9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length = 
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length = 
Now Let us find the difference between the lengths:
Therefore the difference in the lengths of the two alligators = 3
The opposite of 4 is -4. so, on your number line, graph -4 and 4.
Answer:
She spent $70.65.
Step-by-step explanation:
Represent the amount spent by x.
Then $22.50 - x = -$48.15.
Combining like terms, we get:
$22.50 + $48.15 = x, or
x = $70.65
She spent $70.65.
Distribute 6
6x-12 - 2x =4x
Combine like terms
4x - 12 = 4x
Subtract 4x from both sides
-12=0 no solution
