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Olenka [21]
2 years ago
6

What additional information would prove that lmnp is a rectangle? the length of lm is startroot 45 endroot and the length of mn

is startroot 5 endroot. the slope of lp and mn is –2. lm ∥ pn lp ⊥ pn
Mathematics
1 answer:
cricket20 [7]2 years ago
6 0

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.

<h3>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.

Know more about rectangles here:

brainly.com/question/1549055

#SPJ4

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

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A business sells kicking tees by mail for 3 each the shipping charge is 5 the function p=n+5 shows how the number of tees n rela
melamori03 [73]

<u>Answer: </u>

When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

<u>Solution: </u>

Information provided in the question seems to be less . so assuming following two things.

1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.

2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is \frac{5}{3}

When you buy 2 tees , n = 2

Price = p = n+5 = 2+5 = 7

Shipping charges =( \frac{5}{3} ) x 2 = \frac{10}{3}

So total price you pay for two tees = 7 + (\frac{10}{3}) = 7 + 3.3333 = 10.3333 unit price.

When you buy three tees , n = 3  

Price = p = n+5 = 3+5 = 8

Shipping charges =( \frac{5}{3} ) x 3 = 5

So total price you pay for two tees = 8 + 5 = 13 unit price.

When you buy four tees, n = 4  

Price = p = n+5 = 4+5 = 9

Shipping charges =( \frac{5}{3} ) x 4 = \frac{20}{3}

So total price you pay for two tees = 9 + (\frac{20}{3}) = 47/3 = 15.667 unit price.

Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

3 0
3 years ago
The total cost of owning a home for 6 years is $120,000. The
Agata [3.3K]

After 6 years, the difference between owning the house and renting is $12,000.

<h3>What is the difference in owing and renting the house?</h3>

The first step is to determine the total cost of renting the house for six years.

Total cost of renting the house = rent per month x number of years x number of months in a year

1500 x 12 x 6 = $108,000

Difference = cost of owning - cost of renting

$120,000 - $108,000  = $12,000

To learn more about subtraction, please check: brainly.com/question/854115

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6 0
2 years ago
Which expression is equivalent to 6^2 times 6^6?<br> a. 6^8<br> b. (6^3)^5<br> c. 6^12<br> d. 6^8/6
ratelena [41]

Step-by-step explanation:

<u>Rule:</u>

When exponents multiply, they're adding.

<u>Multiply:</u>

{6}^{2}  \times  {6}^{6}  =  {6}^{2 + 6}  =  {6}^{8}

Option A is correct.

8 0
2 years ago
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