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2 years ago

Two angles are supplementary. The first angle measures 60°. What is the measurement of the second angle?

Mathematics

1 answer:

sp2606 [1]2 years ago

8 0

Supplementary angles add up to 180 degrees.

so if one angle is 60 degrees, then the other angle is (180 - 60) = 120

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Answer:

Step-by-step explanation:

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3 years ago

What is the answer to 3-x/2=6

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Hello :
3-x/2=6
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3 years ago

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

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2 years ago

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Lyrx [107]

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Step-by-step explanation:

In order to find GCF, take the prime factorization of 3 and 13.

3: 1*3 ==> Prime factorization of 3

13: 1*13 ==> Prime factorization of 3

The common factor is 1.

GCF of 13 and 3 is 1

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1 year ago

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2 years ago