Please help!! Someone said it was d.... and I think it’s either b or c..... now I am very confused :( giving 12-15 points!!

Geometry- Solve the portion. Question#4<br>

kotykmax [81]

Answer:

$d=18$

Step-by-step explanation:

<h3>First let's write our equation</h3><h3 /><h3> $\frac{6}{d-6} =\frac{4}{8}$ </h3><h3 /><h3>Reduce</h3>

<em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>

<h3 />

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

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

$d-6=12$

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

$d=18$

<h3>To check we can show our equation but instead of d we have 18</h3><h3 />

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

Subtract and we get

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

Which makes it true

3 0

2 years ago

Find the missing length indicated <br> A) 25<br> B) 5<br> C) 8<br> D) 3

Nonamiya [84]

Given:

The figure of a triangle.

To find:

The missing length.

Solution:

Let x be the missing length.

Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.

Using Basic proportionality theorem, we get

$\dfrac{6}{8-6}=\dfrac{12-x}{x}$