There were 512 cups of water in a cooler before a soccer game. after the soccer game there were 384 cups of water in the cooler. there are 16 cups in a gallon. which one of the following statements is true? a. the quotient 512/16 = 32 means that 32 gallons of water were used during the soccer game. b. the quotient 384/16 = 24 means that 24 gallons of water were used during the soccer game. c. the quotient 128/16 = 8 means that 8 gallons of water were used during the soccer game. d. the quotient 384/512 = 3/4 means that 3/4 gallon of water was used during the soccer game.

C

Step-by-step explanation:

you need to find how many cups of water were used in the game:

512-384=128

and then you can begin to calculate the number after that:

128/16=8(gallons)

hope it'll help! have a good day!

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.