Answer:
The correct answer is;
No, the quadrilateral is not always a parallelogram
Step-by-step explanation:
Since there are only four opposite angles in a quadrilateral there are only two possible angle bisectors of the opposite angles also, the angle bisectors of a pair of opposite angles of a quadrilateral will intersect within the quadrilateral and therefore they cannot form the sides of a parallelogram
Therefore, the answer is no, the quadrilateral is not always a parallelogram.
4.72n - 0.1 = 8 + 0.67n
4.72n - 0.67n = 8 + 0.1
4.05n = 8.1
4.05n/4.05 = 8.1/4.05
n = 2
Answer:
25% of 60 is 15
75% of 30 is 22.5
50% of 45.7 22.85
50% of 60 30
100% of 22.5 is 22.5
75% of 60 is 45
10% of 22.5 2.25
Step-by-step explanation:
The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339
Answer:

Step-by-step explanation:
So, when there were 4 innings left, the score was 17 to 6 and Kim was losing.
Since the score was 17 to 6, in order for her to win, they must've scored <em>at least</em> another 12 points.
This is because we are told that the other team didn't score, so their final score is 17.
And for Kim to win, they must have more points, so their must've scored at least 12 points for their score to be 18.
And we also know that they scored the same per inning for the next four innings.
Thus, in an inequality, this is:

The score per inning times 4 innings must be greater than or equal to 12:
Further notes:
To solve, divide both sides by 4:

In other words, Kim's team must've scored at least 3 points per inning.
Also note that this solution include <em>only integers</em>, since you can't score 3.5 points.