In the following diagram BC is parallel to DE. What is the mesure of x?
2 answers:
Answer:
OK wait I have no clue I would be able to help you but you have to put in the "Diagram" so I can solve for all angles, anyways it's been 10 minutes but I found where this question came from: Khan Academy 8th grade illustrative unit 1 lesson 16 Parallel lines and the angles in a triangle, the graph I see has an answer of 37
Step-by-step explanation:
Answer is correct on Khan Academy:
Solve for angle c 41+102=143 180 degrees in a full triangle so you need to do
180-143 to get 37 NOW 37 is the right answer I have put in a lot of effort to get this answer to you anyways to prove it is right 3 ways I will test it by finding the value of every angle and here is the math for that 37+37+102+41+143
A=143 because 102+41 angle DB is 43 because there is one line intersecting the two parallel lines, this means that the angle is also using the same two lines is also 41.
Then 37 was the only two numbers that could be added to get the full 360.
Answer: 37
Here is a screenshot =D
This was a lot of effort for one 8th grader so if this is sloppy please forgive me.
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Answer:
- $20,000 at 8.5%
- $10,000 at 10%
Step-by-step explanation:
There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).
The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%
The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...
0.5%/1.5% = 1/3
This is the fraction of the total investment that was invested at the higher interest rate:
(1/3)×$30,000 = $10,000 . . . . was invested at 10%
Then the remaining amount, $20,000, was invested at 8.5%.
___
If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...
10%(x) +8.5%(30,000 -x) = 2700
x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)
x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x
We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:
This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.
Answer:
<h2>14</h2>Step-by-step explanation:
Look at the picture.
