Which problem demonstrates the associative property of multiplication? (5.2 • 3.1) • 1.9 = 5.2 • (3.1 • 1.9)
5.2 (3.1 + 1.9) = (5.2 • 3.1) + (5.2 • 1.9)
(5.2 + 3.1) + 1.9 = 5.2 + (3.1 + 1.9)
5.2 + 1.9 + 3.1 = 10.2

5.2 (3.1 + 1.9) = (5.2 • 3.1) + (5.2 • 1.9)

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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.