Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
1 answer:
The measure of ∠C is 54°.
<h3>To solve the problem :</h3>let us assume that line n is a mirror.
∴ ∠A = ∠A' = 59°
∠B = ∠B' = 67°
∠C = ∠C'
According to property of triangles :
Sum of all angles of a triangle is 180°.
∴ A + B + C = 180°
59 + 67 + C = 180
C =
C = 54°
<h3>∴ The measure of ∠C is 54°.</h3>To know more about triangles refer to :
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Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is .
Again, the number of ways of selecting 5 students out of 11 eligible students is given by .
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)