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uysha [10]
3 years ago
12

Jude is placing boxes on a shelf that holds no more than 80 lb. He has x small boxes that weigh 5 lb each and y large boxes that

weigh 12 lb each. Jude needs at least 4 small boxes on the shelf.
Which inequalities model the situation?


Choose exactly two answers that are correct.



5x + 12y ≤ 80



5x + 12y < 80



x > 4 and y > 0



x ≥ 4 and y > 0
Mathematics
1 answer:
sweet [91]3 years ago
6 0
5x + 12y < 80 and x ≥ 4 and y > 0
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Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
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To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

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\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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7 0
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