Answer:
25
Step-by-step explanation:
Answer: BC is 9 units long
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Work Shown:
Let x be the length of segment BC.
BC is parallel to DE, so this means that triangle ABC is similar to triangle ADE.
Side AB pairs with side AD (both are horizontal sides of triangle ABC and triangle ADE respectively)
Side BC pairs with side DE (both are vertical sides of triangle ABC and triangle ADE respectively)
Because of those facts above, we can end up with this proportion
AB/AD = BC/DE
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Let's plug in the given values and isolate x
AB/AD = BC/DE
12/20 = x/15
12*15 = 20*x ... cross multiply
180 = 20x
20x = 180
20x/20 = 180/20 ... divide both sides by 20
x = 9
Segment BC is 9 units long.
note: There is no need to calculate the length of segment AE. Though you are correct in stating that AE = 25.
The total number of barrels on each trip=96
amount of quarts per barrel=30
The total amount of barrels picked on each trip will be:
96*30=2,880 quarts
The number of days required to pickup the barrels will be:
[total number of barrels]/[rate]
2880/13
=221.54 hours
but
1 day=24 hours
thus;
221.54 hrs=221.54/24 days=9.23 days
C: Only students who have recess at 12:00 p.m. or later may go outside.