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amm1812
3 years ago
11

Solve for CD using the following image

Mathematics
2 answers:
zalisa [80]3 years ago
4 0

Answer:

CD = CB - DB \\ CD = 12 - (x - 9) \\ { \tt{but \: CD = 2x - 9}} : \\ 2x - 9 = 21 - x \\ 3x = 30 \\ x = 10 \\  \\ { \bf{CD = 12 - (10 - 9)}} \\ CD = 11

AleksandrR [38]3 years ago
3 0

<em>Here</em><em>,</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>BC</em><em> </em><em>=</em><em> </em><em>12</em>

<em> </em><em>CD</em><em>+</em><em>BD</em><em>=</em><em>12</em>

<em>2x</em><em>-</em><em>9</em><em>+</em><em>x</em><em>-</em><em>9</em><em> </em><em>=</em><em>12</em>

<em>3x</em><em>-</em><em>18</em><em> </em><em>12</em>

<em>3x</em><em> </em><em>=</em><em>12</em><em>+</em><em>18</em>

<em>x</em><em> </em><em>=</em><em>30</em><em>/</em><em>3</em>

<em>x</em><em> </em><em>=</em><em>10</em>

<em>Now</em><em>,</em>

<em> </em><em> </em><em> </em><em> </em><em>CD</em><em> </em><em>=</em><em> </em><em>2x</em><em>-</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>×</em><em>10</em><em>-</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>20</em><em>-</em><em>9</em>

= 11

Therefore,CD = 11

Hope this solution may help you!!☺

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