Use the Chinese remainder theorem. Suppose we set
. Then clearly taken modulo 12, the second term vanishes, and incidentally
; taken modulo 13, the first term vanishes, but the second term leaves a remainder of 2. To counter this, we can multiply the second term by the inverse of 12 modulo 13, which is 12 since
.
So, we found that
, but the least positive solution is
, and in general we can have
for any integer
.
Now, since
, or
, we know that there are 32 possible integers
that satisfy the congruences.
Answer:
C
) translate ∠MRS down and to the right
Step-by-step explanation:
MN and JK are parallel and are intersected by line QT.
Since MN and JK are parallel and are intersected by line QT So, ∠MRS and ∠JST are corresponding angles
So, ∠MRS = ∠JST (Corresponding angles are equal)
Now transformation could be used to show that ∠MRS is congruent to ∠JST
So, Wee need to translate ∠MRS down and to the right
Then it will overlap ∠JST
So, Option C is true .
Answer B
Why is because Box B is near the 8 and goes on while Box A only is near 8 and stops there
To isolate b on one side of the equation, all you have to do is subtract mx from both sides, so the answer is
y-mx =b
