Answer:
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Answer:
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
- Two pairs of sides
- Each pair having two equal-length sides which are adjacent
- The angles being equal where the two pairs meet
- Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
Keywords: kite, quadrilateral
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First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...
L=h and R=10-1.5h where h is in hours....
The two flames meet when L=R so we can say:
h=10-1.5h add 1.5h to both sides
2.5h=10 divide both sides by 2.5
h=4
So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..
L=4
So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:
5-4=1"
So the flames meet 1 inch from the center.
Angle HEJ measures 15 degrees.