What comes next in the following pattern? 12, 11, 15, 14, __

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

7 0

Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

$\bf{Grace}\sf{ful\rm{Teen$

Enjoy your day!

Lelechka [254]3 years ago

5 0

17,16. That what comes next I think

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Anit [1.1K]

Hi!

Your answer is 52.

To start off, let's start with some facts that will help us solve this:

Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.

Triangles (all of them) have angles that add up to 180 degrees.

We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:

$67 +?=180$

$?=113$

That angle is 113 degrees.

Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:

$15+113+x=180$