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Tasya [4]
3 years ago
13

Find the value of x in this equation use inverse operations and explain step by step

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0
42 = -6 + 3x
42 = 3x - 6      (just moving 3x and -6 around)
42+ 6 = 3x - 6 + 6     (adding 6 to both sides)
42 = 3x    
42/3 = 3x/3    (dividing by 3 to both sides to isolate for x)
14 = x

You're trying to isolate for x, so you have to get it alone on one side. To do this you have to add/subtract and multiply/divide, but remember that whatever you do to one side you have to do to the other. Hope this helped! :)
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To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

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Now, considering the isosceles triangle OQR, we have that:

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Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

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1 year ago
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Step-by-step explanation:

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Bill : 75 ÷ 16 = 4.6875

Bill paid 4.6875 per ticket

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