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tatuchka [14]
2 years ago
14

Pleaseeeeeeeee help me

Mathematics
1 answer:
Anastasy [175]2 years ago
5 0

Answer:

<h2><u><em>42</em></u></h2>

Step-by-step explanation:

56 : x = 16 : 12

x = 56 * 12 : 16

x = 672 : 16

x = 42

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2 years ago
Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
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Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

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suter [353]
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