Alma reasoned that adding a rational number with an irrational number would give you a rational number. is alma correct? explain your reasoning using words and numbers.

Alma is incorrect in her statement.

Step-by-step explanation:

It was given that:

Alma reasoned that adding a rational number with an irrational number would give you a rational number.

she is incorrect as adding an rational number with an irrational number always gives an irrational number.

Example:

is an irrational number.

Where 4 is an rational number and is an irrational number and so adding both of them gives an irrational number.

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.

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step-by-step explanation: