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3 years ago

Can a rhombus be a kite? If so explain. Is every quadrilateral a parallelogram? If so explain.

1 answer:

7 0

No, a rhombus cannot be a kite because kites have very specific angles and shapes that have to be present in order for the shape to be classified as a kite.

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I neeeed help plz help me

lord [1]

Answer:

the units were only misalignes by a few cm

6 0

3 years ago

Which transformation of AB will produce a line segment A'B' that is parallel to AB?

lyudmila [28]

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. $B = (x,y)$

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (x,y)$

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

$m = \frac{y - 0}{x - 0}$

$m = \frac{y}{x}$

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

$B' = (-x,-y)$

Taking the slope of B'

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (-x,-y)$

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

$m = \frac{-y - 0}{-x - 0}$

$m = \frac{-y}{-x}$

$m = \frac{y}{x}$

Notice that the slope of B and B' is the same;

$m = \frac{y}{x}$

Hence:

Rotation of 180° about point B answers the question

There's no need to check for other options

8 0

3 years ago

The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90

lesya692 [45]

Answer:

Both slopes are equal

Step-by-step explanation:

The general form of a linear function is:

y = mx + c

where m is the slope and c is the y-intercept

We can, thus, note that the slope is constant across the linear function.

Since we are given that the relation between the salary and hours worked is linear, therefore, the slope will be equal between any two points belonging to the function

Verification:

slope can be calculated as follows:

slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }

1- In case of (4,30) and (12,90):

slope = slope = \frac{ 90 - 30 }{ 12 - 4 } = 7.5

2- In case of (4,30) and (10,75):

slope = \frac{ 75 - 30 }{ 10 - 4 } = 7.5

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Jackie has a bond with a 5.6% yield, a bid price of $975, and a face value of

Burka [1]

Answer:5.5%

Step-by-step explanation:

6 0

4 years ago

Complete the scatterplot model given the real word data

Lisa [10]

Step-by-step explanation:

Bobby, 2, 80

Carl, 1, 30

Ashley, 4, 175

David, 2, 125

Edward, 3, 140

5 0

3 years ago

Read 2 more answers