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mart
1 month ago
8

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F a

nd secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5. What is the length of line segment DG? 4 units 7 units 12 units 23 units
Mathematics
2 answers:
Zina [12.3K]1 month ago
7 0

Answer:

Step-by-step breakdown:

The necessary formula for this problem is

6(6+x)=5(5+x+3)

which resolves to

6(6+x)=5(8+x)

leading to

36 + 6x = 40 + 5x, and consequently

x = 4

Thus, DG equals 5 + 4 + 3, resulting in 12

babunello [11.8K]1 month ago
3 0

Answer:

The answer is C. 12

Step-by-step breakdown:

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