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3 years ago

Find the value of each variable.

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

x = 3

y = 6

Step-by-step explanation:

Apply the angle bisector theorem to find both variables.

Based on the theorem, we would have the following:

✔️x/2 = 6/4

Cross multiply

x*4 = 6*2

4x = 12

4x/4 = 12/4

x = 3

✔️9/y = 3/(8 - y)

Cross multiply

9(8 - y) = 3*y

72 - 9y = 3y

72 = 3y + 9y

72 = 12y

72/12 = 12y/12

6 = y

y = 6

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In the isosceles trapezoid below, x = [ ? ]° 5x+15° 7x-11°

omeli [17]

Answer:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

Step-by-step explanation:

3 0

3 years ago

Question is attached.

lions [1.4K]

1. a
2. c
3. b
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8 0

3 years ago

Given right triangle JKL what is the value of cos(L)?

NemiM [27]

For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA.
sin angle = opposite side / hypotenuse
cosine angle = adjacent side / hypotenuse
tangent angle = opposite side / adjacent side

If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
cos (L) = j/k

8 0

3 years ago

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm

GuDViN [60]

Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

$P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}$

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

$P(x \ \textless \ 3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \ 3) \approx 0.00951836732 }
$

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.

5 0

3 years ago

If x = - 4 , the value of y = - 6x

Klio2033 [76]

Answer:

y = 24

Step-by-step explanation:

Step 1:

y = - 6x Equation

Step 2:

x = - 4 Given

Step 3:

y = - 6 ( - 4 ) Input x value

Answer:

y = 24

Hope This Helps :)

4 0

3 years ago