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3 years ago

In the diagram, which pair of angles are alternate interior angles?

Mathematics

2 answers:

mars1129 [50]3 years ago

7 0

Answer:

2+8, 3+5

Step-by-step explanation:

Nata [24]3 years ago

4 0

Step-by-step explanation:

Z5 and Z3 are on opposite sides, but still on the interior of the lines, making them Alternate Interior Angles.

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F(x) = Square root of x plus eight.; g(x) = 8x - 12 Find f(g(x))

Liono4ka [1.6K]

$f(x)= \sqrt{x+8} \Rightarrow f(g(x))= \sqrt{(8x-12)+8} = \sqrt{8x -4}$

7 0

3 years ago

Read 2 more answers

Or which equation would x = 4 be a solution?

ElenaW [278]

$2x+7=22\ \ \ \ |-7\\2x=15\ \ \ \ \ |:2\\x=7.4\neq4\\----------------------\\6x\div8=3\ \ \ \ |\cdot8\\6x=24\ \ \ \ |:6\\x=4\\-------------------\\8-3x=20\ \ \ \ |-8\\-3x=12\ \ \ \ |:(-3)\\x=-4\neq4\\---------------------\\2x+8=4\ \ \ \ \ |-8\\2x=-4\ \ \ \ \ |:2\\x=-2\neq4\\\\Answer:\ 6x\div8=3$

Other method.

Enter the value of x for each equation and check the equality of the pages of the equation

$2x+7=22\\L=2(4)+7=8+7=15;\qquad R=22\qquad L\neq R\\\\6x\div8=3\\L=6(4)\div8=24\div8=3;\qquad R=3;\qquad L=R\\\\8-3x=20\\L=8-3(4)=8-12=-4;\qquad R=20;\qquad L\neq R\\\\2x+8=4\\L=2(4)+8=8+8=16;\qquad R=4;\qquad L\neq R$

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3 years ago

A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation i

____ [38]

Answer:

See below for answers and explanations

Step-by-step explanation:

Assuming that conditions have been met for the interval, we use the formula $\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}$ where $\bar{x}$ represents the sample mean, $t$ represents the critical value, $s$ represents the sample standard deviation, and $n$ is the sample size.

The critical value of $t$ for an 80% confidence level with degrees of freedom $df=n-1=25-1=24$ is equivalent to $t=1.317836$

Thus, we can compute the confidence interval:

$\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}$

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

The margin of error is $\displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47$

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2 years ago

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podryga [215]

I searched for a calculator on my computer and got 109.888888889.

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3 years ago

If X = 2 centimeters, Y = 6 centimeters, and Z = 6 centimeters, what is the area of the object?

Sedbober [7]

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4 years ago