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2 years ago

What does x equal? angle2 = (20x - 1), and angle3 = (4x + 13)

Mathematics

1 answer:

Maurinko [17]2 years ago

3 0

Answer:

x = 7

Step-by-step explanation:

angles 2 and 3 form a straight angle and are supplementary, that is they sum to 180°, hence

∠2 + ∠3 = 180 ← substitute values

20x - 1 +4x + 13 = 180

24x + 12 = 180 ( subtract 12 from both sides )

24x = 168 ( divide both sides by 24 )

x = 7

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2 years ago

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8 0

3 years ago

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Which of the following describes the data set? 6,7,11,14,20,30,35

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Answer:

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2 years ago

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If you place a 40-foot ladder against the top of a 24-foot building, how many feet will

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Answer:

Step-by-step explanation:

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3 years ago

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REALLY APPRECIATE YOUR HELP<br><br>Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y

anyanavicka [17]

Answer:

$if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }$

Step-by-step explanation:

$x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}$

♨Rage♨

3 0

2 years ago