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3 years ago

Given parallel lines, which pair of angles are congruent?

Mathematics

1 answer:

Talja [164]3 years ago

4 0

transversal angles

Step-by-step explanation:

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .

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Determine which sequence is an arithmetic sequence.

dlinn [17]

Answer:

A is correct

Step-by-step explanation:

because the sequence is the 4 and 4

-7 + 4= -3

-3 + 4= 1

1 + 4= 5

6 0

3 years ago

In Exercise, find the derivative of the function.<br> y = ln(3 + x2)

erastovalidia [21]

Answer: $\dfrac{2x}{3 + x^2}$

Step-by-step explanation:

We know the property of derivative: $\dfrac{d}{dx}(\log (x))=\dfrac{1}{x}$

Given function : $y=\ln(3 + x^2)$

Differentiate both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(\ln(3 + x^2))$

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot\dfrac{d}{dx}(3 + x^2)$ [By Chain rule]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot(0+2x)$

[Since $\dfrac{d}{dx}(a)=0$ , where a is scalar and $\dfrac{d}{dx}(x^n)=n(x)^{n-1}$ ]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{2x}{3 + x^2}$

Hence, the derivative of the given function is $\dfrac{2x}{3 + x^2}$ .

5 0

3 years ago

The area of a rectangle room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equatio

olga_2 [115]

By definition, the area of a rectangle is given by:
A = (width) * (long)
Substituting values we have:
750 = (y-5) * (y)
Rewriting we have:
750 = y ^ 2 - 5y
y ^ 2 - 5y - 750 = 0
Answer:
An equation that can be used to solve for And the length of the room is:
y ^ 2 - 5y - 750 = 0

5 0

3 years ago

Whch expression could be used to change 8 kilometers per hour to meters per minute

vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

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3 years ago

1. What is the rate of change for the<br> equation 3x - 6y = 30 ?

vodka [1.7K]

Answer:

average rate of change is 1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers