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Aleonysh [2.5K]
4 years ago
12

I need the answer ASAP

Mathematics
1 answer:
user100 [1]4 years ago
8 0

Answer:

i just did this in class a week ago and i think it was option c

Step-by-step explanation:

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Please Help Brainliest to whoever can give a clear explanation for this problem!
iren [92.7K]

See the attached sketch. Let \beta denote angle ABC and \beta' denote angle CBD. Then \beta'=2\beta.

From the sketch, we see that

\tan\beta=\dfrac15

\tan(\beta+\beta')=\tan(3\beta)=\dfrac{AD}5

Write \tan(3\beta) in terms of \tan\beta. Recall the angle sum identity for tangent:

\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}

This gives us

\tan(3\beta)=\dfrac{\tan\beta+\frac{2\tan\beta}{1-\tan^2\beta}}{1-\tan\beta\cdot\frac{2\tan\beta}{1-\tan^2\beta}}=\dfrac{\tan\beta(\tan^2\beta-3)}{3\tan^2\beta-1}

and plugging in \tan\beta=\frac15 leaves us with

\tan(3\beta)=\dfrac{37}{55}

and so AD = 5 * 37/55 = 37/11.

6 0
3 years ago
Mean And Median of 12,10,11,9,9,10,12,9,8,7,9,10
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Se implicit differentiation to find an equation of the tangent line to the curve at the given point.7x2 + xy + 7y2 = 15, (1, 1)
suter [353]
F'(x, y) = 14x +xydy/dx + 14ydy/dx = 0
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dy/dx = -14x /(xy+14y)
dy/dx |(x=1,y=1) : -14(1) / (1+14) = -14/15

using
y-y1=/x-x1 = -14/15
y-1/x-1 = -14/15
15y-15 = -14x+14
15y+14x -15-14=0
14x +15y = 29
5 0
4 years ago
A. (2 + 4) + 5( − 1) − ( + 7)
Novay_Z [31]
A) -6
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c)23
d)-47
e)73
f)20
g)131
h)-79
i)48
j) 68
8 0
3 years ago
What the area of a circle with a diameter of 106 yd? <br><br> PLEASE HELP ME ASAP
Serjik [45]

Answer:

8824.73yd

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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