In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?
2 answers:
The measure of angle XYZ in the parallelogram is: 71°.
<h3>What are the Opposite Angles of a Parallelogram?</h3>In a parallelogram, the angles that are opposite each other are congruent.
Find m∠XWZ using the triangle sum theorem:
m∠XWZ = 180 - m∠WXZ - m∠WZX
m∠XWZ = 180 - 81 - 28
m∠XWZ = 71°
m∠XWZ = m∠XYZ [opposite angles are congruent]
m∠XYZ = 71°
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Using the combination formula, it is found that there are 47,040 ways to form a soccer team.
<h3>What is the combination formula?</h3>Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players
Since they are independent of each other, the total number of combinations will be;
Hence, There are 47,040 ways to form a soccer team.
More can be learned about the combination at brainly.com/question/25821700
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