Question

Using the picture below, set up a proportion and solve for d if a = 7 b = 4, and c =2
A
D
d
a
C
E
C
b
B
(1 point)
Responses

d = 14
d = 14

d = 8
d = 8

d = 25.9
d = 25.9

d = 21

Answer 1

To set up a proportion based on the information provided, we assume that points A, B, C, D, and E create a proportional relationship involving the lengths \( a, b, c, \) and \( d \).

Based on the context and typical relationships between these variables, we may establish a proportion as follows:

\[
\frac{a}{c} = \frac{d}{b}
\]

Substituting the known values \( a = 7 \), \( b = 4 \), and \( c = 2 \) into the equation:

\[
\frac{7}{2} = \frac{d}{4}
\]

Now we can cross-multiply to solve for d:

\[
7 \cdot 4 = 2 \cdot d
\]

This simplifies to:

\[
28 = 2d
\]

Now, divide both sides by 2:

\[
d = \frac{28}{2} = 14
\]

Thus, the solution for \( d \) is:

**d = 14**