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sashaice [31]
1 year ago
11

Solve for X, 132 is an exterior angle. Show work please!

Mathematics
2 answers:
Darina [25.2K]1 year ago
6 0

Answer:

105/9

Step-by-step explanation:

180 - 132 = 48 degrees

180 - 48 - 45

= 180 - 93

= 87 degrees

<2 = 180 - 87

= 93 degrees

=> 9x - 12 = 93

=> 9x = 105

=> x = 105/9

ruslelena [56]1 year ago
4 0

Answer:

x = 12°

m∠2 = 96°

Find the missing inside angle for right triangle:

180° - 132°

48°

Find the missing angle for left triangle:

90° - 48°

42°

As it is an isosceles triangle, the angles will be similar.

Thus solve:

9x - 12 + 42° + 42° = 180°

9x + 72° = 180°

9x = 180° - 72°

9x = 108°

x = 108°/9

x = 12°

Therefore m∠2 :

m∠2 = 9x - 12

m∠2 = 9(12) - 12

m∠2 = 96°

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Work Shown:

\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Score}\\\cline{1-2}9 & 90\\\cline{1-2}18 & 80\\\cline{1-2}15 & 70\\\cline{1-2}\end{array}

Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.

\begin{array}{|c|c|c|} \cline{1-3}\text{Number of People} & \text{Score} & \text{Number*Score}\\\cline{1-3}9 & 90 & 810\\\cline{1-3}18 & 80 & 1440\\\cline{1-3}15 & 70 & 1050\\\cline{1-3}\end{array}

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The mean is 3300/42 =78.571 approximately which rounds to 78.6

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The answer could be 1 or 2
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Answer:

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Step-by-step explanation:

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