Proving the Parallelogram Side Theorem Try it
Given: ABCD is a parallelogram.
Prove: ABCD and BC DA
Angles Segments Trangles Statements Reasons
ZBAC
ZBCA
ZDAC
ZDCA
B
с
Reasons
6. def. of alt. interior angles
Statements
✓ 6. ZDCA and ZBAC
are alt. interior angles
7. ZBCA ZDAC
✓ 8. ZBAC - ZDCA
9. ACAC
✓ 10. AABC CDA
11. ABCD
12. BC DA
А
D
7. alterate interior angles theorem
8. alternate interior angles theorem
9. reflexive property
10. ASA
11. CPCTC
12. CPCTC
Correct! You have completed this
exercise
Intro
Final

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

the answer is 5/14.

hope this .