The answer to: expand and simplify 3x + 2 (x +5)
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Since ABCD is a parallelogram, the opposite sides will be parallel and equal,
Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,
So by the ASA criteria, the triangle AED is congruent to the triangle CEB,
Then the corresponding parts of the triangles will be equal,
Hence Proved.
Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. . We cross-multiply to get
. Taking the square root of both sides gives us that
, the second choice above.