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Pepsi [2]
3 years ago
7

Which is the best estimate for the sum of 3/8 and 1/12¿

Mathematics
1 answer:
SashulF [63]3 years ago
4 0
Estimating is an educated guess, so 3/8 is just less than half, and 1/12 is just a bit more than 0.  So you could estimate that 3/8 + 1/12 = roughly 1/2

<span> if you add 3/8 and 1/12 you get 11/24</span>
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PA is a tangent, PBC is a secant, AOC is a diameter, AD and DC are chords

Angle APC = 57, Angle DC = 34

<em>[measurements are in degrees]</em>

(A) Arc BA = 66

Since AOC is a diameter, Arc AC is 180. Angle APC is equal to half the difference between BA and AC.

APC = 1/2 (AC - BA)

57 = 1/2 (180 - BA)

114 = 180 - BA

BA = 66

(B) Arc BD = 80

BD is 360 minus BA, AC, and DC.

BD = 360 - BA - AC - DC

BD = 360 - 180 - 66 - 34

BD = 80

(C) Angle ACD = 73

ACD is half of ABD, which is BA plus BD.

ACD = 1/2 (BA + BD)

ACD = 1/2 (66 + 80)

ACD = 1/2 * 146

ACD = 73

(D) Angle BED = 130

BED is the same as AEC, which is 180 minus ECA and EAC.

ECA is half BA, and EAC is half DC.

BED = 180 - 1/2 BA - 1/2 DC

BED = 180 - 1/2 * 66 - 1/2 * 34

BED = 180 - 33 - 17

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(E) Angle PCA = 33

PCA is half BA

PCA = 1/2 BA

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(F) Angle PAD = 73

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PAD = 1/2 (BA + BD)

PAD = 1/2 (66 + 80)

PAD = 1/2 * 146

PAD = 73

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