A jar black beans and pinto beans in a ratio of 1 : 4, and 180 of the beans are black beans. How many beans in total are there in the jar?

720 beans in total

Step-by-step explanation:

I would set this up with proportions, so-

1             180

4             x

Then cross multiply-

4 x 180 = 720

Divide-

720/1 = 720

720 is your answer

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.