A = 9 and b = 6 are the two given sides
The third missing side n can be described through the following inequality
a-b < n < a+b
where a > b ('a' is larger than b)
This is the triangle inequality theorem
So,
a-b < n < a+b
9-6 < n < 9+6
3 < n < 15
Answer: 3 < n < 15
(which means you can pick any number from 3 to 15 for n. You cannot pick 3. You cannot pick 15)<span />
Since its a right triangle, you can use a² + b² = c²
one of the legs is a and the other leg is b it doesn't matter which one because its addition and works the same way c needs to be the hypotenuse
so its a² + 48² = 50²
a² + 2304 = 2500
- 2304 -2304
a² = 196
√a² = √196
a = 14
Answer:
Coordinates are in the form (x,y). This means you go x units along the x-axis and y units along the y-axis.
(8,0) means you go 8 along the x-axis, and 0 along the y-axis.
Notice that
so that for each power of 2, there is a pattern of period 4. This means that for integers
, each of
,
,
, and
have the same units digit.
We can write
, and since
, it follows that
and
share the same units digits. So the units digit of
is 8.