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hammer [34]
3 years ago
7

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
5 0
If the triangles are similar, then the sides are proportionate and the bases are as well.  Set up the proportion like this, with side lengths on top and base lengths on bottom: \frac{4}{5}= \frac{12}{x}.  Cross multiply to get 4x = 60.  That means that x = 20.
SashulF [63]3 years ago
3 0

Answer:

A. 15

Step-by-step explanation:

We have been given that the triangles are similar by AA similarity postulate.

Since we know that corresponding sides of similar triangles are always proportional. Let us set proportions of corresponding sides equal to find the value of x.  

\frac{4}{4+8} =\frac{5}{x}    

\frac{4}{12} =\frac{5}{x}

Upon cross multiplying our equation we will get,

4x =12\cdot 5

x=\frac{12\cdot 5}{4}

x=3\cdot 5

x=15

Therefore, the value of x will be 15 and option A is the correct choice.

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Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
4 years ago
Read this E[2X^2 â€" Y].
djyliett [7]

Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.

If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:

E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]

Or, if you're given the expectation and variance of <em>X</em>, you have

Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²

→   E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

6 0
3 years ago
Help plssssssss<br> - Sorry it’s kinda a bad photo
MrMuchimi

Answer:

5

Step-by-step explanation:

Because if you divide them all you see that in 5 you don't get a whole number

6 0
3 years ago
Given the equation y=x^2-12x-5, convert to vertex form, then give the value of k
marishachu [46]

the answer os 5xx entendida

6 0
3 years ago
Solves the inequality. Write your final answer in interval notation:<br><br> -3(2x+1) &gt; -2(x+6)
3241004551 [841]

-3(2x+1) > -2(x+6)

-6x -3 > -2x - 12


-6x -3+6x > -2x - 12+6x


-3>4x-12


-3+12>4x-12+12

9 > 4x

4x<9

x<4/9


(-∞, 4/9)

7 0
3 years ago
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