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1 answer:
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that . 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have
. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides
as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
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If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units
The formula for calculating the midpoint is expressed as;
For the x-coordinate points:
X = -3+x/2
4 * 2 = -3 + x
8 = -3 + x
x = 8 + 3
x = 11
Get the value of y;
2 = y+6/2
y+6 = 2 * 2
y + 6 = 4
y = 4 - 6
y = -2
Hence the coordinates of D and E are D(-3, -2) and E(11, 6)
Hence the length of DE is 16.12 units
Learn more here; brainly.com/question/22624745