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inysia [295]
3 years ago
10

Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equati

on given above?A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2
Mathematics
1 answer:
cricket20 [7]3 years ago
6 0
12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
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Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

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Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

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The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of (x+y) miles per minute.

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The distance between both train in 15 minutes is represented by 15(x+y).

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Use equation (1) and put y=3x

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Put this value in equation (1), to find the value of y.

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Read 2 more answers
What is the reference angle for 192º?​
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Answer:

78º

Step-by-step explanation:

<u>Note</u> : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>1</u> : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>2</u> : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u> : -

78º is the reference angle for 192º.

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