Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
Notice how 2^2 = 4 is one short of 5, so this means we can say 4/5 = 0 remainder 4 or we can write that "remainder 4" as "remainder -1" to say the same basic thing
Using modulus arithmetic, we can say...
2^2 = 4 = -1 (mod 5)
(2^2)^31 = (-1)^31 = -1 (mod 5)
2*(2^2)^31 = 2*(-1) (mod 5)
2^63 = -2 = 3 (mod 5)
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So the remainder of 2^63 divided by 5 is the value 3
Answer: 3
<u>Answer:</u>
ΔLNM is proved as isosceles triangle. Below for explanation.
<u>Step-by-step explanation:</u>
We know that:
- AMBX = Square
- Squares have equal sides
Since AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.
- Side of square + Extra length = Side of triangle
This can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.
Hoped this helped!
