Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
Answer:
The ounces of oil needed is 5 ounces of oil
Step-by-step explanation:
The first thing to do here is to calculate the volume of the lemon-scented candle given.
Looking at shape the volume can be calculated using the formula L * B * H
where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm
The volume V is thus = 10 * 8 * 25 = 2,000 cm^3
The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax
That will be = 0.0025 * 2,000 = 5 ounces
Answer:
240
Step-by-step explanation:
240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60
Answer:
x and y do not show direct variation.
Step-by-step explanation:
The formula for direct variation is
y = kx Divide each side by y
k = y/x
k should have the same value for every point except, of course, (0,0)
For the first point,
k = 2/(-1) = -2
For the third point,
k = 2/1 = 2
The values of k are different, so x and y <em>do not</em> show direct variation.
