So he paid x then he added 1/5 of the price to the motorcycle and sold it for 13,800 or 6/5 of the origonal price
if 6/5 of origonal price=13,800
you divide 13,800 by 6 to get the amout he marked it up by ([6/5]/6 or 6/5*6 or 1/5) so 2300 is the amount that he marked the price up by so 13,800-2300=origonal price=$11,500
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for <em>x</em>:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find <em>x</em> by dividing 2 on both sides
x = 9
Step 5: Plug in <em>x</em> for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°