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Answer:
a) ∠DAE = 33°; ∠ABD = 57°
b) ∠CEB = 90°
c) ∠ABE = 22°
d) ∠ADE = 15°
Step-by-step explanation:
The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.
a) ∠DAE = 90° - ∠ADE = 90° -57°
∠DAE = 33°
∠ADE = ∠ABD = 57°
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b) ∠CEB = 90° . . . . . the diagonals meet at right angles
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c) ∠ABE = 44°/2
∠ABE = 22°
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d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2
∠ADE = 15°
ANSWER

EXPLANATION
The equation of the circle with radius r and centre (a,b) is given by

The radius is

We need to determine the center of the circle from the given equation of another circle, which is,

We complete the square to obtain,





The centre of this circle is (4,3)
Hence the center of the circle whose equation we want to find is also (4,3).
With this center and radius 2, the required equation is,

Therefore the correct answer is C.
Answer:
n = 6
Step-by-step explanation:
1/2n + 3 = 6
1/2n = 3
n = 6
Answer:8/3x
Step-by-step explanation:tell if this didnt work