Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
x = 5
Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.
Answer:
x = 23°
Step-by-step explanation:
Note: Complementary angles measure 90°
3x + (x - 2)° = 90°
=> 3x + x - 2° = 90°
=> 4x - 2° = 90°
Add the additive inverse of -2 to both sides of the equation
i.e 4x - 2° + 2° = 90° + 2°
=> 4x = 92°
Divide both sides of the equation by the coefficient of x which is 4
=> 4x/4 = 92°/4
x = 23°
