The two values are positive 9 and negative 9
Answer:
120 deg
Step-by-step explanation:
Draw a horizontal line that passes vertices of 2 angles 125 deg and 115 deg.
This line is perpendicular with 2 vectors.
Apply the property of vertical angles and the sum of 3 angles in a triangle.
x = 180 - (125 - 90) - (115 - 90) = 120 deg
Answer:
When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
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