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mash [69]
2 years ago
15

Going into the final exam, which will count as two tests, Brooke has test scores of 75, 82, 70, 65, and 90. What score does Broo

ke need on the final in order to have an
average score of 80?
Mathematics
1 answer:
dusya [7]2 years ago
4 0
Brooke needs to get a 98 on the final to get an average of 80.
So you know that the total of the five given score is 382 by adding all the scores.
Now you multiply the average, 80 by 6 for the total of six tests including the final which is 480
Then you subtract 480-382 to find your answer.
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Answer:

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Step-by-step explanation:

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

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∠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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Step-by-step explanation:

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