Answer:
All parallelograms have at least 1 parallel side.(Rectangles,squares,rhombuses,etc.)Trapezoids also have parallel sides.
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Attached Picture...
a.
By Fermat's little theorem, we have
5 and 7 are both prime, so and . By Euler's theorem, we get
Now we can use the Chinese remainder theorem to solve for . Start with
- Taken mod 5, the second term vanishes and . Multiply by the inverse of 4 mod 5 (4), then by 2.
- Taken mod 7, the first term vanishes and . Multiply by the inverse of 2 mod 7 (4), then by 6.
b.
We have , so by Euler's theorem,
Now, raising both sides of the original congruence to the power of 6 gives
Then multiplying both sides by gives
so that is the inverse of 25 mod 64. To find this inverse, solve for in . Using the Euclidean algorithm, we have
64 = 2*25 + 14
25 = 1*14 + 11
14 = 1*11 + 3
11 = 3*3 + 2
3 = 1*2 + 1
=> 1 = 9*64 - 23*25
so that .
So we know
Squaring both sides of this gives
and multiplying both sides by tells us
Use the Euclidean algorithm to solve for .
64 = 3*17 + 13
17 = 1*13 + 4
13 = 3*4 + 1
=> 1 = 4*64 - 15*17
so that , and so
9514 1404 393
Answer:
$81
Step-by-step explanation:
The garden is 4 yards = 12 feet by 3 yards = 9 feet. The area of it is the product of these dimensions, ...
(12 ft)(9 ft) = 108 ft²
The cost of fertilizer for that area will be ...
($0.75/ft²)(108 ft²) = $81.00
They will spend $81.00 to fertilize the garden.