Answer:
42°
Step-by-step explanation:
Since all the angles in the figure add up to 180°...
180 - 54 = 126
3x = 126°
x = 126 ÷ 3 = 42
9514 1404 393
Answer:
(a) The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8)
Step-by-step explanation:
We are given ...
A(-4, 3.2) and A'(-10, 8)
C'( -6, -2)
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The scale factor is the ratio of corresponding coordinates:
A'x/Ax = -10/-4 = 2.5 . . . scale factor
Then the coordinates of C will be ...
C' = 2.5C
C = C'/2.5 = (-6, -2)/2.5
C = (-2.4, -0.8)
To write the equation of the line, we will use the point-slope formula.
To do this, we need a point and a slope.
We can find out slope by using the slope formula.
m = y₂ - y₁ / x₂ - x₁
So we have 5 - 9 / 3 - 1 or -4/2 which is -2.
Now let's use the point-slope formula.
y - y₁ = m(x - x₁)
Now substitute one of our points (x₁, y₁) into our formula.
So we have y - 5 = -2(x - 3).
Distributing the -2 gives us y - 5 = -2x + 6.
Moving the -5 to the right, we have y = -2x + 11.
So y = -2x + 11 is our equation.
