2 1/4 hours   = 2 hours, 1/4 hours -15 minutes

So the movie lasted for 2 hours, 15 minutes.

5: 15 - 2: 15 = 3:00pm

And it took him another 1/2 hours to cinema from his house

3:00pm - 30minutes = 2:30pm

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,