Answer:
Parallel postulate : ALTERNATE INTERIOR ANGLES THEOREM.
Step-by-step explanation:
ALTERNATE INTERIOR ANGLES THEOREM : if a transversal cuts 2 parallel lines, then the alternate interior angles are said to be congruent.
( alternate interior angles : in the given figure, DCB and ABC are alternate interior angles.
ACB and CBD are another pair of alternate interior angles.)
[ theorem is an accepted truth or a verified correct statement already i.e, take protractor and measure it will be same in EVERY case. though i have provided the proof below..]
PROOF: since we know that vertically opposite angles will be congruent, so the angle vertically opposite to DCB will be same as DCB. ( refer attachment for vertically opposite angles) now, as corresponding angles will be congruent (see attachment to know what are corresponding angles), the angle vertically opposite to DCB and ABC are corresponding angles. therefore DCB and ABC are also equal
hence, ABC=DCB.
So 70 minus 25=45
45/4=11 because you can't burn 1/4 of a song on the disk
so 11 songs
Answer: Option A
Step-by-step explanation:
If we have 5 cans of ketchup they cost $ 5.25. Then the unit price of cans is what each can costs individually.
The unit price should then be less than $ 5.25, and that is the price for 5 cans and we want to know the price for just one can of ketchup.
Then to calculate the price of each can divide the price of the 5 cans by 5.
352 divided by 25 = 14.08 so technically 14 r 8
3(x-1)^2 +2
This is your answer in vertex form, your h and k values are the vertex. Solving the function by using b/2a, we get that h is 1. ( in the equation 3 is your a, 6 is b and 5 is c.). ( 6/2(3)) = 1. We can then plug in 1 as x into the original equation and get positive 2 ( 3(1)^2 -6(1) +5) = 3-6+5 = 2. This is your vertex. In the function, your a value will always stay the same as this is your shrink or stretch. In this case, a is 3 so it will go outside the parenthesis. Put that all together and you get the function above.
Hope this helps :)
