The graph below displays the wrist circumferences and heights of six students in alyssa’s classroom. is the height of these students a function of their wrist circumference? a(yes because as wrist circumference increases height also increases b(yes because a line can be fit to these data to predict other pairings. c(no because the height of 151 cm is paired with two wrist circumferences. d(no because the wrist circumference of 16 cm is paired with two heights.

Option D(No because the wrist circumference of 16 cm is paired with two heights.

Step-by-step explanation:

In the given graph we have  set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis  represents the wrist circumference while  y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

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.