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elena-14-01-66 [18.8K]
3 years ago
8

Line AB is parallel to line CD. Which statement is true?

Mathematics
2 answers:
Kisachek [45]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Inessa [10]3 years ago
5 0

Answer:

C) Angle d is congruent to angle e.

Step-by-step explanation:

Angle d and Angle e are alternate interior angles meaning they are congruent. The rest of the angles form supplementary angles with Angle d, therefore, making them not congruent.

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Dy/dx of ln(x/x^²+1)
exis [7]

\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}

5 0
3 years ago
A section of a boardwalk is made using 15boards. Each board is 9/1/4 inches wide. The total width of the section is 144 inches.
sleet_krkn [62]
If there are 15 boards there are 14 gaps in-between. 
But first, 15 boards each 9 and 1/4th inches so you get  a total of 138 inches and 3/4th
If you subtract that from 144 you get 5 inches and 1/4th. The remaining amount is the total of all of the distance from the spacing.
Then you divide that by 14 (number of gaps/spacing in-between.)
So you get .375 inches. (3/8)
So width of the spacing between each board is 3/8ths of a inch
4 0
3 years ago
MARK AS BRAINLIEST
timofeeve [1]

Answer:

x+20⩾50

Step-by-step explanation:

in inequality, the word at least means that is equal or more than. so that means that Allie might equal or more than 50 hours in the model but if you're to solve it, Allie will need 30 or more hours. and since she already has 20, add the 20.

3 0
3 years ago
9/2 divided by 1/4= ? in simplest form
Allisa [31]

Answer: 18

<u>Do Keep Change Flip (KCF)</u>

Keep: 9/2

Change: ÷ into ×

Flip: 1/4 into 4/1

Your new problem should be 9/2×4/1

<u>Multiply</u>

9/2×4/1=36/2

36/2=18

Final Answer: 18

7 0
3 years ago
What is the derivative of te^-t/2
salantis [7]
Y = t*e^(-t/2)

y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=

y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]


5 0
3 years ago
Read 2 more answers
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