State whether the data described below are discrete or continuous, and explain why. the numbers of languages spoken by different people
a. the data are discrete because the data can take on any value in an interval.
b. the data are continuous because the data can take on specfic value.
c. the data are discrete because the data can take on specfic valu.
d. the data are continuous because the data can take on any value in an interval.

Option C) The data are discrete because the data can take on specific value.

Step-by-step explanation:

We are given the following in the question:

The numbers of languages spoken by different people.

The data would include points like English, Hindi, Marathi, and many more.

Thus, the data is discrete because the number of languages will always be expressed in whole numbers and thus it cannot take any value within an interval.

The value is calculated and not measured.

Thus, the correct answer is

Option C) The data are discrete because the data can take on specific value.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.