What must be the value of x so line a and b are parallel lines cut by transversal f?

Opposite exterior angles are congruent, so we can equate their measures and solve for x.

... 6x - 36 = 96

... x - 6 = 16 . . . . . . divide by 6

... x = 22 . . . . . . . . add 6

The value of x must be 22.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart