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3 years ago

The points (2,4), (3,9), (7,8), and (6,3) form a quadrilateral. Graph the quadrilateral,

Mathematics

2 answers:

inysia [295]3 years ago

8 0

Answer:

I believe it's a parallelogram.

Step-by-step explanation:

So a parallelogram has opposite sides congruent which when plotting the points opposite sides are the same length which makes it a parallelogram. In addition the opposite sides are parallel also which also justifies how the shape is a parallelogram.

Softa [21]3 years ago

7 0

The quadrilateral is a parallelogram because it has two pairs of parallel sides and the opposite sides are equal.

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3 years ago

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\

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Given:

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

In ΔKLM, using law of sine, we get

$\dfrac{k}{\sin K}=\dfrac{l}{\sin L}$

$\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}$

$k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}$

On further simplification, we get

$k=\dfrac{48\times 0.819152}{0.7193398}$

$k=\dfrac{39.319296}{0.7193398}$

$k=54.66025
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Approximate the value to the nearest inch.

$k\approx 55
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Therefore, the length of k is 55 inch.

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Answer:

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