Deduction is a term used as inference to a known and validated principle. This is when you analyze points through logic from a given set of rules and conditions. You relate how the situation may conform to the rules. Thus. there is no wrong deduction. If you analyze it to be true, then that must be definitely correct. Therefore, the answer is letter B. What must be true.
Answer:7=0.5 |x-4| -3
+3 +3
10=0.5 |x-4|
10/0.5=0.5/0.5 |x-4|
20=|x-4|
^
-20=x-4 20=x-4
+4 +4 +4 +4
-16=x 24=x
The answers are -16=x and 24=x
Hope this helps, an if it pleases you put as the brainliest answer
Answer:−9a+10b−23
Step-by-step explanation:−9a+3b−a+7b−13+a−10
Combine −9a and −a to get −10a.
−10a+3b+7b−13+a−10
Combine 3b and 7b to get 10b.
−10a+10b−13+a−10
Combine −10a and a to get −9a.
−9a+10b−13−10
Subtract 10 from −13 to get −23.
−9a+10b−23
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
All you have to do is put the walking amount in for w and basketball in for b. Do it for all of these, if it is less than 400 or greater than 600, it is not a solution.
(4 x 40) + (5 x 40) = 360 so reject because it is less than 400.
I'll let you do the rest.