The answer is 246 units²
<span>Surface area= 2(lw + lh + wh)</span>
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
![m\angle ABC = 77.2^\circ](https://tex.z-dn.net/?f=m%5Cangle%20ABC%20%3D%2077.2%5E%5Ccirc)
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
![m\angle ABD=m\angle CBD](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3Dm%5Cangle%20CBD)
Substituting the algebraic expressions for both angles:
![2.5x + 8.6=3.5x - 3.4](https://tex.z-dn.net/?f=2.5x%20%2B%208.6%3D3.5x%20-%203.4)
Subtracting 8.6 and 3.5x:
![2.5x - 3.5x = -8.6 - 3.4](https://tex.z-dn.net/?f=2.5x%20-%203.5x%20%3D%20-8.6%20-%203.4)
Operating:
![-x = -12](https://tex.z-dn.net/?f=-x%20%3D%20-12)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
The two angles are:
![m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3D2.5x%20%2B%208.6%3D2.5%2812%29%20%2B%208.6%3D38.6%5E%5Ccirc)
![m\angle CBD=3.5x - 3.4 = 38.6^\circ](https://tex.z-dn.net/?f=m%5Cangle%20CBD%3D3.5x%20-%203.4%20%3D%2038.6%5E%5Ccirc)
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
![m\angle ABC = 2*38.6^\circ=77.2^\circ](https://tex.z-dn.net/?f=m%5Cangle%20ABC%20%3D%202%2A38.6%5E%5Ccirc%3D77.2%5E%5Ccirc)
![\mathbf{m\angle ABC = 77.2^\circ}](https://tex.z-dn.net/?f=%5Cmathbf%7Bm%5Cangle%20ABC%20%3D%2077.2%5E%5Ccirc%7D)
Answer:
Option C (f(x) =
)
Step-by-step explanation:
In this question, the first step is to write the general form of the quadratic equation, which is f(x) =
, where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) =
) and the last option (f(x) =
) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) =
). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!
Answer:
-6
Step-by-step explanation:
Hi!
length = l = 2 * width = 2 * w
Area = l * w = l * 2 * l = 2 * l^2
2 * l^2 = 72
l^2 = 72/2 = 36
l = square root of 36
l = 6
l = 2 * w => w = l/2 = 6/2 = 3
Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet
Hope this helps!