What would been the volume?
1 answer:
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Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
9514 1404 393
Answer:
slope = 1
Step-by-step explanation:
In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:
slope = rise/run = 3/3
slope = 1
_____
It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.
Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.
