a.
<K = <M = 50 ...Opposite angels are congruent
<K + <L = 180...Consecutive angles are supplementary
50 + <L = 180 so <L = 180 - 50 = 130
<L = <N = 130...Opposite angels are congruent
50 + <N = 180 so <N = 180 - 50 = 130
b.
MN = LK = 7...Opposite sides are congruent
KN = LM = 10...Opposite sides are congruent
Deductive reasoning is one that necessarily follows, not one that likely follows (this would be an inductive reasoning).
Here the important information is that all squares are also parallellograms, which means that they also necesarily have all the properties of the parallelogram - the correct answer is D.
The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.
Given that a card is randomly chosen from 8 cards shown in figure.
We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.
Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Number of cards=8
Number of repeated cards=0
Number of cards showing Q and R =1 each.
Probability of getting Q or R is P(X=Q)+P(X=R)
= 1/8+1/8
=2/8
=1/4
=0.25
Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.
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180-50=130
x-y=130
x+y=50
2x=180
x=90
90+y=50
y=50-90
y=-40
Answer:
a = 5
Step-by-step explanation: