Answer:
(a) x = 
(b) x = 
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
= 
Thus,
x + 90 + 76 + 110 + 136 = 
x + 412 = 
x =
- 412
x = 
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
= 
y = 
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 = 
z + 434 = 
z =
- 434
= 
z = 
But, x + z = 
Then;
x +
= 
x =
- 
= 
x = 
Answer:
B
Step-by-step explanation:
the reason this because vertically opposite angles the equal so it's also 72
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
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