A triangle interior angles add up to 180
so we have 3:4:5
the ratio of the angles
3+4+5=12
therefor 180=12 units
divide by 12
15=1 unit
subsitute
find the smallest unit
3
3 times 15=45
answer is 45 degrees
Answer:
There are 2 points for a field goal, and 1 point for a free throw. ... It is also given that, you have scored at least 3 points in every ...
Hey there! :D
To find a vertex on a graph, you would need to look at where the line stops. This place where there is a distinct curve or stopping point and at least one line is going infinity in one direction is the vertex. The graph is much easier than any other method, because it is visual. If I was looking at the vertex on a table, I would see (especially on a quadratic) if there was a pattern to the points. Most points are opposite of each other, so it can be helpful to look at a pattern. In an equation, a parent function can help to see where the vertex is, as well (for quadratics) finding the line of symmetry with the equation to find the vertex. (-b/2a) The strategies are very different, some are easier than others. For example, I would much rather look at a graph for a vertex then do an equation to find it. Some involve looking, seeing a pattern, and others solving. They are all very different but can all be extremely helpful!
I hope this helps!
~kaikers
Answer:
See attached. (Note that b, d, f, h, j are cents amounts. All the other letters refer to the dollar amounts only (no cents).)
Step-by-step explanation:
The one deposit is marked with a (+) in the third column of Figure 4.16a. All the other transactions are Payment/Debit transactions. The balance on each line is the balance on the previous line less any payment and plus any deposit on that line. (It's not rocket science.)
If you actually do this in a spreadsheet, it is convenient to let the spreadsheet do the math. It is much easier to let the spreadsheet keep track of dollars and cents in the same column.
It is more difficult to break out cents to a separate column. So, your letter answers apparently need to be the dollar portion only (except as indicated above).
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
