Given:
O is the midpoint of line MN
OM = OW
To prove: OW = ON
<u>Statement</u> <u>Reason</u>
1> OM = OW -------------------------> Given
2> OM = ON ---------------------------> O is the midpoint of line MN
i.e Point O bisects line MN
3> OM = OW --------------------------> From statement <1>
4> ON = OW -------------------------> OM = ON (Statement <2>)
OW = ON
<u>proved!!</u>
Answer:
C
Step-by-step explanation:
Let us factor out the 5:
5*x + 5*2y- 5*3
5(x+2y-3)
Therefore, C
<em>I hope this helps! :)</em>
Answer:
A) 0.106
Step-by-step explanation:
8e^3x + 4 = 15
Subtract 4 from each side
8e^3x + 4-4 = 15-4
8e^3x = 11
Divide each side by 8
8/8e^3x = 11/8
e^(3x) = 11/8
Take the natural log of each side
ln(e^(3x)) = ln(11/8)
3x = ln(11/8)
Divide by 3
3x/3 = 1/3 ln(11/8)
x = 1/3 ln(11/8)
x =.106151244
To the nearest thousandth
x = .106
x - y = 14
given the ratio x : y = 5 : 3
then let x = 5x and y = 3x, hence equation can be expressed as
5x + 3x = 56
8x = 56 ( divide both sides by 8 )
x = 7
Hence x = 5 × 7 = 35 and y = 3 × 7 = 21
Thus x - y = 35 - 21 = 14