All categories

6 months ago

Find the measure of angle b

Mathematics

2 answers:

olga2289 [7]6 months ago

7 0

Answer:

b = 65 degrees

Step-by-step explanation:

As we can see, the line that angle b and 115 deg correspond to is a straight line. A straight line always measures at 180 deg.

Because of this principle, we know that:

$115+ b = 180$

We can simplify this one variable equation now:

$b=180-115\\$

Now solve:

$b=65$

And this makes sense. Just by eyeballing the angle, we can see that it is under 90 degrees.

So, b = 65 degrees

garik1379 [7]6 months ago

3 0

Answer:

Step-by-step explanation:

angles are on a straight line = sum of 180°, to find the value of "b" subtract the known angle (115°) from 180°

180 - 115 = 65°

You might be interested in

Please, I need help in this ??

nignag [31]

Answer:

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

Step-by-step explanation:

$\int\frac{x^{4}}{x^{4} -1}dx$

Adding and Subtracting 1 to the Numerator

$\int\frac{x^{4} - 1 + 1}{x^{4} -1}dx$

Dividing Numerator seperately by $x^{4} - 1$

$\int 1 + \frac{1}{x^{4}-1 }\, dx$

Here integral of 1 is x +c1 (where c1 is constant of integration

$x + c1 + \int\frac{1}{(x-1)(x+1)(x^{2}+1)}\, dx$ ----------------------------------(1)

We apply method of partial fractions to perform the integral

$\frac{1}{(x-1)(x+1)(x^{2}+1)}$ = $\frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{x^{2} + 1}$ ------------------------------------------(2)

$\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)}{(x-1)(x+1)(x^{2} +1)}$

1 = $A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)$ -------------------------(3)

Substitute x= 1 , -1 , i in equation (3)

1 = A(1+1)(1+1)

A = $\frac{1}{4}$

1 = B(-1-1)(1+1)

B = $-\frac{1}{4}$

1 = C(i-1)(i+1)

C = $-\frac{1}{2}$

Substituting A, B, C in equation (2)

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\int\frac{1}{4(x-1)} - \frac{1}{4(x+1)} -\frac{1}{2(x^{2}+1) }$

On integration

Here $\int \frac{1}{x}dx = lnx and \int\frac{1}{x^{2}+1 } dx = arctanx$

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\frac{1}{4} ln(x-1)$ - $\frac{1}{4} ln(x+1)$ - $\frac{1}{2} arctanx$ + c2---------------------------------------(4)

Substitute equation (4) back in equation (1) we get

$x + c1 + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2$

Here c1 + c2 can be added to another and written as c

Therefore,

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

4 0

3 years ago

Brainly which is the distance between (-3,4) and (7,13)

Veseljchak [2.6K]

Answer:

Root 181

Step-by-step explanation:

Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.

Distance Formula: $\sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}$

Hope this helped!

5 0

3 years ago

I need help ‼️ #10, #11 & #13.

Cerrena [4.2K]

Answer: 10 : t = 16 11 : x = -8 13 : x = 0

Step-by-step explanation: Im sure about 10 and 11 but not too sure about 13 and explanations are too hard for me to explain

7 0

2 years ago

Gretchen made $56,750 last year. She paid $1,200 in student loan interest

iVinArrow [24]

Answer:

It's supposed to be Adjustments, but it's not on here so it's D.

3 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through the points (0, -3) and (-4, 1).

gayaneshka [121]

Find slope by calculating rise (change in y) over run (change in x).

1-(-3)/-4-0
4/-4
-1

Final answer: A

5 0

2 years ago