The correct answer here is A because it asks to prove congruence. Since we know line ST is the BISECTOR of PR, we know that Q is the middle point and indeed PQ and RQ are congruent lines.
Answer:
27 15/28 degrees
Step-by-step explanation:
Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.
1*4=4 1*7=7
2*4=8 2*7=14
3*4=12 3*7=21
4*4=16 <u>4*7=28</u>
5*4=20
6*4=24
<u>7*4=28</u>
Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.
8/28 + 7/28=15/28
For our last step, we need to add the whole numbers together so the answer is complete.
21+6=27
27+15/28= 27 15/28 degrees
Step-by-step explanation:
P(t) = 8 − 2√(2t + 4)
The x-intercept(s) is where t = 0.
P(0) = 8 − 2√(0 + 4)
P(0) = 8 − 4
P(0) = 4
The y-intercept(s) is where P = 0.
0 = 8 − 2√(2t + 4)
2√(2t + 4) = 8
√(2t + 4) = 4
2t + 4 = 16
2t = 12
t = 6
So the intercepts are at (0, 4) and (6, 0).
The easiest way to tell if the function is increasing or decreasing is to graph it. Otherwise, we have to either use calculus to find the derivative, or assume the function is constantly increasing/decreasing and use limits.
lim(t→∞) P(t) = -∞
The function is decreasing.
The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.
Thus, (6x+1) + (5x-17) + (9x-24) = 180.
20x = -40, so x = -2 (answer)
