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3 years ago

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

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Novosadov [1.4K]

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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