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3 years ago

How do i solve for x

Mathematics

2 answers:

Katena32 [7]3 years ago

6 0

Answer:

x = 31

Step-by-step explanation:

The 88-deg angle is an exterior angle of the triangle.

The 57-deg angle and x are its remote interior angles.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

x + 57 = 88

x = 31

n200080 [17]3 years ago

6 0

Answer:

x = 31º

Step-by-step explanation:

The inside of a triangle equals 180º. We are given one of the angles and we need to solve for those. First things first, we should solve the one on the left of the x. We know that a straight line equals 180º and we already have one angle. So, our equation should look like

180 - 88 = x, 180 - 88 = 92

So there's our second angle. Now, we can add then together and subtract by 180.

57 + 92 = 149

180 - 149 = 31

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3 years ago

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amm1812

Answer: c. 0.0778

Step-by-step explanation:

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2 years ago

Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind

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Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

The 95% confidence interval is given by the interval

$\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]$

where

$\bf \bar x$ = 26.7 is the sample mean

s = 17.7 is the sample standard deviation

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute $\bf z^*$ and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))