What is the measure of angle DEC?
1 answer:
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Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = .
But, = -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e.
So, the ratio is k : 1 i.e i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, = m where
i.e. m =
i.e. m =
i.e. m =
i.e. m = 5.
Hence, the value of m is 5.
Answer:
Step-by-step explanation:
Angle A and angle E are the same value, therefore you could replace angle E with angle A. So that would make a triangle with angle C, angle D, and angle A. Knowing the sum of all angles in a triangle is 180, we can make an equation representing this.
Now simply silve the equation to find x.
There is your answer.