I don’t know the answer, but when you get it can you tell me I have a similar problem on my test
Answer:
The original dimensions of the card were 9 inches length and 9 inches width
Step-by-step explanation:
Let x be the original length and width of the card in inches (remember that it was squared originally). The exercise says that the area of the new width, with dimensions x-4 and x-5 is 20 square inches, therefore
(x-4)*(x-5) = 20
x²-9x+20 = 20
x²-9x = 0
x*(x-9) = 0
x = 0 or x = 9
Since x must be positive, then it cant be 0, thus, x has to be 9. The original dimensions of the card were 9 inches length and 9 inches width.
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°
