Answer:
The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle
Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:




Step-by-step explanation:
<u>Given information</u>



<u>Derived expression from the given information</u>
<em>Presumably, I think this is a combination of segments</em>

<u>Substitute values into the given expression</u>

<u>Combine like terms</u>
<em>The following is the expression</em>

<u>Subtract 3 on both sides</u>


<u>Subtract x on both sides</u>


<u>Substitute the x value into corresponding expressions to determine the final value</u>


Hope this helps!! :)
Please let me know if you have any questions
4(m + 2) expanded is 4 x m and 4 x 2
simplified: 4m + 8
Answer:
$2.57
Step-by-step explanation:
divide 5,140 by 20,
5,140/20=257=2.57