Camilla and Aisha are sisters and go to the same school. This
morning, Camilla decided to bike to school, and Aisha decided to
walk. They left home at the same time. Camilla’s speed was 6.5
miles per hour, and Aisha’s speed was 2 mph. When Camilla reached
the school, Aisha was 1.5 miles behind. How far away from their
house is the school?

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

42

step-by-step explanation: