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blsea [12.9K]
3 years ago
12

ASAP I NEED HELP four 28s in lowest terms​

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

1/7 is the answer. 4/28 = 1/7 but in the lowest term

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Find the value of r so the line that passes through each pair of points has the given slope.
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Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

\frac{5-r}{6}=\frac{2}{3}

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

5 - r = 4

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r=1

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Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.
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56°

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre
natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

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112.5 units²

Step-by-step explanation:

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The height is the distance between X(15, 20) and Y(15, 5).

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Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

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ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}

AB = \sqrt{(15)^2 + (0)^2}

AB = \sqrt{225 + 0} = \sqrt{225}

AB = 15

Distance between X(15, 20) and Y(15, 5):

XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

X(15, 20) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}

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