Answer:
The coordinates are 6,5.
Step-by-step explanation:
Go over 6 and go up 5 and 6ou have your answer.
1. 22 - 3x + 7x = 4(x + 5)
22 - 3x + 7x = 4x + 20
<u> +3x +3x +3x </u>
22 + 10x = 7x + 20
<u> -7x -7x </u>
22 + 3x = 20
<u>-22 -22</u>
<u>3x</u> = -<u>2</u>
3 3
x = -2/3
2. 6(2x - 3) = 3(3 - 5)
12x - 18 = 3(-2)
12x - 18 = -6
<u> +18 +18</u>
<u>12x</u> = <u>12</u>
12 12
x = 1
3. 6x - 14 = 2(3x - 7)
6x - 14 = -3x
6x - 14 = 2(-7)
6x - 14 = -14
<u> +14 +14</u>
<u>6x</u> = <u>0</u>
6 6
x = 0
4. 6x + 3(x - 4) = 8(x - 3)
6x + 3x - 12 = 8x - 24
9x - 12 = 8x - 24
<u>-8x -8x </u>
x - 12 = -24
<u> +12 +12</u>
x = -12
Answer: y = (3/2)x
m = 3/2 is the slope
(x1,y1) = (0,0) is the point we want the line to go through, aka the origin
Use point slope form, plug in the given values, and convert to slope intercept form
y - y1 = m(x - x1) .... point slope form
y - 0 = (3/2)*(x - 0) .... substitution
y = (3/2)x .... final answer in slope intercept form
Answer:
65 degrees
Step-by-step explanation:
<u>Step 1: Find what the measure of JLK is</u>
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
<u>Step 2: Find what the measure of KJL is</u>
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
