Mathematics: Solve an equation to find the missing angle

$145.50Step-by-step explanation:C = 45.50 + 2n 45.50 + 2X 100 = $145.50...

Solve an equation to find the missing angle

Ответ:

dnsnmcmdmxmx

06.08.2021

Mathematics

11.

$6x = 30 \\ x = \frac{30}{6} \\ x = 5$

Missing angle:

$6x \\ = 6 \times 5 \\ = 30$

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12.

$(4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29$

Missing angle 1:

$(4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149$

Missing angle 2:

$x + 2 \\ = 29 + 2 \\ = 31$

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13.

$5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21$

Missing angle 1:

$5x \\ = 5 \times 21 \\ = 105$

Missing angle 2:

$(3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75$

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14.

$32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9$

Missing angle:

$(6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58$

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15.

$(2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29$

Missing angle 1:

$(2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59$

Missing angle 2:

$x + 2 \\ = 29 + 2 \\ = 31$

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16.

$(3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17$

Missing angle 1:

$(3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52$

Missing angle 2:

$(4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38$

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