See the attached sketch. Let 
denote angle ABC and 
denote angle CBD. Then 
.
From the sketch, we see that
Write 
in terms of 
. Recall the angle sum identity for tangent:
This gives us
and plugging in 
leaves us with
and so AD = 5 * 37/55 = 37/11.
7.80=.05(66)+.1x
7.80=3.3+.1x
-3.3 -3.3
4.5=.1x
/.1 /.1
45 = x
45 dimes
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Answer:
see explanation
Step-by-step explanation:
If (2x + 1) is a factor then x = - 
is a root and P(- ) = 0 ← Factor theorem
P(- )
= 2(- )³ - 11(- )² - 4(- ) + 1
= - 
- 
+ 2 + 1
= - 
+ 3
= - 3 + 3
= 0
Since P(- ) = 0 then g(x) is a factor of P(x)
The answer is five remainder four
