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marissa [1.9K]
3 years ago
5

Find each value or measure. Assume that segments that appear to be tangent are tangent.

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

Step-by-step explanation:

<em>13).</em> ( x - 2 )( x + 6 ) = 9 × 20

x² + 4x - 12 = 180

x² + 4x - 192 = 0

( x - 12 )( x + 16 ) = 0

x_{1} = <em>- 16</em>

x_{2} = <em>12</em>

<em>14).</em> ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )

( x + 4 )( 4x + 4 ) = 216

4( x + 4 )( x + 1 ) = 216

( x + 4 )( x + 1 ) = 54

x² + 5x + 4 - 54 = 0

x² + 5x - 50 = 0

( x - 5 )( x + 10 ) = 0

x_{1} = <em>- 10</em>

x_{2} = <em>5</em>

<em>15).</em> x( x + 16 ) = 15²

x² + 16x - 225 = 0

( x - 9 )( x + 25 ) = 0

x_{1} = <em>- 25</em>

x_{2} = <em>9</em>

<em>16).</em> Now is your turn. You can do it!

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