Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
Answer:
(x-10)(x+10)
Step-by-step explanation:
Answer:
The equation is true.
Step-by-step explanation:
Simplify. Combine like terms:
3x + 15 = (2x + x) + (10 + 5)
3x + 15 = (3x) + 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3x and 15 from both sides:
3x (-3x) + 15 (-15) = 3x (-3x) + 15 (-15)
3x - 3x = 15 - 15
0 = 0
~ True. The two expressions are equal to each other.
~
8x² - 2x - 1 = 0
8x² - 4x + 2x - 1 = 0
4x (2x - 1) + 1 (2x - 1) = 0
(4x + 1)(2x - 1) = 0
4x + 1 = 0 or 2x - 1 = 0
x = -1/4 0r x = 1/2