What is the value of the expression 1/7 ÷8 A 1/12 B 1/35 C 5/7 D 6/7
2 answers:
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Answer:
Attached diagram A'B'C'D'
Step-by-step explanation:
Given is a quadrilateral ABCD. It says to draw a dilated version with a scale factor 2/3.
We see that scale factor is less than 1 which means it shrinks the image to a smaller one.
To draw a scaled copy, we need to find the lengths of its sides.
To do so, we can draw the diagonals AC & BD, and they intersect at origin O(0,0) such that OA= -2, OB= 2, OC= 4, OD= -4.
Applying a scale factor of 2/3, we get OA' = -4/3, OB' = 4/3, OC' = 8/3, OD' = -8/3.
So we have attached a scaled copy A'B'C'D' of quadrilateral ABCD with a scale factor 2/3.
Answer:
See below
Step-by-step explanation:
We shall prove that for all . This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let , then we have
, and evidently,
.
Assume that is divisible by
for
. Then, by this assumption,
.
Now, let . Then:
Since , we may conclude, by the axiom of induction, that the property holds for all
.