Which number produces an irrational number when multiplied by -1.25? (WORTH 12 POINTS!!)

A rational times an irrational is irrational.

Step-by-step explanation:

Let  x  be an irrational number and

be a rational number

We want to show that is irrational through contradiction:

Assume is rational. Rearranging, we get ;

which is a contradiction.

Therefore, a rational times an irrational is irrational.

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.

im alright what do you need

step-by-step explanation: