Question

Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!

Answer 1

Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK  = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5