Answer:
25.6 units
Step-by-step explanation:
From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).
First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

where
are the coordinates of the first point
are the coordinates of the second point
- For AB:
![d=\sqrt{[1-(-5)]^{2}+(4-4)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%2B%284-4%29%5E2%7D)



- For BC:





- For AC:
![d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5B3-%28-5%29%5D%5E%7B2%7D%20%2B%28-4-4%29%5E%7B2%7D%7D)





Next, now that we have our lengths, we can add them to find the perimeter of our triangle:




We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.
3x-24=x+10
3x-x=24+10
2x=34
x=34:2=17
The number of points that were possible in the course is 420
What is the required number of points for grade A?
The number of points the student needs to have to make grade A is the student's current points of 371 plus the 7 points remaining to make grade A
Total points for A=371+7
total points for grade A=378
90% of the course total=378
divide both sides 90
90% /90 =378/90
1%=378/90
100%=378/90*100
100%=420
Find out more about course points on:brainly.com/question/8429607
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Answer:
First option: 
Step-by-step explanation:


Multiply both sides by y:






