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3 years ago

Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If angle JNK equals 5x - 15, find the value of x.

1 answer:

3 0

One property of a rhombus is that the diagonals are perpendicular. This means that the diagonals intersect at 90 degree angles (right angles).

So we know that angle JNK is 90 degrees

angle JNK = 90 degrees
5x - 15 = 90
5x - 15 + 15 = 90+15
5x = 105
5x/5 = 105/5
x = 21

Answer: x = 21

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2 years ago

At the Butler Ski Resort, it snowed 1/2 of a foot yesterday and 1/5 of a foot today. How much more did it snow yesterday than to

barxatty [35]

It snowed $\frac{3}{10}$ foot more yesterday than today

<em><u>Solution:</u></em>

Given that, At the Butler Ski Resort, it snowed 1/2 of a foot yesterday and 1/5 of a foot today

From given information,

$\text{Snowed yesterday } = \frac{1}{2} \text{ foot }\\\\\text{Snowed today } = \frac{1}{5} \text{ foot }$

<em><u>To find: how much more did it snow yesterday than today</u></em>

So we have to find the difference between snowed yesterday and today

$\text{Difference} = \text{Snowed yesterday } - \text{ snowed today }\\\\\text{Difference} = \frac{1}{2} - \frac{1}{5}\\\\\text{Difference} = \frac{1 \times 5}{2 \times 5}-\frac{1 \times 2}{5 \times 2}\\\\\text{Difference} = \frac{5}{10}-\frac{2}{10}\\\\\text{Difference} =\frac{3}{10}$

Hence it snowed $\frac{3}{10}$ foot more yesterday than today

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