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scZoUnD [109]
3 years ago
11

Solve for x PLEASE HELP NEEDED !!

Mathematics
2 answers:
Inessa [10]3 years ago
5 0

Answer:

x is 60^o

Step-by-step explanation:

Notice that angle 'x" is opposed via the vertex to the angle obtained by subtracting 150 degrees from 90 degrees (right angle), and therefore should be of the same measure.

Then:

x=150^o-90^o=60^o

Ulleksa [173]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

We can see the blue angle is 150° and is made up of 90° and something. That something is 150 - 90 = 60°. Since x and 60° are vertical angles, x = 60°.

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Coach Kevin brought 18 gallons of water to the football game.
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Answer:

288

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16 cups per gallon so 16x18=288

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(x-10)+(x+2)=90
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Which expression is equivalent to 12x + 18y + 54?
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Art [367]

Answer:

\displaystyle E=26log2-24log3+8log 5

Step-by-step explanation:

<u>Logarithms</u>

There are certain properties of the logarithms we'll need to recall in order to simplify the expression given in the question. We'll list them below

log(x.y)=logx+logy\\log(x/y)=logx-logy\\logx^y=y.logx

We'll also need to factor the following numbers into their prime factors:

20=2^2\cdot 5

16=2^4

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25=5^2

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The original expression is

\displaystyle E=log20+16log\frac{16}{15}+12log\frac{25}{24}+log\frac{81}{80}

Plugging in the factored values

\displaystyle E=log(2^2\cdot 5)+16log\frac{2^4}{3\cdot 5}+12log\frac{5^2}{2^3\cdot 3}+log\frac{3^4}{2^4\cdot 5}

Applying the properties we have

\displaystyle E=log2^2+log 5+16(log2^4-log3-log 5)+12(log5^2-log2^3-log 3)+log3^4-log2^4-log 5

\displaystyle E=2log2+log 5+16log2^4-16log3-16log 5+12log5^2-12log2^3-12log 3+log3^4-log2^4-log 5

\displaystyle E=2log2+log 5+64log2-16log3-16log 5+24log5-36log2-12log 3+4log3-4log2-log 5

Simplifying

\boxed{\displaystyle E=26log2-24log3+8log 5}

7 0
4 years ago
Find the area of the shaded portion in the square. (assuming the central point of the arc is the corresponding corner)
-Dominant- [34]
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3 years ago
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