Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually

since we know a and b are the same length (sides of a square are congruent) we would have

We know that c is 14 so

Answer:
3.7
This means that the answer is past the 3 point on the number line and 3 tick marks before the 4 point.
Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
2. This question is basically asking you to factor 6x² - x - 12, so that one bracket is (2x - 3) and the other bracket is your answer. If you do factor 6x² - x - 12, you get (2x - 3)(3x + 4), so your answer would be J. 3x + 4.
4. Again you are factoring, so you would get your answer as (x + 3)(x - 2), which is answer F.
I hope this helps! Let me know if you would like me to show you how I factored :)
Step-by-step explanation:
The first set is equivalent.
We obtain the right-hand side by swapping places of the terms.