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11Alexandr11 [23.1K]
3 years ago
12

Write 43 as a sum of powers of 2. (2 Has to be the Base not the exponent)

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

2⁰ + 2¹+ 2⁵ +2³ = 43

Step-by-step explanation:

since 43 is odd, we know 2⁰ or 1 must be one of the sums

43 - 2⁰ = 42

42 - 2¹ = 40

16 = 2⁴

40-2(16) = 40 - 2⁵ = 8

8 = 2³

adding this all together

2⁰ + 2¹+ 2⁵ +2³ = 43

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1. m∠QPR =<br><br> 2. m∠QTP =<br><br> 3. RP =<br> Show all the work
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1. 30°

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Step-by-step explanation:

I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)

1.

The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.

2.

If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.

3.

Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.

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