One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
Answer:
(0;-4)
(-6;4)
Step-by-step explanation:
-8x - 6y - 7 = 17
-8x-6y-24=0
y=-(4x)/3-4
(3;0)
-(4*3)/3-4=8
8≠0
(-2;-1)
-(4*(-2))/3-4=-4/3
-4/3≠-1
(0;-4)
-(4*0)/3-4=-4
-4=-4
(-9;6)
-(4*(-9))/3-4=8
8≠6
(-6;4)
-(4*(-6))/3-4=4
4=4
5x – 1 = 3x – 15
Subtraction Property of Equality (Subtract 3x from both sides)
2x - 1 = -15
Addition Property of Equality (Add 1 to both sides)
2x = - 14
Division Property of Equality (Divide both sides by 2)
x = -7
Point K is in the 4th quadrant, then it goes into the first quadrant. So this means the rotation could be 90 degrees counterclockwise or 270 degrees clockwise.
The answer is 90 degrees counterclockwise or 270 degrees clockwise.
