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valkas [14]
2 years ago
11

Find the measure of angle x in the figure below: (1 point)

Mathematics
1 answer:
Aleks04 [339]2 years ago
3 0

Answer:

x = 50

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angles in the lower triangle and subtract from 180 to find the third angle

third angle = 180° - (65 + 65)° = 180° - 130° = 50°

x = third angle = 50 ( vertical angles )

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3 years ago
The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Find (f^-1)'(7
andreyandreev [35.5K]

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

(f^(-1))'(f(x)) = 1/f'(x)

Let x = a; then

(f^(-1))'(f(a)) = 1/f'(a)

(f^(-1))'(b) = 1/f'(a)

In particular, we take a = 2 and b = 7; then

(f^(-1))'(7) = 1/f'(2) = 1/5

3 0
2 years ago
Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.
Rudik [331]

Step-by-step explanation:

Given

The function is f(x)=x+4

for x_2>x_1, we will check the values of f(x_1) and f(x_2)

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Similarly,

f(3)=3+4\\f(3)=7

Thus, f(4)>f(3)

Also, f'(x) is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.

7 0
2 years ago
A certain lottery consists of selecting five different numbered balls from numbered 1 to 15 white balls and one from 1 to 14 gol
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Answer:

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Step-by-step explanation:

Please kindly check the attached files for explanation

6 0
2 years ago
Write the words as decimals
cestrela7 [59]

8. 2,164.8

9. 304.07

10. $421.37

I hope this helps!!!

5 0
3 years ago
Read 2 more answers
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