Match each statement with the correct reasoning in the proof below. А
B
M
D
Given: AM = CM, BM - DM
Prove: ABCD is a parallelogram.
Drag and drop an answer choice into each empty box below.
segment AM-segment CM; segment BM= segment DM SAS congruence criterion If both pairs of opposite sides are congruent, a quadrilateral is a parallelogram
ZAMB= 2CMD; ZAMD= _CMB If both pairs of opposite angles are congruent, a quadrilateral is a parallelogram AAMB= ACMD; AAMD=ACMB
Corresponding parts of congruent triangles are congruent Vertical angles are congruent SSS congruence criterion
Reason
Statement
Given

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

hard

step-by-step explanation:

96 39 cause 135 -96=39 im smart (i used a calculater)

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages