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Dmitry [639]
2 years ago
15

The expression below is a sum of cubes. 216x3 +64 true or false?

Mathematics
1 answer:
zepelin [54]2 years ago
5 0

Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

216x^3 + 64= (6x)^3+4^3

so the expression is the sum of the cubes of 6x and 4

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I need help please. Thanks
Agata [3.3K]

Given:

m∠APD = (7x + 1)°

m∠DPC = 90°

m∠CPB = (9x - 7)°

To find:

The measure of arc ACD.

Solution:

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠APD + m∠DPC + m∠CPB = 180°

7x° + 1° + 90° + 9x° - 7° = 180°

16x° + 84° = 180°

Subtract 84° from both sides.

16x° + 84° - 84° = 180° - 84°

16x° = 96°

Divide by 16° on both sides.

x = 6

m∠APB = 180°

m∠BPD = (9x - 7)° + 90°

             = (9(6) - 7)° + 90°

             = 47° + 90°

m∠BPD = 137°

m∠APD = m∠APB + m∠BPD

             = 180° + 137°

             = 317°

<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>

m(ar ACD) = m∠APD

m(ar ACD) = 317°

The arc measure of ACD is 317°.

8 0
3 years ago
Please help me i need an answer
Sergio039 [100]
The answer is A.  It is .015 between .19137 and .17637 and also between .17637 and .16137.

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3 years ago
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