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3 years ago

5x

{ { = 45}^{?} }^{2} " alt="5x { { = 45}^{?} }^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

$\bf 5x=45^2\implies x=\cfrac{45^2}{5}\implies x=\cfrac{2025}{5}\implies x=405$

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The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

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Using this midpoint find the missing coordinate.

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Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

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$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

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Now equate the x-coordinates and y-coordinates.

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m + h = x, n = y

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Since in the question it is mentioned that the teacher obtained data with regard to the number of hours that students spent for their test and on their results. She found that on an average for each 30 minutes studied, the graded would rise by 8 points

Now this kind of relationship represents the linear association, positive correlation and study more earn better

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