The x in the first triangle is: 6. The value of x in the second triangle is 8.33 meters.
To solve for x, we can use the following proportion:
corresponding side in first figure / corresponding side in second figure = first figure's scale / second figure's scale
In the first pair of figures, we have:
Corresponding side in first figure: 3 m (side AB)
Corresponding side in second figure: x m (side DE)
First figure's scale: 1 (given)
Second figure's scale: 2 (given)
Setting up the proportion, we get:
3 m / x m = 1 / 2
Cross-multiplying, we get:
3 * 2 = x
Therefore, x = 6.
The two figures in the image are similar triangles. Corresponding sides of similar triangles are in proportion.
In the first triangle, the side lengths are labeled as 3 meters, 5 meters, and 9 meters. Let the side lengths of the second triangle be x meters, 6 meters, and 15 meters.
Setting up the proportion of corresponding sides:
x / 5 = 3 / 9
Cross-multiplying:
9x = 15 * 5
9x = 75
Divide both sides by 9:
x = 75 / 9
x = 8.33 meters
Therefore, the value of x in the second triangle is 8.33 meters.