Using the definition of vertical angles, the value of z is: 15.
<h3>Vertical Angles Pair</h3>
The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.
Thus:
2z + 10 = 40
2z = 40 - 10
2z = 30
z = 30/2
z = 15
Therefore, using the definition of vertical angles, the value of z is: 15.
Learn more about vertical angles on:
brainly.com/question/1673457
Using the Pythagorean theorem:
WY =√(5^2 + 12^2)
WY = √(25 +144)
WY = √169
WY = 13 mm
Metallic ribbon: 16$ for 4ft
Dividing both sides by four, we get:
1 feet -- 4 dollars
White ribbon 3$ for 1 feet
1 feet -- 3 dollars
<h2><u><em>
Therefore, the Metallic ribbon costs more per feet.</em></u></h2>