What is the largest integer that will divide all the terms of 18x^2 and 12x^3

This is the GCF of 18 and 12. We can factor each into prime factors like so

18 = 2*3*3

12 = 2*2*3

In each factorization, we see exactly one copy of '2' and one copy of '3'. These values are in both factorizations at the same time. So that is why the GCF is 2*3 = 6. It is the largest whole number that goes into both 18 and 12.

Note: we ignore the second copy of '3' because 12 does not have two copies of '3'. A similar story happens with that second copy of '2'. GCF stands for "greatest common factor".

19.

step-by-step explanation:

you add the 9 in the tens column since it is a single digit and 9 plus zero is 9 so it is 19

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.