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:
1/2
Step-by-step explanation:
For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!
Answer:
275.4cm
Step-by-step explanation:
A = pi*r^2
r = 9
A = 3.14 * 9^2
A = 3.14 * 81
A = 275.4
Hope this helps!
Answer:
8(15-m)
Step-by-step explanation:
just took the test
4x = 6x -10
2x = 10
x = 5
answer
x = 5
