Which of the following shows the correct order of the numbers below?

(1/2)^2, 2/3 , 0.45

a.) (1/2)^2 < 0.45 < 2/3
b.) (1/2)^2 < 2/3 < 0.45
c.) 0.45 < (1/2)^2 < 2/3

a.

Step-by-step explanation:

Given numbers:

Simplify them in like decimals .

Clearly we can see which is equivalent to

Therefore the correct order of the numbers is

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.

me

step-by-step explanation: