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Dominik [7]
3 years ago
12

Help solving for ask

Mathematics
2 answers:
Nataliya [291]3 years ago
8 0
<span>Sum of Interior Angles = 900

x = 900 - (121 + 105 + 172 + 98+155 + 133)
x = 900 - 784
x = 116</span>
frosja888 [35]3 years ago
4 0
I did the math and what i got was x=116
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What degree measure is equivalent to -4pie over 9
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Anyway
2pi radians=360
so
-4pi/9radians=xdegrees

2pi/360=-4pi/9r/x
times both sides by 360x
2xpi=-1440pi/9
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5 0
2 years ago
Write an explicit rule for the geometric sequence 4, 8, 16, 32, ..
Paul [167]
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Then:

a(n) = 4(2)^(n-1)

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(1+tanx)/(sinx+cosx)=secx
jek_recluse [69]

\frac{1+\tan x}{\sin x+\cos x}=\sec x is proved

<h3><u>Solution:</u></h3>

Given that,

\frac{1+\tan x}{\sin x+\cos x}=\sec x  ------- (1)

First we will simplify the LHS and then compare it with RHS

\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}  ------ (2)

\text {We know that } \tan x=\frac{\sin x}{\cos x}

Substitute this in eqn (2)

=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}

On simplification we get,

=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}

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Cancelling the common terms (sinx + cosx)

=\frac{1}{c o s x}

We know secant is inverse of cosine

=\sec x=R . H . S

Thus L.H.S = R.H.S

\frac{1+\tan x}{\sin x+\cos x}=\sec x

Hence proved

5 0
3 years ago
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