the answer i got was 18.12
The LCD is x^2+3x+2 = (x+2)(x+1)
The goal is to get each fraction to have the denominator be equal to the LCD
Afterward we can add the fractions
x/(x^2+3x+2) + 3/(x+1)
x/((x+2)(x+1)) + 3/(x+1)
x/((x+2)(x+1)) + (3(x+2))/((x+2)(x+1))
(x+3(x+2))/((x+2)(x+1))
(x+3x+6)/(x^2+3x+2)
(4x+6)/(x^2+3x+2)
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Final Answer: 4x+6
Note: you can factor 4x+6 to get 2(2x+3)
Answer:

Step-by-step explanation:
In the given image, you can observe we have two right triangles.
Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.
If the triangles are similar, we can define the following proportion between sides.

Now we use the Pythagorean's Theorem to find each hypothenuse.


Therefore, the missing sides are

Answer:

Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC

The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so

substitute

we have



remember that




The measures of triangle CGH are 
Triangle GHE


remember that

substitute and solve for m<GEH



The measures of triangle GHE are 