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mash [69]
3 years ago
11

Can somebody please explain how to do this please? (5 points)

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Look at the picture.

∠2 and ∠3 are Corresponding Angles. j || k, thereofre m∠2 = m∠3.

∠1 and ∠3 are supplementary angles, therefore m∠1 + m∠3 = 108°.

m∠1 = 10x + 4, m∠2 = m∠3 = 4x - 6. Therefore we have the equation:

(10x + 4) + (4x - 6) = 180

(10x + 4x) + (4 - 6) = 180

14x - 2 = 180     <em>add 2 to both sides</em>

14x = 182     <em>divide both sides by 14</em>

x = 13

10x + 4 = 10(13) + 4 = 130 + 4 = 134

4x - 6 = 4(13) - 6 = 52 - 6 = 46

<h3>Answer x = 13, m∠1 = 134°, m∠2 = 46°</h3>

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Step-by-step explanation:

5 0
3 years ago
Solve -7/3(12s+24)+14=-14
Citrus2011 [14]

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s = -1

Step-by-step explanation:

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8 0
2 years ago
Hey can you please help me posted picture of question
Ira Lisetskai [31]
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40x² + 65x + 25

Explanation:
We will just multiply each term from the first bracket by each term from the second and then combine like terms to get the final expression.

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(5x + 5)(8x + 5)
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6 0
3 years ago
One hundred items are simultaneously put on a life test. Suppose the lifetimes
romanna [79]

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

7 0
3 years ago
Anbody plesssse help me
algol13
11: B
12: C
They are both supplementary angles meaning they add to 180 degrees
5 0
3 years ago
Read 2 more answers
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