9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The sum of segments is used:
EF +FG = EG
3x +(5x +16) = 11x -2 . . . . substitute given expressions
8x +18 = 11x . . . . . . . . add 2
18 = 3x . . . . . . . . subtract 8x
6 = x . . . . . . divide by 3
The value of the variable is 6.
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<em>Check</em>
The segment lengths are ...
EF = 3x = 3·6 = 18
FG = 5x+16 = 5·6 +16 = 46
EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct
For this case we have the following function:
f (x) = (1/6) ^ x
We must evaluate the function for x = 3
We have then:
f (3) = (1/6) ^ 3
Rewriting:
f (3) = (1/216)
Answer:
The function evaluated at x = 3 is:
f (3) = (1/216)
option C
Answer: 5
Step-by-step explanation:
First we should do the first step: 7+2=9, The they lose 4 which then 9-4
which would equal 5
Answer:
132°
Step-by-step explanation:
∠AOB = ∠EOD = 3x ( vertical angles )
∠AOB + ∠BOC = 90, that is
3x + 0.5x + 34 = 90
3.5x + 34 = 90 ( subtract 34 from both sides )
3.5x = 56 ( divide both sides by 3.5 )
x = 16
∠AOE + ∠EOD = 180 ( straight angle )
∠AOE + 3x = 180
∠AOE + (3 × 16) = 180
∠AOE + 48 = 180 ( subtract 48 from both sides )
∠AOE = 132°
