Answer:
Part 1: Angle = 36°
Part 2: Angle = 72°
Step-by-step explanation:
If we have an angle "x", then
Its complement is 90 - x, and
supplement is 180 - x
Let's write equations and solve.
<u>Part 1:</u>
Complement = 1.5 times angle
90 - x = 1.5x
90 = 1.5x + x
90 = 2.5 x
x = 90/2.5 = 36
<u>Part 2:</u>
Now using 2nd equation:
3 * angle = 2 * Supplement
3x = 2 (180 - x)
3x = 360 - 2x
3x + 2x = 360
5x = 360
x = 360/5 = 72
You know you have to draw the triangles right?
Answer:
a) )12,6)
b) (12,2)
c) (4,-7)
d) (9,-7)
Step-by-step explanation:
a) Dilation
When we dilate, we multiply the given scale factor by each of the coordinates
We have this as follows;
(20 * 3/5, 10 * 3/5) = (12, 6)
2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value
We have this as;
(7+ 5, 8-6) = (12,2)
3. By reflecting across the x-axis
we have (x,y) changing to (x,-y)
so we have ;
(4,7) becomes (4,-7)
4. Rotation by 270 degrees (7,9)
If clockwise;
(x,y) becomes (y,-x)
so we have
(7,9) becoming (9,-7)
