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3 years ago

What angles are congruent to angle 4

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

Answer:

1, 5, 8

Step-by-step explanation:

1 is a vertical angle with angle 4, so is congruent.

5 is an alternate interior angle with angle 4, so is congruent.

8 is a corresponding angle with angle 4, so is congruent.

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Find f(2) if f(x) = (x + 1)2. 9 6 5

zhannawk [14.2K]

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3 years ago

What is the sum of the probability of drawing a green marble and the probability of not drawing a green marble?

andrey2020 [161]

Yo sup??

the answer is 1 because

P(E)+P(E')=1

where E is the event and

E' is the complement of the event

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3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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2 years ago

Mark used his debit card to buy groceries for $87 on Saturday and gas for $41 on Sunday. If his bank account balance is now $542

nirvana33 [79]

Answer:

414

Step-by-step explanation:

87+41=128

542-128=414

8 0

3 years ago

Read 2 more answers

What the number is 1/10 the value of 237

Troyanec [42]

1/10 the value of 237 means we must multiply 1/10 by 237

1/10 * 237 = 23.7

Hope this helps!

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3 years ago