The weight of astronauts on Earth varies directly with their weight on the moon. A man weighing 185 pounds only weighs 29.6 pounds on the moon.
To the nearest pound, how much would a man weighing 26.1 pounds on
the moon weigh on Earth?
A. 42 lb
B. 59 lb
C. 163 lb
D. 165 lb

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.

sounds & other waves originate from any vibrating object

b is the right answer