Dilation by a scale factor of 2 followed by reflection about the x-axis
We have to set up 2 equations:
A) x + y = 10 liters
B) .05x + .25y = 10 * .10
Multiply equation B) by -4
B) -.2x - y = -4 then add to equation A)
A) x + y = 10 liters
.8x = 6 liters
x = 7.5 liters of 5%
y = 2.5 liters of 25%
In that problem you will have to multiply, we know that Tyler used 17.04 gallons of gas, and that Maria used 6.2 times as many gallons of gas. So we are going to multiply 17.04 x 6.2 and the answer is 105.648, so Maria used 105.648 gallons of gas.
The measure of angle 2 is 104
Anymore questions need answer because x = 12
A) x -y =1
B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
