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Alinara [238K]
3 years ago
7

If the measure of complementary angles are (2x+3)° and x°. Find the measure of x

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0
<h3>Answer: x = 29</h3>

========================================================

Work Shown:

A = 2x+3

B = x

angles A and B are complementary, so they add to 90 degrees

A+B = 90

(2x+3)+(x) = 90

2x+3+x = 90

2x+x+3 = 90

3x+3 = 90

3x+3-3 = 90-3

3x = 87

3x/3 = 87/3

x = 29

Extra info:

2x+3 = 2(29)+3 = 58+3 = 61

Note that 29 and 61 add to 29+61 = 90

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use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r
Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt

If we ask that f has continuous (n+1)th derivative we can apply the mean value theorem for integrals. Then, there exists c between a and x such that

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x

Hence,

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .

Thus,

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}

and the Taylor theorem with Lagrange remainder is

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}.

Step-by-step explanation:

5 0
3 years ago
8:12 as a ratio in its simplest form <br><br> Answer: 2:3
pav-90 [236]

Answer:

it could also be 4:6

8 ÷2=4

12÷2=6

3 0
2 years ago
You invest $500 in an account with an annual interest rate of 1.1%, compounded continuously. How much money is in the account af
posledela
Idk what is the answers so i see if i got then right
8 0
3 years ago
7(4x - 2) - 4(2x - 8)
vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

6 0
3 years ago
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What Is the answer to 1/6 + 2/3<br>​
arlik [135]

Answer:

5/6

Step-by-step explanation:

When adding fractions, you must ensure the denominator is the same in both fractions.

In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.

When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.

2/3 × 2/2 = (2×2)/(3×2) = 4/6

Replace 2/3 with its equivalent 4/6.

Now you will add the numerators together.

1/6 + 4/6 = (1+4)/6 = 5/6

Your final answer is 5/6

3 0
3 years ago
Read 2 more answers
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