Answer:
ED = 32.5
BE = 14.4
Step-by-step explanation:
Ab = 20
AC = AB + 5 = 20 + 5 = 25
AC / AB = 1.25
AB * 1.25 = AC
This means that:
AE * 1.25 = ED
CD / 1.25 = BE
AE * 1.25 = ED
26 * 1.25 = 32.5
CD / 1.25 = BE
18 / 1.25 = 14.4
<h3>
Answer: Choice B</h3>
Reflection along y axis
Translation: which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.
1. 1/5 = x - 9 / x
2. Cross multiply x = 5 (x - 9)
3. Distribute x = 5x - 45
4. Move the variable and change the sign x - 5x = -45
5. Add like terms -4x = -45
6. Divide x = 45 / 4
So the solution is x = 45 / 4 or 11.25
That is an isosceles right triangle. (Also known as a 45 45 90 triangle).
The digits in the thousands period on 9827273 are 8 2 and 7