James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam. During this time, he has read a total of StartFraction 6 Over 7 EndFraction of the book. What fraction of the book did he read each night?

3/28

Step-by-step explanation:

James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam.

The total fraction of the book he read in 8 nights = 6/7

Hence,

8 nights = 6/7

1 night = x

Cross Multiply

8x = 6/7 × 1

x = 6/7 ÷ 8

x = 6/7 × 1/8

x = 3/28

Therefore, every night, the fraction of the book he has read is 3/28

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.