Can someone please help me I will give you brianliest and 100 points

20

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

12        ?

=

3         5

Using cross product

12*5 = 3?

60 = 3?

Divide each side by 3

60/3 = 3?/3

20 = ?

The unknown side is 20

20

Step-by-step explanation:

Since the triangles are similar, all the side lengths can be multiplied by a scale factor,

12/3 = 4, so the scale factor is 4, which

5 x 4 = 20, so the missing side length is 20

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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!