Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so


Part 2) Find the length of DE

substitute the value of x

Answer:
0.5 Gallons
Step-by-step explanation:
Answer:
Thank you and hope you have a great holiday.
Let's solve your equation step-by-step.
4(2x+8)=10x+2−2x+30
Step 1: Simplify both sides of the equation.
4(2x+8)=10x+2−2x+30
(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)
8x+32=10x+2+−2x+30
8x+32=(10x+−2x)+(2+30)(Combine Like Terms)
8x+32=8x+32
8x+32=8x+32
Step 2: Subtract 8x from both sides.
8x+32−8x=8x+32−8x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Answer:
All real numbers are solutions.
The answer is x=1
x^5=1
x=5[square]1
x=1