Answer:
Step-by-step explanation:
The given postulate If two lines intersect, then they intersect in exactly one point is true because whenever the two lines intersect they intersect at one point only and we know that a postulate is a statement that we accept without proof.
The given theorem If two distinct planes intersect, then they intersect in exactly one line is true as theorem is a statement that has been proved and it has been proved that if two distinct planes intersect, then they intersect in exactly one line.
The figures are drawn to prove them.
Given:
Multiply both sides by 3/2, we get
Cancel out the common multiples, we get
The solution of the given equation is
or
Answer:
Step-by-step explanation:
A. Yes it repeats
When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.
Hence, the system of equations
x + 4y = 2
7x = 14
will also have a solution of (2, 0).
The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is: 
<u><em>Explanation</em></u>
Number of right answers is 
and number of wrong answers is 
Olga earns 12 points for each right answer and loses 4 points for each wrong answer.
So, total points earned for right answers 
and total points lost for wrong answers 
That means, <u>her score will be</u>: 
points.
In order to win the quiz contest, Olga must score <u>more than 400 points</u>. So, the inequality will be.......
