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."
Answer:
x = 24
Step-by-step explanation:
Firstly, isolate x by adding 2 to both sides.
9 = 3/8x
Then, multiply 8 to both sides.
72 = 3x
Then, divide both sides by 3.
24 = x
Area of a triangle: A= 1/2(base)(hieght)
base=x
height= 6(base)+1= 6x+1
13= 1/2 × (x)(6x+1)
(get rid of 1/2 by multiplying each side by 2)
26= (x)(6x+1)
26= (x × 6x)= 6x² (x × (+1))= x
26= 6x² + x
0= 6x²+x-26
Are either of those the answers? If not, list the options and I will be able to tell you which one is correct. Hope this helped!
