All categories

2 years ago

Find the missing angles.

Mathematics

1 answer:

Feliz [49]2 years ago

7 0

Answer:

a=30 b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

You might be interested in

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

2 years ago

Which expression has a negative value? 7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30

denis23 [38]

Answer:

7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30= 49

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the slope of (8,3) and (-4,-6)?

Nonamiya [84]

<u>Answer:</u> The slope of the line formed by these two points is $\frac{3}{4}$

<u>Step-by-step explanation:</u>

To calculate the slope, we use the formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

For the coordinates given:

$x_1=8\\y_1=3\\x_2=-4\\y_2=-6$

Putting values in above equation, we get:

$Slope=\frac{(-6-3)}{(-4-8)}\\\\Slope=\frac{-9}{-12}\\\\Slope=\frac{3}{4}$

Hence, the slope of the line formed from these two coordinates is $\frac{3}{4}$

8 0

3 years ago

F(x) = sqrt(- 2x) Determine for each value whether it is in the domain of f or not.

Gnoma [55]

Answer:

only -2 is in the domain

Step-by-step explanation:

For negative values under the sqrt, there is no real answer, hence

-2x ≥ 0

only for x=-2 this is the case.

The domain represents all the valid input values for x.

4 0

2 years ago

Which graph represents the solution to the given system y=3x+2 and y=3x-1

Bogdan [553]

There wouldn't be a solution: because both equations have the same slope of 3, they would be parallel to each other. The best graph to pick would be the one with two positive steep slopes that are 3 up every one to the right.

3 0

2 years ago

Read 2 more answers