In a song competition, a participant has to score a total of at least 20 points in the first four rounds combined to move on to the fifth and final round. Curtis scored 2 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Curtis scored in each of the second, third, and fourth rounds if he earned a place in the finals? 2 + 3p ≤ 20
2p + 3 ≥ 20
2 + 3p ≥ 20
2p + 3 ≤ 20

2+3p ≥ 20

Step-by-step explanation:

2 is the amount of points he earned

3 is how many rounds were left before finals

p is the additional points he earned

and ≥ 20 is he had to earn greater than or equal to 20 points total to move on.

hope this helps :}

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.