Answer:
(-1, 1)
Step-by-step explanation:
Midpoint formula: (x₁ + x₂/2 , y₁ + y₂/2)
Substitute the values into the formula.
(-5 + 3/2 , 3 - 1/2)
(-2/2 , 2/2)
(-1,1)
Therefore, the midpoint is (-1, 1).
Answer:
x<8 or x>13
Step-by-step explanation:
x-5 < 3
x < 3 + 5
x <8
OR
x – 5 > 8
x > 8 +5
x >13
combining the two, the combined answer for x is
x<8 or x>13
The amount of the tip is 12%
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
