Answer:
Test A.
1.) 26°
Solution:
x = [tex]\frac{1}{2}[/tex] (88 - 36)
x = [tex]\frac{1}{2}[/tex] (52)
x = 26°
2.) 47°
Solution:
x = [tex]\frac{1}{2} (45+49)[/tex]
x = [tex]\frac{1}{2} (94)[/tex]
x = 47°
3.) 60°
Solution:
Finding the major arc,
360 - 120 = 240
Finding x.
x = [tex]\frac{1}{2}[/tex] (240 - 120)
x = [tex]\frac{1}{2}[/tex] (120)
x = 60°
Test B.
1.) 15
Solution:
20(6) = 8(x)
120 = 8x
15 = x
x = 15
2.) [tex]8\sqrt{3}[/tex]
Solution:
x² = 8(8 + 16)
x² = 8(24)
x² = 192
[tex]\sqrt{x^2} =\sqrt{192}[/tex]
x = [tex]8\sqrt{3}[/tex]
3.) 3.5
Solution:
3 (7) = x (6)
21 = 6x
x = 3.5
Test 3.
1. 250°
Solution:
Variable w is the major arc of the circle.
Whole circle is equal to 360°.
If the minor arc is 110, then the other must be computed.
360 - 110 = 250°
2. 68°
Solution:
x = [tex]\frac{1}{2} (90+46)[/tex]
x = [tex]\frac{1}{2}[/tex] (136)
x = 68°
