Complete the proof
given: abcd is a
parallelogram
ac bd
prove: abcd is a rectangle
reasons
a
statements
abcd is a
ncbd
ad bc
given
sss triangle
congruence theorem
срстс
mzdab = 90°
mzcba = 90°
the quad is a both
pairs of opposite sides are
congruent
“давс а двad
reflexive property
of congruence
consecutive angles in a
are supplementary
zdab = zcba
zdab and zcba
are supplementary
ab = ab
definition of
rectangle
7. congruent supp.
angles are right angles
8 abcd is a rectangle
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step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

idk

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2

step-by-step explanation: