Do the following lengths form a right triangle?

21) Yes; 23) Yes

Step-by-step explanation:

If the lengths form a right triangle, the sum of the squares of the two shorter sides should equal the square of the longest side (Pythagoras).

21)

5² +  12² =  13²

25 + 144 = 169

       169 = 169

The lengths form a right triangle.

23)

3² +  4² =  5²

9  + 16 = 25

      25 = 25

The lengths form a right triangle.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

stethere all not eveanp-by-step explanation: