Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
1. y=6
2. y=-12
Step-by-step explanation:
<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>
It is given that
y varies inversely as x
IT will be written as:
y∝1/x
Removing the proportionality symbol
y=k/x
Given
y=3 , x=-2
Putting the values
3=k/-2
k=3*-2 = -6
The equation will be:
y=-6/x
So,
When x=-1

<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>
y is directly proportional to x
y∝x
y=kx
Given
y=15, x=-3
Putting the values

Hence,
1. y=6
2. y=-12
Keywords: Proportion, Variation
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Answer:
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Step-by-step explanation: