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3 years ago

How would I solve for x?

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

Answer:

$x = 65$

Step-by-step explanation:

First, we calculate the unknown angle of the left triangle and right triangle: $180 - 62 - 50 = 68$

Unknown angle for left triangle⬆️

$180 - 80 - 53 = 47$

Unknown angle for right triangle⬆️

Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

$180 - 68 - 47 = 65$

The angle 65° and angle of x are vertical angle.(both are equal)

So... x= 65°

hope it helps :)

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If f (x)=3x, g(x)=x-3, and h(x)= square root of x, find (fogoh)(25)

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3 years ago

In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

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Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

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For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$