Ben uses a compass and straightedge to bisect segment PQ, as shown: segment PQ with compass open to greater than half of segment
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Answer:
B.
Step-by-step explanation:
Let l represent length of rectangle and w represent width of rectangle.
We have been given four formulas for the perimeter of rectangle. We are asked to choose the formula that displays a common student error for finding the perimeter.
We know that perimeter of a polygon is sum of all sides of the polygon. We also know that rectangle is polygon having two sets of equal sides.
The perimeter, P, of rectangle will be sum of its all sides that is:
Combine like terms:
Factor out 2:
Upon looking at our given choices, we can see that formula represented by option B displays a common student error for finding the perimeter.
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.