<span>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 "</span><span>consecutive ∠s in a ▱ are supplementary"</span>
Answer:
correct
Step-by-step explanation:
dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.
for example
60 : 36 ( divide both parts by 6 )
= 10 : 6 ← equivalent ratio ( divide both parts by 2 )
= 5 : 3 ← equivalent ratio in simplest form
in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is
60 : 36 ( divide both parts by 12 )
= 5 : 3
Answer:
y=37x-------------1
y=64.75x----------2
Step-by-step explanation:
Given data
the charge for 4 hours = $37
the charge for 7 hours= $64.75
let the amount he charges be y
and let the number of hours be x
The expression for the Total charges is given as
y=37x-------------1
y=64.75x----------2
Answer:
Step-by-step explanation:
Since the polygons are similar, we can use the formula: . Using cross-multiplication
, we obtain: .