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omeli [17]
2 years ago
12

Find the values of x and y if l // m. Show all work.

Mathematics
1 answer:
____ [38]2 years ago
6 0

Answer:

x = 7, y = 24

Step-by-step explanation:

23x -16 + 8x - 21 = 180 because they are supplementary angles

31x - 37 = 180

31x = 217

x = 7

23(7)-16 = 7y - 23 because they are vertical angles

168 = 7y

y = 24

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2 years ago
Jane is planting a mixture of flowers. For every ounce of Marigold seeds she uses 2/5 of an ounce of lupine seeds how many ounce
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\frac{5}{2} ounces of marigold seeds.

Step-by-step explanation:

We have been given that Jane uses 2/5 of an ounce of lupine seeds for every ounce of Marigold seeds. We are asked to find the ounces of Marigold seeds, which Jane will use, if she used one ounce of lupine seeds.  

We will use proportions to solve our given problem.  

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1}{\frac{2}{5}}

Let us simplify our proportion as shown below:

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1\cdot 5}{2}

\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{5}{2}

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