If we take the equation and multiply out the left side, we get....

+ 2xk +

=

+ x +

The x^2 and k^2 cancel out on both sides leaving us with this...
2kx = x
If we divide both sides by 2x to isolate k,
k ends up = 1/2
Answer:
Step-by-step explanation:
AS we can see the lines are parallel so
2 ( 4x - 3) + 7(x + 3) = 180° ( being so - interior angles)
8x - 6° + 7x + 21° = 180°
15x + 15° = 180°
15x = 180° - 15°
15x = 165°
x = 165° / 15
Therefore x = 11°
Now
2 ( 4x - 3) = 2 ( 4 * 11° - 3°) = 2 ( 44 - 3)° = 2* 41 = 82°
7(x + 3 ) = 7 ( 11° + 3°) = 7 * 14 = 98°
Answer:
38.2%
Step-by-step explanation:
1/7 ≈ 14.29%
1/10 = 10.00%
3/8 = 37.50%
The total that Johnny has allocated for food, gas, and rent is ...
14.29% + 10.00% + 37.50% = 61.79%
So, the remaining amount is ...
100% -61.79% = 38.21%
About 38.2% of Johnny's income remains.
Graph b would be my guess!
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem

Christina had to travel 125 m from the three-way junction to the church.