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:
n=3.5
Step-by-step explanation:
2²=4
14÷4=3.5
3.5×4=14
3.5×2²=14
Answer:
i think its x= 0.75
Step-by-step explanation:
substitute:
8x × 5 = 40x
8x × 10 = 80x
8 × 5 = 40
5 × 10 =50
40x + 80x = 40 + 50
add like terms
so it'd be:
120x = 90
now divide 90 by 120 and that would give you the value of x alone which is 0.75
Answer:
4 ten thousands, 8 thousands, 1 hundred, 4 tens, 8 ones.
Step-by-step explanation:
Answer:
4 / 3
Step-by-step explanation:
cos θ = 3 / 5
cos 53 = 3 / 5
θ = 53
tan θ = sin θ / cos θ
sin 53 = 4 / 5
tan 53 = sin 53 / cos 53
= ( 4 / 5 ) / ( 3 / 5 )
= ( 4 / 5 ) x ( 5 / 3 )
= ( 4 x 5 ) / ( 5 x 3 )
tan 53 = 4 / 3
