It requires 5 hours for Mary to paint a building. If she and Jack work
together, they can paint the same building in 3 hours. Find the time, in
hours, it would take Jack to the building alone.

7.5 hours

Step-by-step explanation:

Mary's rate of work is 1/5 and combined rate of work is 1/3 hence for Jack, the rate of work will be given by subtracting Mary's rate of work from the total. Therefore, Jack's rate of work is 1/3- 1/5=2/15

The number of hours is usually the reciprocal of the rate of work. Therefore, Jack's number of houra will be reciprocal of 2/15 which is equivalent to 15/2=7.5 hours

Therefore, Jack alone would take 7.5 hours to do the painting.

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.

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: