Answer:
Step-by-step explanation:
Through -3 , -2 slope = -2/3
y1 = -2 & x1 = -3 and m = -2/3
y - y1 = m(x - x1)
y - (-2) = -2/3(x - (-3))
y + 2 = -2/3(x + 3)
Multiply each term by 3
3y + 6 = -2(x + 3)
3y + 6 = -2x - 6
3y = -2x - 6 - 6
3y = -2x - 12
In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
Learn more about the triangle here:
brainly.com/question/25813512
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Answer:O_O
Step-by-step explanation:
