2. find the value of x to the nearest tenth. a. 4.5 b. 5.4 c. 6.3 d. 7.2 3. find the value of x. a. 7 b. 7.5 c. 8 d. 8.5 4. fg ⊥ op, rs ⊥ oq. fg=40, rs=40, op=15. find x. a. 15 b. 17 c. 20 d. 21 5. find the value of x to the nearest tenth. a. 7.5 b. 7.9 c. 8.1 d. 8.9

Part 2) Option b. 5.4

Part 3) Option c. 8

Part 4) Option a. 15

Part 5) Option d. 8.9

Step-by-step explanation:

Part 2) Find the value of x to the nearest tenth

we know that

x is the radius of the circle

Applying the Pythagoras Theorem

Part 3) Find the value of x

In this problem

x=8

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

Applying the Pythagoras Theorem

step 2

Find the value of x

Applying the Pythagoras Theorem

substitute

Part 4) Find the value of x

In this problem

x=OP=15

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

In the right triangle FPO

Applying the Pythagoras Theorem

step 2

Find the value of x

In the right triangle RQO

Applying the Pythagoras Theorem

Part 5) Find the value of x

Applying the Pythagoras Theorem

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have