2. Find the smallest number by which each of the following numbers must be multipliet to obtain a perfect cube.
(i) 243
(ii) 256
(m) 72
(iv) 675
(v) 100
3. Find the smallest number by which each of the following numbers must be divided to
obtain a perfect cube.
(i) 81
(i) 128
(iii) 135
(iv) 192
(v) 704

Step-by-step explanation:

Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "consecutive ∠s in a ▱ are supplementary"