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Vladimir79 [104]

3 years ago

10

wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.

1 answer:

Natali5045456 [20]3 years ago

5 0

45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!

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Which value for x will make 3x + 10 > 75 correct?

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3 0

4 years ago

Ksivusya [100]

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Option (1)

Step-by-step explanation:

Coordinates of the vertices of a quadrilateral WXYZ drawn in the figure are,

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Length of a segment having ends as $(x_1, y_1)$ and $(x_2, y_2)$ is represented by,

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

Length of WX = $\sqrt{(-1-2)^2+(4-2)^2}$

= $\sqrt{9+4}$

= $\sqrt{13}$

Length of XY = $\sqrt{(2-0)^2+(2+1)^2}$

= $\sqrt{13}$

Length of YZ = $\sqrt{(0+3)^2+(-1-1)^2}$

= $\sqrt{13}$

Length of ZW = $\sqrt{(-1+3)^2+(4-1)^2}$

= $\sqrt{13}$

Slope of side WX ( $m_1$ ) = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{4-2}{-1-2}$

= $-\frac{2}{3}$

Slope of side XY ( $m_2$ ) = $\frac{2+1}{2-0}$

= $\frac{3}{2}$

By the property of perpendicular lines,

$m_1\times m_2=-1$

$(-\frac{2}{3})(\frac{3}{2})=-1$

therefore, WX and XY are perpendicular.

Slope of YZ ( $m_3$ ) = $\frac{-1-1}{0+3}=-\frac{2}{3}$

$m_2\times m_3=(\frac{3}{2})\times (-\frac{2}{3})=-1$

Therefore, XY ⊥ YZ

Similarly, we can prove YZ ⊥ ZW.

Therefore, quadrilateral WXYZ is a SQUARE.

Option (1) will be the answer.

7 0

3 years ago