Rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
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What are rectangles?</h3>
- A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.
- It can also be classified as an equiangular quadrilateral because all of its angles are equal, or a parallelogram with a right angle.
- A square is a rectangle with four equal-length sides.
What to know about parallelogram and rectangle:
- They both have two sorts of parallel sides as well as two pairs of opposite sides that are said to be congruent. All of the properties of a parallelogram are said to be shared by a rectangle.
- This results in a rectangle and, invariably, a parallelogram.
- However, a parallelogram is not generally referred to as a rectangle.
- Option d, LP ⊥ PN as the supplementary information, would demonstrate that LMNP is a rectangle.
Therefore, rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
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The correct question is given below:
LMNP is a parallelogram.
What additional information would prove that LMNP is a rectangle?
A. The length of LM is √45 and the length of MN is √5.
B. The slope of LP and MN is –2.
C. LM ∥ PN
D. LP ⊥ PN
The missing number is 12. The sequence goes 7, 12, 17. If you subtract five from each number, you get the one before it.
This is a system of equation:
7y - 5x = 31
x = 4 - 2y
Plug in 4 - 2y for x
7y - 5(4 - 2y) = 31
Distribute -5 to both 4 and -2y
7y - 20 + 10y = 31
Simplify
17y - 20 = 31
Isolate the y. Note the equal sign. What you do to one side you do to the other. Do the opposite of PEMDAS.
Add 20 to both sides
17y - 20 (+20) = 31 (+20)
17y = 51
Divide 17 from both sides to isolate the y
17y/17 = 51/17
y = 51/17 or 3
y = 3
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Plug in 3 for y in one of the equations.
x=4−2y
x = 4 - 2(3)
Simplify.
x = 4 - 6
x = -2
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x = -2, y = 3 is your answer, or B)
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hope this helps
Answer:
its A
Step-by-step explanation: