Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas
1 answer:
Answer: The required number of books that Ruben had before purchases is 50.
Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.
We are to find the number of books that Ruben had before purchases.
Let x denotes the number of books that Ruben had before purchases.
Then, according to the given information, we have
Thus, the required number of books that Ruben had before purchases is 50.
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Answer:
From the graph attached, we know that by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate, and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and
together are 180°, because they are on a straight angle. That is,
If we substitute for
, we have
, which means that
and
are also supplementary by definition.
