Can someone explain this step by step pls :)

Ok so we know that the angle of a straight line is 180 on both sides

We have to find x.

The sum of 4x+6 and 11x-6 will equal 180

Lets add them together to equal 180

15x=180

Now we divide both sides by 15 to remove the 15

We get x=12

Now lets insert 12 into 4x+6 to get the answer we need

4(12)+6= ABD Angle

48+6=ABD Angle

54=ABD Angle

The answer is 54°

, and

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

10.4 is the answer for you