What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12
That is not a trapezoid, it is a general quadrilateral. All 2-dimensional, 4-sided figures have an internal angle sum of 360 (triangles are 180). So if you assume angles P and Q are right, they are each equal to 90 degrees, for a total of 180.
Subtract: 360 - 180 = 180. We know that S + R must equal 180. If you subtract 180 - 65, you get 115, which is obtuse (greater than 90 degrees). This matches the drawing as the unknown angle is clearly greater than 90. So the answer is 115 degrees.
A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6
But we want to find 4+
So:
4+ = 4, 5, 6
We also want to find all odd possibilities.
So:
odd = 1, 3, 5
As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6
So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%
Hope I helped!
Sum of internal angles of any polygon is: (n-2)x180
So measure of an interior edge is ( ( n - 2 ) x 180 ) / n = 140
So 140n = 180n - 360
40n = 360
n = 9
So it's a nonagon.
Hope this helps :)
Answer:
Step-by-step explanation:
Let the smaller number be 
. Since they are consecutive even numbers, the larger number can be represented by 
.
Therefore, we have the following equation:
Thus, the larger number is 
