Answer:
A) X = 2, Y = 2
Step-by-step explanation:
For HL, the hypotenuse of one triangle must be congruent to the hypotenuse of the other, and the leg of one triangle must be congruent to the corresponding leg of the other triangle.
This means that we know x = y, and that 2x+3 = 3y+1.
Substituting x in place of y gives us
2x+3 = 3x+1
Subtract 2x from each side:
2x+3-2x = 3x+1-2x
3 = x+1
Subtract 1 from each side:
3-1 = x+1-1
2 = x
This means that x = 2 and y = 2, since they are equal.
Tan(x) = opp/adj
tan(30°) = 9/n
n x √3/3 = 9
3n x √3 = 27
3√3n = 27
√3n = 9
n = 9/√3
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
If you need clarification just reply back so I can help
