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Law Incorporation [45]
3 years ago
13

What additional information would prove that LMNP is

Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

Given

<u>Quadrilateral LMPN where:</u>

  • LM = 45
  • MN = 5
  • LP an MN have slope of -2 = LP║ MN
  • LM ║ PN
  • LP ∦ PN

All above information confirms that LMPN is parallelogram

<u>Missing information is </u>

  • LM ⊥ LP or LP ⊥ PN or LM ⊥ MN or MN ⊥ PN

With this additional information it is proved that the quadrilateral is rectangle

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At 7 a.m., the temperature was 48°F. By noon the temperature was 63°F. By how many degrees did the temperature increase?​
vfiekz [6]

Answer: 15 degrees

Step-by-step explanation:

6 0
3 years ago
Help please just right the ratio for all
Novosadov [1.4K]
1. 6 : 13
2. 2 : 13
3. 5 : 13
4. 13 : 6
5. 11 : 13
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Hope this helps.
4 0
2 years ago
At an amusement​ park, guests have to take either a train or a boat 14 miles from the parking lot to the front entrance and then
Sedaia [141]

Answer:

\frac{7}{6} hours

Step-by-step explanation:

Distance for one way = 14 miles

The boat goes an average speed of 20 mph

The train goes 10 mph faster than the boat.

Speed of train = 20+10 = 30 kmph

Abdul takes the train into the park and the boat on his way back.

Time taken for going into park by train = \frac{Distance}{\text{Speed of train}}

                                                                 = \frac{14}{30}

Time taken for going back by boat = \frac{Distance}{\text{Speed of train}}

                                                                 = \frac{14}{20}

So, total time =  \frac{14}{30}+\frac{14}{20}=\frac{7}{6} hours

Hence the round trip​ take \frac{7}{6} hours

3 0
3 years ago
On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct ans
alexgriva [62]

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

5 0
2 years ago
You are hosting a party. You are providing 3 food items. Each guest brings 2 food items. Write an equation in two variables that
myrzilka [38]

Answer:

y = 3 + 2x

Step-by-step explanation:

Let y = Total number of food items

Let x = Number of guests

y = 3 + 2x

Example:

If there are 14 guests, we have:

y = 3 + 2(14)

y = 3 + 28

y = 31

So the equation gives us a total number of 31 food items from both you and the guests.

7 0
3 years ago
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