What is the most precise name for quadrilateral abcd with vertices a(−1,0), b(4,0), c(5,4), and d(0,4)?

parallelogram

Step-by-step explanation:

Plot the points on a coordinate plane.

You will see that it is a quadrilateral with 2 pairs of opposite sides parallel. That makes it a parallelogram. Also you will see that adjacent sides are not congruent, so it is not a rhombus. It has no right angles, so it is not a rectangle.

parallelogram

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+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x