Answer:
Yes, this triangle is a right triangle.
Step-by-step explanation:
Side AB lies on the x-axis and is thus horizontal. Side AC lies on the y-axis and is thus vertical. Sides AB and AC are therefore perpendicular to each other. This alone is enough info for us to conclude that this is a right triangle.
Side BC could be thought of as the hypotenuse.
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = 
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
I would estimate it as (300 x 7) = 2100
Then I would subtract (11 x 7) + 77 from that to get the exact answer of 2023
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I didn't use a calculator or paper. The 'trick' is to notice that 289 = (300 - 11)
The answer is 101 because you add 89 and 12