Sum/difference:
Let
This means that
Now, assume that 
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
The answer to this query is AA similarity postulate. <span>
<span>Because the triangles given are only similar in angle but
dissimilar in sides which makes it incongruent with respect to the sides, AA
similarity postulate is the exact answer.
SAS ASA are not possible answers. </span></span>
30 because 30 times 1/6 is 5
Answer:
74
Step-by-step explanation:
