Find the scale factor of the larger figure to the bigger figure.5-8 solve for x. the polygons in each pair are similar.

See below in BOLD.

Step-by-step explanation:

What you need to do is identify the corresponding sides in the polygon than divide the larger length by the smaller.

3.  The side length 8 corresponds to the 4 in the other polygon.

So the scale factor  is 8/4 = 2.

4. Scale Factor = 24/20 = 1.2.

5. 40/32  = 5x / 24

5x = 40*24 / 32

5x = 30

x = 6.

6. 25/30 = 4x + 7 / 42

5/6 = 4x + 7 / 42

6(4x + 7) = 210

24x = 210 - 42 = 168

x = 168/24

x = 7.

7. 40/24 = 3x + 5 / 21

5/3 = (3x + 5) / 21

9x + 15 = 105

9x = 90

x = 10.

8.   24 / 40 = (x + 3) / 15

3/5 = (x + 3) / 15

5x + 15 = 45

5x = 30

x = 6.

answer: what are the following choices

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!