BC = 6 km
<u>/</u><u> </u> ACB = 34°
AC = ?
cos 34° =
=> 0.829 =
=> AC =
=> AC = 7.23763570567
=> AC = 7 km
=> AC = 10 km (nearest tenth)
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Mr. Lawton bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of sugar cookies, how many batches of
2 answers:
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In the given figure we can determine the coordinate of point M from the graph, we get:
We can also determine the coordinates of point N as:
Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:
Subtracting the fractions we get:
Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.
The coordinates of A are determined from the graph:
The coordinates of B are:
Therefore, the length of segment AB is:
Now we do the same procedure to determine the segment of CD. The coordinates of C are:
The coordinates of D are:
Therefore, CD is:
Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:
Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.