1. Using complete sentences, describe how angle relationships can be used to find the value of x In this figure. Then, find the
value of x, showing all of your work
2. Using complete sentences, describe how angle relationships can be used to find the value of y in this figure. Then, find the value of y, showing all of your work.
2. Using complete sentences, describe how angle relationships can be used to find the value of y in this figure. Then, find the value of y, showing all of your work.
2 answers:
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Answer:
First mechanic worked 20 hours and second mechanic worked 5 hours
Step-by-step explanation:
Let the number of hours the first mechanic worked =
Let the number of hours the second mechanic worked =
Therefore, we can write 2 equations and then solve them simultaneously:
Rearranging the first equation:
and substituting into the second equation to find :
Now sub into the first equation to find
Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours
Answer:
This is the same as writing y < (-1/2)x+3
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Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing
We shade below the dashed line to represent the inequality . Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.