Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
Answer:
Friday night.
Less expensive.
Step-by-step explanation:
Cost of 1 ticket on Friday = 48/3 = $16.
Cost on Saturday = 36 / 2 = $18.
Now 96 / 6 = $16 so the brother and his friends will have to go to the Friday concert. From the above costs we see that they did buy the less expensive ticket.
It is helpful to become familiar with the rules for secants of a circle.
The product of the numbers on the same chord is the same.
.. 2*x = 5*8
.. x = 20
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The picture is not drawn to scale. (They almost never are.)
<h3>
Answer: A) Parallel </h3>
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Explanation:
I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.
Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-3-5)/(-1-(-3))
m = (-3-5)/(-1+3)
m = -8/2
m = -4
The slope of line AB, aka line m, is -4.
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Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-3-5)/(3-1)
m = -8/2
m = -4
The slope of line CD, aka line k, is -4
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Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.
Answer:
Let x and y be the two positive integers the Christopher is thinking.
x is equal to 7
and y =20