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lara [203]
3 years ago
8

AB and BC are tangent to circle D. Find x if AB = 2x + 9 and BC = 3x + 6. Find x.

Mathematics
2 answers:
mestny [16]3 years ago
6 0
It woulds be x+15 because if you take 2x and subtracted from the 3x then you get x and then you add the 9 and 6 witch you get 15 
sergij07 [2.7K]3 years ago
4 0

Answer:

the value of X comes out to be equal to 3

Step-by-step explanation:

since AB and BC are tangent to the circle D

then the length of the tangent will be same

AB will be equal to BC

where,

AB = 2 x + 9

and

BC = 3 x + 6

2 x + 9 = 3 x + 6

3 x - 2 x = 9 - 6

    x = 3

hence, the value of X comes out to be equal to 3

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Substituting the measures of ∠1 and ∠2, we get;

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Thus, we have;

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\angle 1=55^{\circ}

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