Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by

To find
(the common difference) we can simply subtract one of the terms by the last, for example:

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

We also have to know that
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term

Good luck!
Answer:
45
Step-by-step explanation:
KL- because triangle is a isosceles
(base angles are congruent)
Answer:

Step-by-step explanation:
Since we know that you write 17 text messages a week. 17 will be our constant number, now then after you said for x weeks.
Meaning that x would be our variable cause we can put an input of any number, then put it next to 17 because that is how many times you text a week.
17x = y
17 (how many times you text per week) x (how many weeks) = y (texts in total)
We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials