So triangles bcd and aec are similar. so this makes lines ac and bc similar and lines db and ae similar.
to solve this problem, we just need to do some algebra

now we substitute those values in

which results in

then multiply both sides by 12

soon you should get x=2 with the length of ae being 16
92 dollars because 20 percent is 23 dollars so the answer is 92 dollars
Answer:
24
Step-by-step explanation:
Area of the kitchen = Area small rectangle + area large rectangle + area triangle
Area small rectangle = (8-4)*1.5
Area large rectangle = (8-4)* 3
Area triangle = (1/2)*base*height = (1/2)*4*3
Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²
The solution of the given quadratic equation is x=-2 or x=-3.
The given quadratic equation is x²+5x+6=0.
<h3>What are different methods to solve a quadratic equation?</h3>
The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.
By using the splitting middle term method we can solve x²+5x+6=0.
That is, x²+2x+3x+6=0
⇒x(x+2)+3(x+2)=0
⇒(x+2)(x+3)=0
⇒(x+2)=0, (x+3)=0
⇒x=-2 or x=-3.
Therefore, the solution of the given quadratic equation is x=-2 or x=-3.
To learn more about the quadratic equation visit:
brainly.com/question/2263981.
#SPJ1