Use the image to answer the question.
An illustration shows two triangles, one big and one small. In the small triangle, one side measures 11.4 inches and another side measures 18 inches. In the big triangle, the side corresponding to 11.4 inches in the small triangle measures x and the side corresponding to 18 inches measures 23.4 inches.
What is the length of x in decimal form to the nearest hundredth?
(1 point).
To find the length of x, we can set up a proportion between the small triangle and the big triangle.
The proportion is:
(Length of side in small triangle) / (Length of corresponding side in big triangle) = (Length of other side in small triangle) / (Length of other side in big triangle)
So, we have:
11.4 inches / x = 18 inches / 23.4 inches
To find x, we can cross-multiply and solve for x:
(11.4 inches) * (23.4 inches) = (18 inches) * x
265.56 = 18x
Divide both sides by 18:
265.56 / 18 = x
x ≈ 14.75
Therefore, the length of x, to the nearest hundredth, is 14.75 inches.
are you sure
I apologize for the mistake in my previous response. Let's re-calculate it correctly:
To find the length of x, we can set up a proportion between the small triangle and the big triangle.
The proportion is:
(Length of side in small triangle) / (Length of corresponding side in big triangle) = (Length of other side in small triangle) / (Length of other side in big triangle)
So, we have:
11.4 inches / x = 18 inches / 23.4 inches
To find x, we can cross-multiply and solve for x:
(11.4 inches) * (23.4 inches) = (18 inches) * x
266.76 = 18x
Divide both sides by 18:
266.76 / 18 = x
x ≈ 14.82
Therefore, the length of x, to the nearest hundredth, is approximately 14.82 inches.