Chapter 2: Q11. (page 107)

If $\bar{A C}$ is 2 units, what is the value of t?

Short Answer

Expert verified

The value oft is 0.25.

Step by step solution

Step-1 – Apply the concept of line segment

The line segment is a line with two end points. It can be breakdown into small line segments.

Step-2 –Construct the expression

Consider the provided line segment $\bar{A C}$ . The length of $\bar{A C}$ is 2 units.

The line segment $\bar{A C}$ is the sum of line segments $\bar{A B} and \bar{B C}$ .

$\bar{A C} = \bar{A B} + \bar{B C}$

The length of line segment $\bar{A B}$ is 3t and of line segment $\bar{B C}$ is 5t.

Step-3 –Evaluate the expression

The mathematical expression for $\bar{A C} = \bar{A B} + \bar{B C}$ is provided below.

\begin{matrix} \bar{A C} = \bar{A B} + \bar{B C} \\ 2 = 3 t + 5 t \\ 2 = 8 t \\ \frac{2}{8} = t \end{matrix}

Divide and simplify.

$t = 0.25$

Thus, the value oft is $0.25$ .

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If $\bar{A C}$ is 2 units, what is the value of t?

Short Answer

Step by step solution

Step-1 – Apply the concept of line segment

Step-2 –Construct the expression

Step-3 –Evaluate the expression

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Step by step solution

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If $\bar{A C}$ is 2 units, what is the value of t?