Answer:
B.
Step-by-step explanation:
First angle 1 and 2 add up to 180 and then angle 2 and 3 also add up to 180. So angle 2 is common hence both are congruent to each other.
Answer:
Greatest- 2 × 4/9
Then- 1 2/3 × 4/9
Then- 7/7 × 4/9
Lest- 3/4 × 4/9
Step-by-step explanation:
The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question
This is basically the form of a compounded interest. Honestly the best answer i can give is: plug it into your calculator.
I'll give you a few "do it by hand" tips. Simplify 0.08/2 into 0.04. Now you do 1.04 to the 12th power in your calculator. Multiply that buy 10,000 is your answer. 16010.32 is your answer. This means that
You put $10,000 into some sort of savings account that gave 0.04 interest rate. You leave it there to be compounded each year for 12 years. And now you have 16010 dollars instead of 10k. Not bad at all if you're patient. :)
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
Answer:
-7/3
Step-by-step explanation:
When finding slope from a graph, I always look for places where the graph crosses grid intersections. One of these is the y-intercept, (0, 40).
You have to go quite some distance to find another. It looks to me like the next grid crossing is at (30, -30). At this point, you can do either of two things:
- find the ratio of grid squares
- use the slope formula
What you want to calculate is the ratio of the change in vertical height (rise) to the change in horizontal distance (run). If you use grid squares, you need to make sure the grid has the same number of units horizontally as vertically. (Here a grid square is 10 units in each direction, so we're OK on that point.)
We have observed that the line falls 7 grid squares vertically for a change of 3 grid squares to the right. So, the slope using grid squares is ...
m = rise/run = -7/3
Using the slope formula, we calculate the slope to be ...
m = (y2 -y1)/(x2 -x1)
m = (-30 -40)/(30 -0) = -70/30 = -7/3
The slope of the line is -7/3.
