Answer:
4x+88=180
First angle is 54°
Second angle is 23°
Third angle is 103°
Step-by-step explanation:
Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57
All angles in a triangle add upto 180°
31+x+x+2x+57 = 180
4x+88=180
Subtract 88 from both sides,
4x = 92
Divide by 4,
x = 23°
31+x = 54°
2x+57 = 2*23 + 57 = 46+57 = 103°
Answer:
20
Step-by-step explanation:
The area can be calculated by Length times width. The length is 10 and the width is 2 so 10 x 2 = 20
Cheers
If the area of the square is 9x^+24x+16, then the side length wouldd be the square root of that. That would be 3x+4. The perimeter would be 4 times that so the perimeter is 4(3x+4) = 12x+16
Hope that helped
<span>Aidan is 3 inches above average. A z-score of 1.0 would refer to someone exactly 1 standard deviation above average, or 3.6 inches above average, or 68.6 inches tall. A z-score of 0.0 would refer to someone exactly average. What proportion of 3.6 is 3.0? That will be your z-score</span>
We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
![\log[x(x + 99)] = 2](https://tex.z-dn.net/?f=%5Clog%5Bx%28x%20%2B%2099%29%5D%20%3D%202)
![\log[ {x}^{2} + 99x ] = 2](https://tex.z-dn.net/?f=%5Clog%5B%20%7Bx%7D%5E%7B2%7D%20%2B%2099x%20%5D%20%3D%202)
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
