exam Maths Puzzle Numerical Ability

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ac passes through point O, and OB is perpendicular to OD. what is the measure of angle AOD.
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Can someone please help me I don't understand it....

Directions: Find all positive values for K for which each of the following can be factored.

Problem#1

x^2 + x - k

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Jack usually mows his lawn in 4 hours. Marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the lawn together?