The value of m∠M is 112°
Step-by-step explanation:
In the parallelogram NPMQ, opposite angles ∠P=∠M.
To get the value of the angles, equate the two expressions;
(6x-2)°=(4x+36)°
6x-2=4x+36 ------ collect like terms
6x-4x=36+2
2x=38
x=38/2 =19
So, ∠M= (6x-2)° = (6×19 - 2)° = 112°
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Angles in a parallelogram : brainly.com/question/11611093
Keyword : angles
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Answer:
9
Step-by-step explanation:
Fun fact. The name nonagon comes from Greek enneagonon, and is arguably more correct, though less common than "nonagon".
You have to find the area of a shape.
Answer:
μ= 65 inches; σ= 0.625 inch
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:

By the central limit theorem, the sample of 16 will have:

So the correct answer is:
μ= 65 inches; σ= 0.625 inch