Answer:
12
Step-by-step explanation:
A straight line is equal to 180. The line AB is 180 degrees. This means 174 + angle = 180 for the angle between point D and B. It must be 6 degrees. This is the same angle as the angle between point A and C.
Line CD is also straight and equal to 180. On the line are the angles, 4k + 90 + 3k + 6 = 180. Solve for k by combining like terms and then using inverse oeprations.
4k + 90 + 3k + 6 = 180
7k + 96 = 180
7k = 84
k = 12
Answer:
Step-by-step explanation:
Let the number be x
5 times a number = 5x
24 - 5x = 15
-5x = 15-24
-5x = -9
x= -9/-5
x = 9/5

or x = 1.8
Hi There!
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Question 2:
Obviously the right equation for this question is Point Slope Form.
Point Slope Form: y - y1 = m(x - x1)
y1 = -1
x1 = 3
m = 2
Question 2 Answer: y + 1 = 2(x - 3)
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Question 3:
Again use point slope form.
Find Slope:
7 - 1 = 6
-2 - 1 = -3
6/-3 = -2
Question 3 Answer: y - 1 = -2(x - 1)
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Hope This Helps :)
STEP-BY-STEP SOLUTION:
( x + 4 )^2 + y^2 = 22
x^2 + 2 × x × 4 + 4^2 + y^2 = 22
x^2 + 8x + 16 + y^2 = 22
y^2 = 22 - x^2 - 8x - 16
y^2 = - x^2 - 8x + 6
FINAL ANSWER:
Therefore, the answer is:
D. y^2 = - x^2 - 8x + 6
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