Answer:
<h2>E. 22</h2>
Step-by-step explanation:
<em>Look at the picture</em>.
The lines <em>l</em> and <em>m</em> are parallel, therefore alternate interior angles are congruent.
Therefore 
Supplementary angles add up to 180°.
Therefore
<em>add 16 to both sides</em>
<em>subtract 5x from both sides</em>
We know: the sum of the triangle angle measures is 180°.
Therefore we have the equation:
Answer: $34.85
Step-by-step explanation: $41 x 15%= 34.85 before tax
Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.
You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.
Answer:
B
Step-by-step explanation:
Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is
6x = x + 2y ( subtract x from both sides )
5x = 2y ( subtract 2y from both sides )
5x - 2y = 0 → (1)
and perimeter = 29, that is
6x x + 2y + 5x - y = 29 , simplifying
12x + y = 29 → (2)
Multiply (2) by 2
24x + 2y = 58 → (3)
Add (1) and (3) term by term to eliminate y, that is
29x = 58 ( divide both sides by 29 )
x = 2
Substitute x = 2 into (2) and evaluate for y
12(2) + y = 29
24 + y = 29 ( subtract 24 from both sides )
y = 5
Thus
FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B
Third option is the correct answer.
Answer:
![y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2bc%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D)
Step-by-step explanation:
![y - y_1 = m(x - x_1) \\ \\ y - 0 = \bigg[ \frac{2b}{(2a - c)} \bigg] (x - c) \\ \\ y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2b}{(2a - c)} \bigg]c \\ \\ \purple { \boxed{ \bold{y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]}}} \\](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20%5C%5C%20%20%5C%5C%20y%20-%200%20%3D%20%20%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D%20%20%28x%20-%20c%29%20%5C%5C%20%20%5C%5C%20y%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dc%20%5C%5C%20%20%5C%5C%20%20%5Cpurple%20%7B%20%5Cboxed%7B%20%5Cbold%7By%20%3D%20%5Cbigg%5B%20%5Cfrac%7B2b%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5Dx%20-%20%5Cbigg%5B%20%5Cfrac%7B2bc%7D%7B%282a%20-%20c%29%7D%20%5Cbigg%5D%7D%7D%7D%20%5C%5C%20)
