When a pair of figure is similar, it means the lengths have a scale factor. So we have to find what times 8 gives 16, which is the length if the bigger rectangle. 8×2=16, so we have to use the scale factor, which is 2, to multiply by the other length of the rectangle. 2×2=4, so x=4.
Next question is basically like the first one, but you have to divide instead. 12÷4=3, and so 8×3=24, so y=24. 18÷3=6, so x=6. Last one, 6÷4= 1.5. 8÷1.5=5.3 and 7÷1.5=4.6, so x=4.6 and y=5.3
Answer:
top right
Step-by-step explanation:
Answer:
z=-1
Step-by-step explanation:
First combine the like terms: -4z-11z+2z-(-6z)=-4z-11z+2z+6z=-15z+8z=-7z
Then solve after combining like terms:


(2x^2+20x+32)/x^2-2x-80
2(x^2+10x+16)/x^2-2x-80
2(x^2+8x+2x+16)/x^2-10x+8x-80
2[(x+8)(x+2)]/(x+2)(x-10)
2(x+8)/(x-10)