Knowing that all triangles angles add up to 180*:
24* + x + ? = 180*
Knowing the straight line is 180*:
180* - 122* = 58*
The equation then is:
24* + x + 58* = 180*
Then solve for X:
(82* + x) - 82* = (180*) - 82*
<u>x = 98* or C</u>
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
![H(x,y) = (8,6)](https://tex.z-dn.net/?f=H%28x%2Cy%29%20%3D%20%288%2C6%29)
San Antonio
![T(x,y) = (-6,-7)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20%28-6%2C-7%29)
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
(1)
![S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)
![S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%28-14%2C-13%29)
![S(x,y) = (4.5,2.75)](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20%284.5%2C2.75%29)
Andra
(2)
![A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B2%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)
![A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%20%288%2C6%29%2B%5Cfrac%7B2%7D%7B4%7D%5Ccdot%20%28-14%2C-13%29)
![A(x,y) =(1, -0.5)](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%281%2C%20-0.5%29)
Emily
(3)
![E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)
![E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%288%2C6%29%2B%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%28-14%2C-13%29)
![E(x,y) = (-2.5, -3.75)](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%28-2.5%2C%20-3.75%29)
a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is,
.
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
37.59
Just multiple .3 x 125.30
Answer:
Step-by-step explanation:
-4 it’s closer to zero