The slope is 3/2(
0,4) and (2,7) the distance is 3 rising and 2 to the side. Remember rise over run so I would be 3/2
THe given statement is " the measures of an exterior angle and the adjacent interior angle add up to 360 because they form a linear pair " .
And in a linear pair, the sum of the measures of exterior angle and adjacent interior angle is 180.
But in the statement, it is given that the sum is 360 degree.
So the given statement is false .
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
Answer:
Step-by-step explanation:
<h3>
Answer: Choice D) 2 & 1/2</h3>
Work Shown:
Length of AC = 10-4 = 6 units (I'm subtracting the x coordinates)
Length of A'C' = 25-10 = 15 units
Scale factor = (A'C')/(AC) = 15/6 = 5/2 = 2.5 = 2 & 1/2
Triangle A'B'C' has side lengths that are 2 & 1/2 times longer compared to the corresponding sides of triangle ABC.
