A parallelogram's definition is a quadrilateral with two sets of parallel lines. This means lines MA and TH are parallel, and AT and MH are parallel. MA's slope is (2-(-3)/(-4-(-1)), or -5/3. TH's slope is (3-8)/(9-6) or -5/3 too. This means they are parallel, as they have the same slope. Do the same with AT and MH, and you get their slopes as 3/5 and 3/5. This means that the whole shape is a quadrilateral.

For the 2nd part, rectangles have sides that meet at right angles, which means that they are perpendicular, and perpendicular lines have slopes that are the negative reciprocals of each other. -5/3 and 3/5 are negative reciprocals of each other, so therefore it is a rectangle.

6 0

3 years ago

You wondered if the sugar content in energy dinks is really the same as labeled in the products. The disclosure on Red Bull 12 o

NeX [460]

Answer:

The null hypothesis should be $H_0: \mu = 12$

The alternate hypothesis should be $H_1: \mu \neq 12$

Step-by-step explanation:

You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.

At the null hypothesis, we test if the sugar content is the same labeled, that is:

$H_0: \mu = 12$

At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.

$H_1: \mu \neq 12$

5 0

3 years ago