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Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
Using this formula, we get
Now,
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
Using the Pythagorean Theorem, the height of the equilateral triangle is given by:
A. inches.
The Pythagorean Theorem relates the length of the legs and
of a right triangle with the length of the hypotenuse h, according to the following equation:
For this problem, we have that:
- The height is one side of the triangle.
- The other side is half the length, of 7 in.
- The hypotenuse is the length, of 14 in.
Hence the height is found as follows:
inches.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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