HELP I will give Brainliest! Find the measure of the angle indicated.

Mathematics

1 answer:

devlian [24]3 years ago

4 0

Answer:

60 degrees.

Step-by-step explanation:

Do you see those red points on the lines? Those red arrows indicate that the lines are parallel, meaning, when there's a line crossing through two parallel lines, are vertical and adjacent angles are the same.

In this case, 11x-6 is equal to 10x.

11x-6 = 10x

-6 = -1x

divide -x both sides, you get x = 6.

Now you know that 11x - 6 = 60, because 11x - 6 = 10x, and since x = 6, 10x = 60.

---------------------------------------------------------------------------------------------------------

Since 10x is on a straight line, the angle next to it adds up to 180, so...

10x + y = 180.

We know that 10x = 60, so 60 + y = 180.

subtract both sides by 60, you get y = 120.

Now, you solved the whole graph.

You might be interested in

Azul finished his 10-mile run in 65 minutes. Assuming he ran the same pace throughout the entire distance, how long did it take

meriva

6 minutes and 30 seconds for each mile.

6 0

3 years ago

Read 2 more answers

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as: