Triangle K L J. Side K L is 23.1 feet, J L is 20.1 feet, J K is 16.8 feet. Angle K is 58 degrees, L is 45 degrees, J is 77 degrees. Triangle E F G. Side E F is 6.7 feet, F G is 5.6 feet, G E is blank. Angle E is 45 degrees, F is 77 degrees, G is 58 degrees. Given these similar triangles, what is the common ratio of triangle LJK to triangle EFG? 1.5 2 3 4

step-by-step explanation:

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

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: