Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.
2x + 2 = 3x - 52
-x = -54
x = 54
___________
| |
| 54 |
|__________|
The answer is inside a box.
So for the 40-40-90 degree triangle, whenever the two legs are x values, then the hypotenuse is x value times the square root of 2.
--> a changed into a√2
√2 changed in √2 * √2
= 2
So the hypotenuse of the 40-40-90 degree triangle is 2.
Now for the 30-60-90 degree triangle, the smallest leg with the value of x is then changed to the value of x√3 if finding the longer leg.
-> a is changed to a√3
2 is changed into 2√3
So, y is 2√3 or approximately 3.46 units.
The answer is A because the rate of change is 7.
You can find this by writing it from standard form to slope intercept (y = mx+b).
B is 6, C is 5, and D is also 5 (all lower than 7)