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tangare [24]
3 years ago
8

a store sells new DVDs for $12 each. used DVDs sell for $7 each. Joseph is buying two new DVDs and X used DVDs. write an equatio

n that can be used to find X, the total Joseph must pay in dollars
Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0
Given that new DVDs are selling for $12 and used for $7, then Joseph is buying:
12·2 + 7<em>x </em>= 

earnstyle [38]3 years ago
7 0
Used DVDs = x
Total = t

t = 12(2) + 7x
t = 24 + 7x
t - 24 = 7x 
(t - 24) / (7) = x

If given the total, you can plug it in to variable t and then work the right side of the equation to isolate variable x and solve to find its value. 


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

\angle OQR+\angle ORQ+\angle ROQ=180^o

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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