While walking by a classroom, Linda sees two perfect squares written on a blackboard. She notices that their difference is her favorite number, 99. She also notices that there are exactly two other perfect squares between them. What is the sum of the two perfect squares on the blackboard

549

Step-by-step explanation:

considering 'n²' to express first square on board.

Remember 'n' is an integer

Now expressing second square with (n+3)²  on the board.

(Therefore, The other two perfect squares in between are (n+1)² and (n+2)².

If asking for the difference that is 99:

(n+3)² - n² = 99

Solving for n:

n² + 6n + 9 - n² = 99

6n + 9 = 99

6n = 90

n = 90/6

n = 15

So the perfect squares on the board are:

n²  => 15² = 225

(n+3)²=> 18² = 324

The difference between the above is 99

and  exactly two other perfect squares (16² = 256 and 17² = 289) are in between.

Thus, the sum of the two perfect squares on the blackboard is,

225 + 324 = 549

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

cool? what is the actuall ?

step-by-step explanation: