Z-4/4+8= z + 9, z - 3, z - 7, z + 7
1 answer:
The values of the expressions are -17/3, -29/3 and 13/3
<h3>How to solve the expressions?</h3>The equation is given as:
z-4/4+8= z + 9
Rewrite properly as
Subtract 8 from both sides
Multiply through by 4
z - 4 = 4z + 4
Evaluate the like terms
3z = -8
Divide by 3
z = -8/3
Substitute z = -8/3 in z - 3, z - 7 and z + 7
z - 3 = -8/3 - 3 = -17/3
z - 7 = -8/3 - 7 = -29/3
z + 7 = -8/3 + 7 = 13/3
Hence, the values of the expressions are -17/3, -29/3 and 13/3
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Answer:
Option (C)
Step-by-step explanation:
Since angle 'a' is the inscribed angle of the given triangle
Therefore, angle measure of the intercepted arc will be equal to the double of the inscribed angle.
x = 2a ⇒ a =
By the tangent-chord theorem,
"Angle between a chord and tangent measure the half of the angle measure of intercepted minor arc"
= 40°
Therefore, a = = 40°
Option (C) will be the answer.