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3 years ago

HELP DUE IN 15 MINS! ΔLMN ~ ΔPQR. Which of the following sets of side lengths could be those of ΔLMN?

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

D. 9 cm, 12 cm, 15 cm

Step-by-step explanation:

Given

ΔLMN ~ ΔPQR

ΔPQR has sides ratio 3 : 4 : 5

ΔLMN should also have same ratio and the ratio of corresponding sides should be same.

Let's verify the options:

A. 2 : 3: 4

2/3 = 3/4 = 4/5 - this is incorrect

B. 6 : 7 : 8

6/3 = 7/4 = 8/5 - this is incorrect

C. 8 : 15 : 17

8/3 = 15/4 = 17/5 - this is incorrect

D. 9 : 12 : 15

9/3 = 12/4 = 15/5 = 3 - this is correct

yulyashka [42]3 years ago

3 0

Answer: D.

Step-by-step explanation:

If the triangle PQR has sides from biggest to smallest 3,4,5 we need another triangle with a similar ratio to compare it to.

9/3= 3 12/3=4 15/3=5

So the answer is D because I can divide all the sides of the new triangle by the same number to get the sides of triangle PQR

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3 years ago

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Tom [10]

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3 years ago

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Lerok [7]

Answer:

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Step-by-step explanation:

Triangle x2]

(5 x 6) / 2

Rectangle x3]

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Your answer is 150cm square.

But you do not have that option so I would pick the closes one if I were you. Have a good day.

4 0

3 years ago

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

$W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}$

We will use $\phi$ , the cummulative distribution function of W. The values of $\phi$ are well known and the can be found in the attached file

$P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599$

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf

7 0

3 years ago

Can you answer this one for my plz I need before Monday ty

ira [324]

Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5

The vertex is (-2, 5).
The axis of symmetry is x = -2.

7 0

3 years ago