Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
There exist an abbreviation that ALL - S - T - C where all trigonometric functions in first quandrant are positive. S, T, and C are the first letters of the trigonometric functions that are positive in quadrant 2, 3, and 4, respectively. This also means that in the same quadrant, their reciprocals are also positive. For the given above, it is in Quadrant 3 where T is positive and cosine is negative.
C. (3x+1)(3x-2) 3x times 3x= 9x^2 and 3x times -1= -3x
2 times 3x= 6x and 2 times -1= -2
9x^2- 3x+6x-2
9x^2+3x-2
Hope I explain this more clearly for you.
