Answer:
3.6
Step-by-step explanation:
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2 answers:
Answer:
The Answer is : 60, 90, 30
Step-by-step explanation:
The sum of an angle in a triangle is 180'
x + (x + 30) + (x - 30) = 180'
x + x + 30 + x - 30 = 180'
collect like terms
3x + 30 - 30 = 180'
3x = 180'
x =
x = 60
So therefore, where x = 60
x = 60
x + 30 = 60 + 30 = 90
x - 30 = 60 - 30 = 30
The Answer is : 60, 90, 30
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<u>Equation First Train</u>
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Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that ; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this: , so
)