You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.
The diagram shows that:
- Side AB = Side XY (sides with one tick mark)
- Side BC = Side YZ (sides with double tickmarks)
- Angle C = Angle Z (similar angle markers)
We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.
---------------
So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.
Hello there!
First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?
Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...
The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.
The are asking us how many pages does he reads per minute.
So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute
Cross multiply
0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11
So, Charlie reads 2.11 pages in 1 minute.
I hope this helps. Please let me know if you have questions about the answer.
Thanks!
#2
Change mixed numbers to improper fractions. Then change division to multiplication by the reciprocal.
1 1/2 divided by 3/5=
(3/2) * (5/3) = 5/2 = 2 1/2
#3
(5/9) divided by (5/3)
(5/9) * (3/5) =3/9 = 1/3
