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:
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Answer:
radius of the sphere (r) = 21 units
Step-by-step explanation:
here's the solution : -
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( pi cancel out )
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Step-by-step explanation:
Slope=9
i)

When line is parallel
y+5=9(x-6)
y+5 = 9x - 54
<h3>59 = 9x-y </h3>
When line is perpendicular
y+5=-1/9(x-6)
9(y+5)= -1(x-6)
9y + 45 = -x+6
<h3>
x+9y = -39</h3>
<h2>
MARK ME AS BRAINLIST </h2>
Answer:
(-20,0) (0,-4)
Step-by-step explanation:
The correct answer is C. Let’s break this down with the distributive property.
5(6x+6)
30x+30
5(9-x)
45-5x
Now add and subtract like terms.
30x-5x=25x
30+45=75
Put the remaining numbers together.
25x+75 and there you go.