2x + 18 and 4x - 14 are corresponding angles...they are equal
2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16
so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50
and 4x - 14 and y are supplementary angles that add up to 180 degrees
so 50 + y = 180.....y = 180 - 50....y = 130 <==
<h2>
Answer: 816 years</h2>
This problem can be solved using the <u>Radioactive Half Life Formula:
</u>
<u />
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed (the quantity we are asked to find)
is the half life of americium-241
Knowing this, let's find from (1):
Applying natural logarithm in both sides:
<u></u>
<u>Finally:</u>
2(x+7)+3(x+1)
= 2x+14+3x+3
= 5x+17
30 and 13
x-y=17 and x+y=43
x=17+y and x=43-y, so 17+y=43-y
so y=13
43-13=30, so x=30 and y=13
