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Vladimir [108]
3 years ago
5

Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle

measure of 180 degrees, what is the measure (in degrees) of Angle M?
Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

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Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

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Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

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(4r+1)(3r-1) = 0

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Tn = 6(1/3)^(n-1)

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