Question

What is the value of d to the nearest tenth?

Answer 1

Answer:
`d=13.8`

Explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

`(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)`

Having this expression, the next step is to solve for "d":

Use Distributive property:

`476=256+16d`

Subtract 256 from both sides:

`476-256=-256+256+16d`

`220=16d`

Divide both sides by 16:

`(220)/(16)=(16d)/(16)\\\\13.75=d`

The value of "d" rounded to the nearest tenth is:

`d=13.8`