Two parallel lines are crossed by a transversal. What is the value of k? k = 9 k = 20 k = 60 k = 71
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Answer:
k=60
Step-by-step explanation:
When a pair of parallel lines is crossed by a transversal, it will make 8 angles, pairs of vertical/opposite angles, two pairs of acute angles and two pairs of obtuse angles. All acute angles are congruent as well as all obtuse angles are congruent. Simply we can say that pairs of acute angles and pairs of obtuse angles are congruent.
From the figure attached below (by the name "Pairs of parallel lines crossed by a transversal"), we get the following equations as:
2k+11=131
Solving for k, we get
2k=131-11
2k=120
k=120/2
k=60
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Answer: 63%
Step-by-step explanation:
First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.
Assume that rate is x.
38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10
38 = (343 + x ) / 10
380 = 343 + x
x = 380 - 343
x = 37%
The survival rate is the opposite of the rate of loss which means that the survival rate is;
= 1 - rate of loss
= 1 - 37%
= 63%
