Question

find de if the length of dg is 33. d 3x - 28 e 3x - 30 f x g

Explanation:

Step1: Set up an equation

Since $DG=DE + EF+FG$, we have $(3x - 28)+(3x - 30)+x=33$.

Step2: Combine like - terms

Combining the $x$ terms and the constant terms, we get $(3x+3x + x)+(-28-30)=33$, which simplifies to $7x-58 = 33$.

Step3: Solve for $x$

Add 58 to both sides of the equation: $7x-58 + 58=33 + 58$, so $7x=91$. Then divide both sides by 7: $x=\frac{91}{7}=13$.

Step4: Find the length of $DE$

Substitute $x = 13$ into the expression for $DE$. $DE=3x-28$. So $DE=3\times13-28=39 - 28=11$.

Answer:

11