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:
7. Distributive Property
8. 8x +2.5
Step-by-step explanation:
7. The equation matches the pattern ...
a(b + c) = ab + ac . . . . . . . statement of Distributive Property
with a=√2, b=5, c=4
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8. The one-time charge of 2.50 will appear added in the equation one time (and not multiplied by anything). The number of tickets (x) will be multiplied by the ticket charge (8) and added to the one-time charge. Only one answer choice does that:
8x + 2.5
Answer:
A
Step-by-step explanation:
The original expression here might be (4x3) + (4x3). This is because the
distributive property simply moves around numbers, but will not change
the value of the equation, as in the question we are looking at here.
3/4 times 5=
5 times 3=15
15/4=3 3/4
3 3/4 is answer
