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3 years ago

In the image below, lines n and mare parallel. What is the measure of angle 4?

Mathematics

2 answers:

Marina CMI [18]3 years ago

6 0

I believe it’s a.98
You subtract the 82° from 180, and get 98.

Serhud [2]3 years ago

5 0

Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

$82+x=180$

Solve for x, the value of angle 5:

$x=180-82\\\\x=98$

Angle 5 has a measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done

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Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.

My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by: $a_n = a+(n-1)d$ where a is the first term , n is the number of term and d is the common difference.

Given the series: $49 + 54 + 59+ ......$

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

$a_n = a+(n-1)d$

$a_n = 49+(n-1)5$

$a_n =49+5n -5$ = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol $'\sum'$

The series for 14th terms is given by;

$\sum_{n=1}^{14}(5n +44)$

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3 years ago

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AlladinOne [14]

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3 years ago

What does m equal?<br><br> 3 3/4 m = 33 3/4

SVETLANKA909090 [29]

The believe the answer is m=9.

8 0

3 years ago

5.05 and 5.5 witch one is greater

vfiekz [6]

Answer: 5.5

Step-by-step explanation:

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3 years ago

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At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosin

Marta_Voda [28]

Answer:

c. 0.3421

Step-by-step explanation:

The computation of the probability of selecting the biased coin is shown below:

The probability of any coin selected is 1 ÷ 2

The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)

And, the win probability is 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)

Now the probability of biased or win is

= {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)}

= 0.13 ÷ 0.38

= 0.3421

Hence, the correct option is c. 0.3421

5 0

3 years ago