Answer:
23
Step-by-step explanation:
You can use Euler's method to find the GCF of these values:
(9n -2) mod (7n +3) = 2n -5
(7n +3) mod (2n -5) = n +18
(2n -5) mod (n +18) = n -23
We want this to be zero, so n = 23. (Note that none of the other remainders are zero for any positive integer n.)
The smallest positive integer n for which (9n-2) and (7n+3) share a common factor is 23. (Their common factor is 41.)
_____
<em>Check</em>
9(23) -2 = 205 = 5×41
7(23) +3 = 164 = 4×41
Answer:
B. right
Step-by-step explanation:
Assuming one side of the triangle is the diameter of the semicircle, the triangle will always be a right triangle. (This is a useful fact to remember.)
When x = 4 and we have 12+x/4+x we can substitute 4 in for x.
12+4/4+4 = 12 + 1 + 4 = 17
The first picture would be choice answer c because the number of x's represent how many birds wings are this size. The number on the tic mark represents the size of the wing span. So you would take the number of x's times the tic mark represented under it. There are 3 birds with 3 1/8 wingspan so it wold be 3 1/8 *3. Hoped this helps for the first one!
