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NikAS [45]
3 years ago
9

The graph shows the earnings of you and your friend for babysitting

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0
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The graph of y = x2 - 4x is shown on the grid.
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Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6. The probability that the sum of the numbers rolled
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Yoshi's employer pays 80% of the total cost of his family's health insurance pla, while Yodhi pays tje rest. If the total cost o
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A B R and P are four points on a circle with centre 0. A O R and C are four points on a different circle. The two circles inters
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Answer:

x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)

Step-by-step explanation:

APRB form a cyclic trapezoid

∠APO  = x° (Base angle of an isosceles triangle)

∠OPR  = ∠ORP (Base angle of an isosceles triangle)

∠ORB = ∠OBR (Base angle of an isosceles triangle)

∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)

Similarly;

∠ORB + ∠ORP + x°  = 180°

Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR  = ∠ORP we put

We also have;

∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)

Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR

Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.

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3 years ago
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