The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
Answer:
3.5
Step-by-step explanation:
5.99+0.65=6.64
6.64-3.14=3.5
Answer:
(0, 3)
Step-by-step explanation:
Any point on the y-axis doesn't move when reflected across the y-axis. The x-coordinate must be zero. The only choice with that x-coordinate is (0, 3).
Answer: (-1, 2)
Step-by-step explanation:
<u>It's a counter-clockwise rotation, that means (x, y) changes to (y, -x).</u>
(-2, -1) ⇒ (-1, -(-2)) ⇒ (-1, 2)
<u>If it's a clockwise rotation, then (x, y) will change to (-y, x)</u>
(-2, -1) ⇒ (-(-1), -2) ⇒ (1, -2)
True, 1/2 cannot be reduced.