Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
0.59 = (1 - 0.000125)^^x where x = number of years of decay
ln 0.59 = x ln(0.999875)
x = 4221 to nearest year
(1,2)
The solution is where the lines intersect so you can see they intersect at (1,2)
Divide 384 by 12 then multiply it by 5 to give you 160
Area = pi x radius squared... so
a = pi x 10in^2
a = 314.159
