The figure shows triangle pqr and line segment ab, which is parallel to qr:
triangle pqr has a point a on side pq and point b on side pr. the line ab is parallel to the line qr.

part a: is triangle pqr similar to triangle pab? explain using what you know about triangle similarity. (5 points)

part b: which line segment on triangle pab corresponds to line segment qr? explain your answer. (3 points)

part c: which angle on triangle pab corresponds to angle q? explain your answer. (2 points)

(i need on b. i already know a and c)

Is this the correct answer?

ratio is 2 : 9

the answer is three

13.5 : 3

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.