Question
The two quadrilaterals are similar. What is the value of x ? (1 point)
Quadrilateral 1 2 by 5 quadrilateral 2 3.6 by x
Quadrilateral 1 2 by 5 quadrilateral 2 3.6 by x
Answers
Answered by
GPT 3.5
To determine the value of x, we can set up a proportion using the corresponding sides of the similar quadrilaterals:
(Quadrilateral 1 side length) / (Quadrilateral 2 side length) = (Quadrilateral 1 corresponding side length) / (Quadrilateral 2 corresponding side length)
In this case, the side lengths we can use are 2 and 3.6, and the corresponding sides are 5 and x. So, the proportion becomes:
2/3.6 = 5/x
To solve for x, we can cross-multiply:
2x = 3.6*5
2x = 18
x = 18/2
x = 9
Therefore, the value of x is 9.
(Quadrilateral 1 side length) / (Quadrilateral 2 side length) = (Quadrilateral 1 corresponding side length) / (Quadrilateral 2 corresponding side length)
In this case, the side lengths we can use are 2 and 3.6, and the corresponding sides are 5 and x. So, the proportion becomes:
2/3.6 = 5/x
To solve for x, we can cross-multiply:
2x = 3.6*5
2x = 18
x = 18/2
x = 9
Therefore, the value of x is 9.