There are two numbers and the first is larger than the second, Three times the larger number plus the smaller number is forty, Twice the smaller number
plus one is equal to the larger number. Find both numbers,

the smaller number is 37/7, the larger one is 81/7

Step-by-step explanation:

Assume the smaller one is x, and the bigger one is y. Then we got that x+3y=40, 2x+1=y.

from y=2x+1, we can replace y in "x+3y=40" with "2x+1".

x+3(2x+1)=40, so x=37/7

y=2x+1=81/7

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.