Answer:
<A = ( 4 * 32 - 13 ) = 115
<C = ( x + 18 ) = 50
Step-by-step explanation:
(4x - 13 ) + 15 + ( x + 18 ) = 180 ( because the total angle of a triangle is 180)
5x + 20 = 180
5x = 160
x = 32
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
Answer:
Rotation of 90° (CounterClockwise) (x, y) (-y, x)
Rotation of 180° (Both Clockwise and Counterclockwise) (x, y) (-x, -y)
Rotation of 270° (Clockwise) (x, y) (-y, x)
Rotation of 270° (CounterClockwise)
Step-by-step explanation:
The slope in the scatter plot is representative of the trend line. It shows a positive correlation between the independent variable and the dependent variable. since the slope is positive, the data increases.