Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Think of it as (-4x+1)(3x+2) then distribute: -4x x 3x= -12x^2, -4x x 2= -8x, 1 x 3x = 3x, and 2 x 1=2. put together all the answers we just got so: -12x^2 - 8x +3x +2 then simplify to get -12x^2 -5x +2
Answer:
x=120°
Step-by-step explanation:
sum of all angles in a triangle is equal to 180
let the unknown angle be
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Lets see,
6c to the second power is 36c because 6c times 6c is 36 c
And since the variables are different and only one number doesn't have a variable,
The answer would be, 36c-5d+8