The table below indicates the variations in circumference of a circle with changes in the diameter. Draw a scatter plot for the data. Diameter (cm)

1

2

3

4

5

Circumference (cm)

3.141

6.253

9.425

12.567

15.708

a.
A graph has diameter on the x-axis, and circumference on the y-axis, from 0 to 20 in increments of 2. Points are at (1, 3.14), (2, 6.25), (3, 9.43), (4, 12.57), (4, 15.8).
c.
A graph has diameter on the x-axis, from 0 to 20 in increments of 2, and circumference on the y-axis, from 0 to 20 in increments of 2. Points are at (2, 3.14), (4, 6.25), (6, 9.43), (8, 12.57), (10, 15.71).
b.
A graph has diameter on the x-axis, and circumference on the y-axis, from 0 to 20 in increments of 2. Points are at (0, 3), (2, 6.25), (3, 9.43), (4, 12.57), (5, 15.71).
d.
A graph has diameter on the x-axis, and circumference on the y-axis, from 0 to 20 in increments of 2. Points are at (1, 3.14), (2, 6.25), (3, 9.43), (4, 12.57), (5, 15.71).

Please select the best answer from the choices provided

A
B
C
D

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.