The diagonals of quadrilateral ABCD intersect at point E, AE=5x-10,EC=2x+5, and BE= y/3.. If ABCD is a square, find the value of
y. A. 5 B. 15 C. 30 D. 45
2 answers:
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Option D: is the solution to the inequalities.
Explanation:
From the given graph, we can see that the equation of the inequalities are
and
To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities and
Thus, we have,
Option A:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option A is not the correct answer.
Option B:
Substituting the coordinates in and
, we get,
is not true.
is not true.
Since, both the equations does not satisfy the condition, the coordinate is not a solution.
Hence, Option B is not the correct answer.
Option C:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option C is not the correct answer.
Option D:
Substituting the coordinates in and
, we get,
is true.
is true.
Since, both equation satisfies the condition, the coordinate is a solution.
Hence, Option D is the correct answer.