Question

The triangles pictured are similar. Fill in the blanks to solve for the missing side length.(3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.Set up equivalent ratios: 4x= Response areaCross multiply: Response area =36 ​​​​​​​Solve for x: x= Response area milesSkip to navigation

Answer 1

To set up equivalent ratios for similar triangles, we first need to identify the corresponding sides. Without actual values from the triangles provided, I can guide you through the process in a general sense.

Assuming the sides of the two triangles are represented by the ratios 4:x (for the first triangle) and the other corresponding side by a value (let's assume it’s 9), we set up the equation as follows:

1. Set up the equivalent ratios:
\[
\frac{4}{9} = \frac{x}{b} \quad \text{(where \(b\) is the corresponding side length)}
\]
From this, we can cross-multiply:
\[
4b = 9x
\]

2. If you are working to solve with what you provided, let's set up equivalent ratios using your equation:
\[
4x = 36
\]

3. Cross-multiply or solve for \(x\):
- To solve for \(x\), divide both sides by 4:
\[
x = \frac{36}{4} = 9
\]

So the response areas would be filled as follows:
- Set up equivalent ratios: **4x = 36**
- Cross multiply: **(we would have another expression based on the corresponding side here)**
- Solve for x: **x = 9**

If there was a specific number that represented another side for correlation, please provide that so I can tailor the response better.