Determine the original set of data. 1 0 1 5 2 1 4 4 7 9 3 3 5 5 5 7 9 4 0 1 Legend: 1|0 represents 10The originat set of the data is?

Original data:

S = {10, 11, 15, 21, 24, 24, 27, 29, 33, 35, 35, 37, 39, 40, 40}

Step-by-step explanation:

A stem-and-leaf plot is a method to represent the data in tabular form.

The stem consist of the first digits of the data values arranged in ascending order.

The leaf consist of the remaining digits.

The data provided is:

Stem | Leaf

     1  | 0 1  5

     2 | 1  4 4 7 9

     3 | 3 5 5 7 9

     4 | 0 1  

The original data is:

10, 11, 15, 21, 24, 24, 27, 29, 33, 35, 35, 37, 39, 40, 40

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

step-by-step explanation: