The third option because the exterior angles of a triangle have to add up to 360 making that the right option
Answer:
1) Given
2) Mid Point Formula
3) Definition of midpoint
4) If two lines intersect, then their intersection is exactly one point
5) Definition of bisect
6) If the diagonals of quadrilateral bisect eachother, then the quadrilateral is a parallelogram.
bStep-by-step explanation:b
<u>Answer:</u>
○ ![y = \frac{1}{4}x - \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B4%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
<u>Step-by-step explanation:</u>
To find the equation of the line, let's first consider the points whose coordinates we have been given:
• (6, 1)
• (2, 0).
The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.
Next, let's calculate the slope (gradient) of the line using the formula:
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
where:
m = gradient,
and
= points on the line.
Using the formula:
![m = \frac{1 - 0}{6 - 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%20-%200%7D%7B6%20-%202%7D)
⇒ ![m =\bf \frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%5Cbf%20%5Cfrac%7B1%7D%7B4%7D)
Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:
![\boxed{y - y_1 = m(x - x_1)}](https://tex.z-dn.net/?f=%5Cboxed%7By%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%7D)
You can use any of the points on the line as
and
.
Using (2, 0):
![y - 0 = \frac{1}{4}( x - 2)](https://tex.z-dn.net/?f=y%20-%200%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%20x%20-%202%29)
⇒ ![y = \frac{1}{4}x - \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B4%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
Therefore the equation of the line is
.
Learn more about point-slope form at:
brainly.com/question/15143525
Answer:
![\boxed{195}](https://tex.z-dn.net/?f=%5Cboxed%7B195%7D)
Step-by-step explanation:
The fruit flies grows geometrically.
![125=80k^2](https://tex.z-dn.net/?f=125%3D80k%5E2)
Find the value of k.
![\sqrt{\frac{125}{80} } =k](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B125%7D%7B80%7D%20%7D%20%3Dk)
![1.25=k](https://tex.z-dn.net/?f=1.25%3Dk)
![P=80(1.25)^t](https://tex.z-dn.net/?f=P%3D80%281.25%29%5Et)
is number of days.
![P=80(1.25)^4](https://tex.z-dn.net/?f=P%3D80%281.25%29%5E4)
![P=195](https://tex.z-dn.net/?f=P%3D195)