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

Question

2 years 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:

USPshnik [31] · Answer 1 · 2022-01-15T10:26:27+03:00

USPshnik [31]2 years ago

7 0

Answer:

Step-by-step explanation:

The formula we need here is

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

which simplifies to

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

which simplifies to

36 + 6x = 40 + 5x and

x = 4

So DG = 5 + 4 + 3 which is 12

pentagon [3] · Answer 2 · 2022-01-15T11:40:09+03:00

pentagon [3]2 years ago

3 0

Answer:

The correct answer is C. 12

Step-by-step explanation:

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