Theorem: If two<span> angles of a </span>triangle<span> are not </span>congruent<span>, </span>then<span> the </span>sides<span> opposite them are not </span>congruent<span>, and the longer </span>side<span> is opposite the larger angle. </span>Two<span> ways to prove that a </span>triangle<span> is isosceles </span>If<span> at least </span>two sides of a triangle are congruent,then<span> the </span>triangle<span> is isosceles</span>
Step-by-step explanation:
You said the other one would be the last haha just kidding I'm glad to help.
16. 
First, get rid of that parenthesis.
Now multiply both sides by 2 so that you can isolate k
19. 
This is a pretty easy one. If you didn't know, 121/11 is actually 11 :)
Simply multiply by 3 to isolate r :)
Answer:
y = 8
Step-by-step explanation:
-4(3) = -12
to get -12 to 12 you need to add 24 to -12 to make it 12.
so 3 (8) = 24
so -12 + 24 =12
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Answer:
-1/3
Step-by-step explanation:
if we use the rise over run method we see a fall of 1 and a run of 3. since we are using fall instead of rise that makes this slope negative. hope this helped :)
