The distance between the basil and the thyme is
. Therefore, the correct answer is 20 in.
Let's denote the distances as follows:
-
is the distance between basil and oregano (given as 16 in).
-
is the distance between thyme and oregano (given as 4 in).
-
is the distance between basil and thyme (what we want to find).
The gardener is planting herbs in a line, so the three points
,
, and
are collinear. The total distance between
) and
can be expressed as the sum of the distances
and
:
![\[ BT = BO + TO \]](https://img.qammunity.org/2024/formulas/biology/high-school/e7m4m5x86bk8bxg62903ujh9wqkcoopahf.png)
Now, substitute the given values:
![\[ BT = 16 \, \text{in} + 4 \, \text{in} = 20 \, \text{in} \]](https://img.qammunity.org/2024/formulas/biology/high-school/4hew86g88mgumi9y5oqp0czg05jbckpqee.png)
Therefore, the distance between the basil and the thyme is
. Therefore, the correct answer is 20 in.
Complete question: A gardener is planting herbs in a line in a garden. Basil is located at point B, thyme is located at point T, and oregano is located at point O. If the distance between the basil and the oregano is 16 in and the distance between the thyme and the oregano is 4 in, what is the distance between the basil and the thyme? 24 in 20 in 12 in 10 in.