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2 years ago

5. A pathway of uniform width is going to be built on two adjacent sides of a

Mathematics

1 answer:

Illusion [34]2 years ago

6 0

Answer:

Step-by-step explanation:832

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Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0

3 years ago

Plzz help i hav a test after i need the answer quick plzz.

Katen [24]

Answer:Oop

Step-by-step explanation:

5 0

3 years ago

Please help on number 15

borishaifa [10]

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6 0

2 years ago

Please help:<br> In Δ ABC, sin A=88, sin B=42, and a =17, find the length of b.

iren2701 [21]

Answer:

Step-by-step explanation:

Use the law of sines.

$\frac{sin A}{a} = \frac{sin B}{b} \\$

Plug values in.

$\frac{sin88}{17} = \frac{sin42}{b}\\$

Cross multiply.

$bsin88 = 17sin42\\b = 11.38$

Hope that helps.

6 0

3 years ago

Read 2 more answers

The center is (-4,6) in the circle is tangent to the y-axis. ( informally, a line is tangent to a circle if it touches the circl

Kamila [148]

Answer:

Step-by-step explanation:

Draw a circle with center (-4,6) and radius 4 .

It will touch the y-axis exactly at one point.

7 0

3 years ago