Roberto paints 1/6 of a room in 1 hour.
Julio paints1/8 of a room in 1 hour.
Working together, they paint (1/6 + 1/8) = (4/24 + 3/24) = 7/24 room per hour.
The reciprocal unit rate is 24/7 hour per room = <em>3-3/7 hours</em> per room.
Step-by-step explanation:
We have been given that AE=BE and
.
We can see that angle CEA is vertical angle of angle DEB, therefore,
as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.


or
Therefore,
by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.
Let's answer this step-by-step.
First of all, let's estsblish the original price of the commodity as being 100%. Therefore:
Original price of commodity = 100%
Then, when A sold the commodity to B, it was sold at a 10% profit. Therefore:
Price of commidity when A sold to B:
100% x 1.1 = 110%
After that, when B sold it back to A, it was sold at a 10% loss. Therefore:
Price of commodity when B sold to A:
110% x 0.9 = 99%
Hence, A now has 99% of the original value of the commidity.