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3 years ago

Which statements must be true?

Mathematics

1 answer:

Lorico [155]3 years ago

6 0

Take a look at the picture and note that the same tick marks represent that they are congruent parts.

A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.

B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.

C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.

D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.

E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.

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Qual o valor de Pi ?

Igoryamba

<h2>Hello my friend.</h2>

The Pi value is approximately equal to 3.14.

<h2>I hope I have helped a lot.</h2>

3 0

3 years ago

25/4=x/10 <br>please help thanks

Marta_Voda [28]

Answer:

125/2 or 62.5 or 62 1/2 (x=)

Step-by-step explanation:

25/4=x/10 multiply everything by 20

25*20/4=20x/10 simplify

25*5=2x simplify

125=2x divide on both sides

125/2 or 62.5 or 62 1/2=x

7 0

3 years ago

Ill give brainliest to the correct answer

Alexxandr [17]

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

3 0

2 years ago

Pls help! will give brainliest

IrinaVladis [17]

7) D -80

8) C -3.3

9) A 127.6

6 0

3 years ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of <em>X</em> is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable <em>X</em> as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

3 years ago