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adoni [48]
3 years ago
9

How long is DE? Any help will be appreciated thank you

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer: 4

Step-by-step explanation:

<u>solve for the missing angle</u>

the total degrees a triangle can have is 180 so

180-90-60=30

use <u>law of sines</u> to solve for x

\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}

cross multiply

sin60*x=4\sqrt{3} sin30

divide by sin60

x=\frac{4\sqrt{3}sin30 }{sin60}

type into calculator with (<em>ALPHA Y= </em>for a fraction on TI-84) MAKE SURE IT IS IN DEGREES

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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

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Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

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6 0
3 years ago
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