Answer:
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<em></em>
<em></em>
Step-by-step explanation:
Required
Show that:

To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside
are alternate to
and 
i.e.


Using angle on a straight line theorem, we have:

Substitute values for (1) and (2)

Rewrite as:
<em></em>
<em> -- proved</em>
Answer:
a) 36°
b ) 18°
Step-by-step explanation:
The formula is given as:
The measure of each exterior angle =360°/n, where n = number of sides of a polygon.
a) decagon
Decagon = 10 sides
Hence, the measure of each exterior angle = 360°/10
= 36°
b) 20-gon
20-gon = 20 sides
Hence, the measure of each exterior angle = 360°/20
= 18°
Answer: 152
Step-by-step explanation: 19x^2 + 152
19(0)^2 + 152
0 + 152
Ans = 152
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.
<h3>How to determine the balance of a bank account</h3>
Here in this question we should understand the situation like a game with the following rules for the account balance:
- A check from the account means a <em>subtraction</em> of money.
- A deposit means an <em>addition</em> of money.
- Service fee means also a <em>subtraction</em> of money.
After a careful reading, we apply the rules described above and have the following calculation:
x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15
x = $ 116
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. 
To learn more on bank accounts, we kindly invite to check this verifed question: brainly.com/question/16953228