A. ∠4 is congruent to ∠5; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
D. ∠2 and ∠3; True.
<h3>What are the properties of angles of parallel lines?</h3>
- On a common plane, two parallel lines do not intersect.
- As a result, the characteristics of parallel lines with respect to transversals are given below.
- Angles that correspond are equal.
- Vertical angles are equal to vertically opposite angles.
- Interior angles that alternate are equal.
- The exterior angles that alternate are equal.
For the give question;
Two line are cut by the transversal.
∠1 = 90.5° and ∠7 = 89.5°
Thus the result for the given statement are-
A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.
B. Two lines are parallel; True.
C. The measure of ∠6 = 90.5°; False.
∠6 = ∠7 = 89.5°.(correct)
D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.
Thus, the result for the given statement are found.
To know more about the parallel lines, here
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Answer: $1,135.15
Step-by-step explanation:
First calculate his basic pay;
= 40 * 14.60
= $584
Total for overtime worked during the week;
= 15 * 14.60 * 1.25
= $273.75
Total for overtime worked on Saturday;
= 6 * 14.60 * 1.5
= $131.40
Total for overtime worked on Sunday;
= 5 * 14.60 * 2
= $146
Sum all the figures;
= 584 + 273.75 + 131.40 + 146
= $1,135.15
probability of getting black card an ace =2/52=1/26
