Area of rectangular board = length (inches) x width (inches) = 12" x 16" = 192 in²
Area of the border is given as 128 in²
Adding the area of the board and the border gives (192 + 128)in² = 320 in²
Set this up as the algebraic equation (x + 12)(x + 16) = 320 and solve for x:
Remember to use the FOIL method, which is multiplying the terms in the order of first, outer, inner, last.
x² + 12x + 16x + 192 = 320
x² + 28x + 192 - 320 = 0
x² + 28x - 128 = 0
solve for the two x values:
(x + 32)(x - 4) = 0, and knowing we only need the positive x value
x = 4 or 4 inches is the width of the border
6×12 = 72
72 - (3x3) = 63
63 in ^2
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
True
Step-by-step explanation:
mark brainliest
<u>Answer:</u>
<u>Step-by-step explanation:</u>
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be 
°, we can set up the following equation:
Now we can solve for :
⇒ 
⇒ 
[subtracting 192° from both sides]
⇒ 
⇒ 
[dividing both sides by 2]
⇒ 
Therefore, the other two angles each have a measure of 84°.
