1. solve for y. -5y - 9 = -(y-1) a. -1/2 b. -2 1/2 c. -2 d. -2/5 2. use an algebraic equation to solve the problem. a rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest tenth of necessary. a. 7.5 cm by 22.5 cm b. 7.5 cm by 52.5 cm c. 20 cm by 60 cm d. 15 cm by 22.5 cm 3. is the following always, sometimes, or never true? 14 + 3x - 7 = 7x + 7 - 4x a. always b. sometimes c. never

yes yes yes yes yes yes yes yes yes

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.