Find the value of x and y

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

Answer:

x = 80, y = 122

Step-by-step explanation:

I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).

3/4x+2/5x-2=90°,

23/20x - 2=90°,

23/20x = 92°,

92/(23/20)

20/(1/4)

20(4)

= 80.

Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.

180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122

malfutka [58]3 years ago

3 0

Answer:

x = 80

Step-by-step explanation:

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Please enter the missing number: 4, 5, 8, 17, 44, ?

Eddi Din [679]

Answer:

Step-by-step explanation:

from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.

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2 years ago

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

Genrish500 [490]

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{\frac{\alpha}{2}}$ = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = $\overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}$