9514 1404 393
Answer:
True; about 120° CCW rotation about Q
Step-by-step explanation:
Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.
Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.
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<em>Additional comment</em>
If choices of rotation angle are ±135° or ±165°, the best choice would be ...
135°
If it is 40% off, it means you have to pay 60% of its price.
$67 × 60/100 = $40.20
the 8% of sales tax is added from the $40.20
$40.20 × 8/100 = $3.22
total price = $40.20 + $3.22 = $43.42
Answer:
y = -3x - 11
Step-by-step explanation:
Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.
Point-slope formula: y - y = m(x - x)
Plug in the slope and point
y - (-5) = -3(x - (-2))
Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.
y + 5 = -3x - 6
Subtract the 5 from both sides
y = -3x - 11
The equation of the line is y = -3x - 11
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is
The y-intercept or initial value is
substitute
Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T
