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ASHA 777 [7]
3 years ago
9

Which of the following is the measure of QRS

Mathematics
2 answers:
tamaranim1 [39]3 years ago
5 0
90° because it’s marked as a right triangle
Hope this helps !!
Gekata [30.6K]3 years ago
4 0

Answer:

The answer is D.90°

Step-by-step explanation:

In this case, every measure has to be defined by three points and the vertex of this measure is in the middle point. The angle that is formed between two rays with the same endpoint is measured in degrees. The extreme points form the rays and the middle point is the vertex.

For example, if we want to know the measure ∠ABC, we have to located the points A, B and C, in the same order. Then the rays are in the same direction that A and C, and vertex will be in the point B (the middle one).

Also, there are some definitions for different range of angle measure. I have attached an image that show some definitions.

Finally, the measure ∠QRS corresponds to a right angle (It has the same notation that in the attached image).

Therefore, the measure ∠QRS is 90°

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NEED HELP FAST<br> 30nPOINTS FOR BRAINLIEST<br><br><br> √5x + √6 = √9
vodka [1.7K]

\sqrt{5x} + √6 = √9


The first step is to get \sqrt{5x} by itself. We can do this by subtracting \sqrt{6} from each side, and simplifying \sqrt{9}


\sqrt{5x} = 3 - \sqrt{6}


Now we square both sides


5x = (3 - \sqrt{6})²


Using the formula (a - b)² = a² -2ab + b², (3 - \sqrt{6})² = 15 - 6\sqrt{6}


5x = 15 - 6\sqrt{6}


x = \frac{15 - 6\sqrt{6}}{5}

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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Answer:

  • x = 15/p
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Step-by-step explanation:

<u>Given expression</u>

  • 4(px+1)=64

<u>Solving for x</u>

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Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number
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Step-by-step explanation:

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The drama club sells sweatshirts for $9 dollars each to raise money for their club.
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Step-by-step explanation:

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Let X be a random variable with probability mass function P(X = 1) = 1 2 , P(X = 2) = 1 3 , P(X = 5) = 1 6 (a) Find a function g
Goryan [66]

The question is incomplete. The complete question is :

Let X be a random variable with probability mass function

P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6

(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.

(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)

Solution :

Given :

$P(X=1)=\frac{1}{2}, P(X=2)=\frac{1}{3}, P(X=5)=\frac{1}{6}$

a). We know :

    $E[g(x)] = \sum g(x)p(x)$

So,  $g(1).P(X=1) + g(2).P(X=2)+g(5).P(X=5) = \frac{1}{3} \ln (2) + \frac{1}{6} \ln(5)$

       $g(1).\frac{1}{2} + g(2).\frac{1}{3}+g(5).\frac{1}{6} = \frac{1}{3} \ln (2) + \frac{1}{6} \ln (5)$

Therefore comparing both the sides,

$g(2) = \ln (2), g(5) = \ln(5), g(1) = 0 = \ln(1)$

$g(X) = \ln(x)$

Also,  $g(1) =\ln(1)=0, g(2)= \ln(2) = 0.6931, g(5) = \ln(5) = 1.6094$

b).

We known that $E[g(x)] = \sum g(x)p(x)$

∴ $g(1).P(X=1) +g(2).P(X=2)+g(5).P(X=5) = \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$

   $g(1).\frac{1}{2} +g(2).\frac{1}{3}+g(5).\frac{1}{6 }= \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$$

Therefore on comparing, we get

$g(1)=e^t, g(2)=2e^{2t}, g(5)=5e^{5t}$

∴ $g(X) = xe^{tx}$

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2 years ago
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