Answer: x= 63, y= 27
Step-by-step explanation:
x and angle measure 117 are a linear pair. They sum to 180.
117+x= 180. Subtract 117 from both sides.
x = 63
Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.
63+y= 90. Subtract 63 from both sides.
y = 27
We base ourselves in the one piece of crucial evidence: She has 2 quarters.
-from the rest of the problem, we know that she has 2 more NICKEL'S than QUARTERS,
(2 Quarters + 2 = 4 nickels)
she has 3 fewer nickels than dimes,
DIME - 3 = Nickels
D - 3 = 4
D = 7
7 dimes
(70 cents)
4 nickels
(20 cents)
2 quarters
(25 cents)
115 cents
or $1.15
Let the length equal x
Then the width would be 4x + 8 (8 feet more than 4 times the length)
Area = length x width:
5,472 = x * 4x+ 8
Simplify:
5472 = 4x^2 + 8x
Subtract 5472 from both sides:
4 x^2 + 8x - 5472 = 0
Use the quadratic formula to solve for x.
X = 36
Now you know the length is 36 feet
The width = 4(36) + 8 = 152 feet
Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.
The answer is B. 376
