Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. given
2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram 7. parallelogram side theorem
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Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:

Plug in 48 for
,
for
and
for b.

Therefore, width is 4 m.
Length is
m.
6d and 3d are like terms, so you take them and add them together because they're both positive. You get 9d-e-2e. -e and -2e are also like terms so you would put these together but subtract them to get 9d-3e.