Eliana drove her car 81 \text{ km}81 km81, space, k, m and used 999 liters of fuel. she wants to know how many kilometers (x)(x)left parenthesis, x, right parenthesis she can drive on liters of fuel. she assumes her car will continue consuming fuel at the same rate.

198 km

Step-by-step explanation:

Eliana drove her car 81 km  and used 9  liters of fuel.

She wants to know how many kilometers x she can drive on 22 liters of fuel.

Thus,

81 km - 9 liters

x km - 22 liters

Write a proportion:

Cross multiply

The value of x is 15.56.

Solution:

Tangent and Secant theorem:

If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.

BE = 22 BD = x, CD = x

BC = x + x = 2x

By the tangent and secant theorem,

Divide by 2 on both sides of the equation, we get

Take square root on both side of the equation.

x = 15.56

Hence the value of x is 15.56.