The value of each measure based on the incenter is illustrated below.
<h3>What is incenter?</h3>
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
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The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700,
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664 yay!
Answer:800
Step-by-step explanation:
75% = 0.75
600/0.75 = x/1
Cross multiply:
0.75x = 600
Divide 0.75 to both sides:
x = 800
So the full does is 800mg.
F [g(x)]
= 5(6x) - 1
= 30x - 1
g [f(x)]
= 6(5x - 1)
= 30x - 6
g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54
Answer:
4√2 or 5.66 to the nearest hundredth.
Step-by-step explanation:
Applying the Pythagoras Theorem:_
c^2 = a^2 + b^2
c^2 = 4^2 + 4^2
c^2 = 32
c = √32
c = 4√2