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2 years ago

What value of x would make the figure below a parallelogram? please show your work!

Mathematics

1 answer:

lara31 [8.8K]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

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Step-by-step explanation:

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3 years ago

How would the following triangle be classified?

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Step-by-step explanation:

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3 years ago

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3 years ago

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zubka84 [21]

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3 years ago

An apple farm claims that the average weight of all their apples is 8oz. A sample of 20 apples were picked that had a mean of 7.

Nimfa-mama [501]

Answer:

The mean apple weight is different from 8oz

Step-by-step explanation:

Claim : An apple farm claims that the average weight of all their apples is 8oz.

$H_0:\mu \neq 8\\H_a:\mu = 8$

n = 20

Standard deviation =s = 0.95

Since n < 30

So we will use t-test

x = 7.77

$t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

Substitute the values :

$t =\frac{7.77-8}{\frac{0.95}{\sqrt{20}}}$

$t =−1.0827$

Since we are not given the significance level

So, we will take 5%

So,α = 0.05

Degree of freedom = df = n-1 = 20-1 = 19

So, using t table

$t_{\frac{\alpha}{2} , df}=2.093$

Since t critical > t statistic

So, we accept the null hypothesis.

So, The mean apple weight is different from 8oz

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3 years ago

What value of x would make the figure below a parallelogram? please show your work!​

What value of x would make the figure below a parallelogram? please show your work!