The perimeter of equilateral triangle TRY is 9y+45 and TY = 2y+25 . find the perimeter of triagle TRY.

The perimeter of a parallelogram ABCD is 66 cm, and DC is twice as long as BC . how long is AB ?

2 QUESTIONS .. ANSWERS PLEASE TELL ME WHAT TO DO

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whatodo you mean done/?? please

Kelly, or nicole

http://www.jiskha.com/display.cgi?id=1382447650

why are you switching names?

i am kelly nicole.

i want to get the answer i posted it twice.

To find the perimeter of triangle TRY, we need to add the lengths of all three sides. We are given that TY = 2y + 25, which represents one side of the triangle. Since triangle TRY is an equilateral triangle, all three sides have the same length.

Since the perimeter is given as 9y + 45, which represents the sum of all three sides, we can set up the following equation:
9y + 45 = 3(2y + 25)

First, distribute the 3 on the right side of the equation:
9y + 45 = 6y + 75

Next, subtract 6y from both sides:
3y + 45 = 75

Now, subtract 45 from both sides:
3y = 30

Finally, divide both sides by 3 to solve for y:
y = 10

Now that we know the value of y, we can substitute it back into the expression for TY to find the length of one side:
TY = 2y + 25
TY = 2(10) + 25
TY = 20 + 25
TY = 45

Since the three sides of the equilateral triangle are equal, the perimeter of triangle TRY is:
Perimeter = 3 * TY = 3 * 45 = 135.

Regarding the second question:

To find the length of AB, we need to know the relationship between the sides of the parallelogram. It is given that DC is twice as long as BC.

Let's assume the length of BC is x. Since DC is twice as long, its length would be 2x.

The perimeter of a parallelogram is the sum of the lengths of all four sides. We are given that the perimeter is 66 cm.

Setting up an equation with the given information:
Perimeter = BC + AB + DC + AD
66 = x + AB + 2x + AD

Since opposite sides of a parallelogram are equal in length, BC is equal to AD. Therefore, we can simplify the equation:
66 = x + AB + 2x + x

Now, combine like terms on the right side:
66 = 4x + AB

Next, isolate AB by subtracting 4x from both sides:
AB = 66 - 4x

The length of AB is equal to 66 minus four times the length of BC.

Unfortunately, without any further information about the lengths of BC or AD, we cannot determine the exact length of AB.