Answer:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
This equation simplified is:
Answer:
The answer to your question is x = 0 and x = 1
Step-by-step explanation:
Equation
1)
Expand
2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)
Simplify
3) 2x² -2x + 2 = -1(x² + x - 2x - 2)
4) 2x² - 2x + 2 = -x² + x + 2
Equal to zero
5) 2x² - 2x + 2 + x² - x - 2 = 0
6) 3x² - 3x = 0
Factor
7) 3x(x - 1) = 0
8) 3x₁ = 0 x₂ - 1 = 0
9) x₁ = 0/3 x₂ = 1
10) x₁ = 0 x₂ = 1
You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse.
The definition of the sine is
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.
The answer is B
Done.
Let
x: amount of pounds of cheese that Bill can buy.
We can write the following inequation for this problem
x <= 1/2
Therefore, Bill could buy up to 1/2 pound of cheese.
answer
1/2 pound of cheese (maximum)