Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
It would be 2 root 2
bc it simplifies to root 2 and root 4
root 4 simplifies to 2
so its 2√2
Answer:
option (D) is the right answer
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $2,500
Interest rate= 4%
Number of periods= 2 years
<u>First, we will determine the interest earned using the simple interest formula:</u>
I= P*r*t
I= 2,500*0.04*2
I=$200
<u>Now, using the compound interest formula:</u>
I= [P*(1 + r)^t] - P
r= 0.04/2= 0.02 (semi annual interest rate)
t=2*2= 4 semesters
I= [2,500*(1.02^4)] - 2,500
I= $206.08
Answer:
12 is the answer
Step-by-step explanation:
