Vertically opposite angles are congruent. Thus Angle AFD is vertical to angle AFB
<h3>What are vertical angles?</h3>
Vertical angles are the angles opposite each other when two lines cross.
In other words, vertical angles are a pair of opposite angles formed by intersecting lines.
Vertically opposite angles are congruent.
Therefore, the angle vertically opposite to angle EFD is as follows;
AFB ≅ EFD (vertically opposite angles)
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Answer:
ax+16=b−3x
Step-by-step explanation:
Divide 3.52 by 2 and then take away .78 and that should be your answer
Answer:
18 cm
Step-by-step explanation:
The perimeter of a rectangle is given by the formula ...
P = 2(L +W)
Fill in the given information and solve for the width.
90 = 2(27 +W)
45 = 27 +W . . . . . divide by 2
18 = W . . . . . . . . . subtract 27
The width of the rectangle is 18 cm.
Answer:
a. 0.09 or 9%
b. 0.324 or 32.4%
c. 0.0972 or 9.72%
Step-by-step explanation:
Male applicants = 3900
Female applicants = 3600
Total applicants = 7,500
Proportion of male applicants (m) = 0.52
Proportion of female applicants (f) = 0.48
a. The probability that a random male applicant is accepted and enrolls is given by the probability of a male student being accepted multiplied by the probability of a male student enrolling:

b. The probability that a random student is accepted is given by the probability of a male applicant being accepted added to the probability of a female applicant being accepted

c. The probability that a random student is accepted and enrolls is given by the probability of a male applicant being accepted and enrolling added to the probability of a female applicant being accepted and enrolling
