Question

Geometry- Solve the portion. Question#4
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Answer 1

Answer:

$d=18$

Step-by-step explanation:

First let's write our equation

$\frac{6}{d-6} =\frac{4}{8}$

Reduce

Definition -  reduction refers to the rewriting of an expression into a simpler form

We can reduce $\frac{4}{8}$ to $\frac{1}{2}$

Our equation is now $\frac{6}{d-6} =\frac{1}{2}$

Now we can cross multiply

Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

$d-6=12$

Add

We are adding because we want our variable to be on one side of the equation

$d=18$

To check we can show our equation but instead of d we have 18

$\frac{6}{18-6} =\frac{1}{2}$

Subtract and we get

$\frac{6}{12} =\frac{1}{2}$

Which makes it true

Have a good day!