Answer:
x = 3
Step-by-step explanation:
1. Because the two triangles are similar, it means that the only difference between them is their side lengths.
2. To find x in similar triangles, you first have to find how many times larger one side length in a triangle is than the other. To do this, you have to divide one of the larger triangle's sides with the corresponding side of the smaller triangle.
3. 8 and 6 are corresponding, and so are 6 and 4.5. 8/6 is equal to 1 1/3, and 6/4.5 is also equal to 1 1/3.
4. Since the side lengths of the larger triangle is 1 1/3 greater than the other, (4/3)x = 4.
5. Now, let's solve the equation (4/3)x = 4
- 3/4 · (4/3)x = 3/4 · 4
- x = 12/4
- x = 3
6. Therefore, x is equal to 3.
