Pecans cost $2.70 per kilogram. cashews
cost $2.50 per kilogram. the number of
kilograms of pecans is one more than the
number of kilograms of cashews. how many
kilograms of cashews are needed to make a
bag to sell at $28.70?

12kg

Step-by-step explanation:

$28.70 / $2.50 = 11.48kg —> 12kg

5 Kg

Step-by-step explanation:

Let:

The number of kilograms of pecan is x

The number of kilograms of cashew is y

2.7x + 2.5y = 28.7 Equation 1

x = y - 1 Equation 2

Put the values of y  

2.7(y - 1) + 2.5y = 28.7

2.7y + 2.7 + 2.5y = 28.7

5.2y = 26

y = 5 kg

h

step-by-step explanation:

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.