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Anvisha [2.4K]
3 years ago
15

Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

C. 60

Step-by-step explanation:

48+72=120

x=180-120

x=60

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Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)

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First, we need to determine the function describing the line.

From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:

y = m x+ b = \frac{9}{4}x + b

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-18 = \frac{9}{4}\cdot 2+b\\\implies b = -18 -\frac{9}{2}=\frac{45}{2}\\y = \frac{9}{4}x+\frac{45}{2}

The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:

y = \frac{9}{4}x+\frac{45}{2}\\0 = \frac{9}{4}x+\frac{45}{2}\\-\frac{45}{2}=\frac{9}{4}x\\x = -10

The x-intercept is (-10,0)

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