Question

What is the value of x?
12 units
10
15 units
20 units
24 units

Answer 1

By setting up a proportion with the scale ratio 0.5 inch / 20 miles = 12.25 inches / x miles and cross multiplying, we find that x = 490 miles.

Step-by-step explanation:

To find the value of x, we need to set up a proportion based on the information given. For this scenario, we use the given scale ratio to find the length in miles when the scale length is 12.25 inches.

The proportion for the scale is:

• 0.5 inch / 20 miles = 12.25 inches / x miles

Next, we cross multiply to solve for x:

• 0.5 * x = 12.25 * 20
• x = (12.25 * 20) / 0.5
• x = 245 / 0.5
• x = 490 miles

Therefore, the value of x is 490 miles.

Answer 2

x = 20 units

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of Δ SRQ )² = (part of hypotenuse below it ) × ( whole hypotenuse ), so

x² = 16 × (16 + 9) = 16 × 25 = 400 (take the square root of both sides )

x =
`√(400)` = 20