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Yuri [45]
4 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]4 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]4 years ago
3 0

Answer:

The correct answer is C. 12

Step-by-step explanation:

I just took the test

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Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula \frac{y_2-y_1}{x_2-x_1}. x_1 and y_1 represent the x and y values of one point, and x_2 and y_2 represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for x_1, 5 for y_1, 8 for x_2, and 9 for y_2 then solve:

\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1

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2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.

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