Answer:
240 = w (2w − 4) (w − 1)
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given:
V = 240
l = 2w − 4
h = w − 1
Substituting:
240 = w (2w − 4) (w − 1)
Answer:
7/3
Step-by-step explanation:
f(x) =7/(x+2)
g(x) = (x + 5)^2
f(g(-4))=
First find g(-4)
g(-4) = (-4+5)^2
=(1)^2 =1
Then find f(1)
f(1)= 7/(1+2)
= 7/3
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: 6
Step-by-step explanation: So there is 4 people and lets say I'm one of them, so I shake hands with 3 people, that's 3 handshakes, then one of those 3 people shake hands with the other 2, that's 5 handshakes, and then the last 2 shake hands with each other since they haven't, so that's 1 more which means 6 handshakes.
Sorry if this is wrong.
