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Vsevolod [243]
3 years ago
8

PLZ HELP 100 PTS!!!!!!!!!!!!!!!

Mathematics
2 answers:
Volgvan3 years ago
8 0

the correct answer is

<ABC = 80°



EastWind [94]3 years ago
4 0

Answer:

<ABC = 80°


Step-by-step explanation:

find x first

<ABC = 1/2[(9x - 7) +(5x + 13)]

8x - 8 = 1/2(9x - 7 + 5x + 13)

16x - 16 = 14x + 6

2x = 22

 x = 11

Plug in x = 11 into 8x - 8

<ABC = 8(11) - 8

<ABC = 88 - 8

<ABC = 80°

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The answer to this equation​
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x=3

Step-by-step explanation:

We are given the equation

log5x=log(2x+9)

This can be rewritten as

log5x-log(2x+9)=0

Now using the quotient rule for logarithms we can combine these two

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Next we can remove the log by using an inverse operation

10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1

Now we can solve for x

\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3

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