The length of ad would also have to be the three also. This is logically because ac and bd would be the two going across making them equal. This meaning to connect the lines together if they were parallel bc and ad lengths would be equivalent.
James will end up with his original t cars and half of (t+13) cars, so will have ...
... t + (t+13/2) = (3t +13)/2 . . . . cars James has after Paul's gift
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.
f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method

We take half of square of middle term
middle term is 12
Half of square of 12 is
then 6^2 = 36
Add and subtract 36 to complete the square


The vertex form 
Answer:
Hi! This is the answer for part C, or finding the factors.
Step-by-step explanation:
Checked by my teacher. hope this part helps. Will post the rest soon.