Answer:
1. What is the value of x?
We know that FE || AT, and FE = AT. So,
FE = AT
6x - 7 = 2x + 9
6x - 2x = 7 + 9
4x = 16
4x/4 = 16/4
2. What is the value of y?
We also know that FA || ET, and FA = ET. Therefore,
FA = ET
3y - 4 = y + 20
3y - y = 4 + 20
2y = 24
2y/2 = 24/2
3. Find the perimeter of the parallelogram FATE
Let us first find the values of each line.
FA = 3y - 4 = 3(12) - 4 = 36 - 4 = 32
AT = 2x + 9 = 2(4) + 9 = 8 + 9 = 17
ET = y + 20 = (12) + 20 = 32
FE = 6x - 7 = 6(4) - 7 = 24 - 7 = 17
Since perimeter means the total value of all sides added:
P = FA + AT + ET + FE
P = 32 + 17 + 32 + 17
4. If diagonal EA = 32, what is the measure of SE
Since diagonal FST cuts the diagonal EA into half, we know that ES + SA = EA (and ES = SA, because they were cut in half). So,
ES + SA = EA
ES + SA = 32
Divide 32 into halves to get each line measurement.
ES = 32/2
ES & SA = 16
Therefore,
5. If FS = 11, how long is the length of diagonal FT?
Since FS + ST = FT, and FS = 11.
FS + ST = FT
11 + ST = FT
... and since FS & ST are halves of FT, multiply 11 by 2 to get FT.
FT = 11 x 2
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Answers & Comments
Answer:
1. What is the value of x?
We know that FE || AT, and FE = AT. So,
FE = AT
6x - 7 = 2x + 9
6x - 2x = 7 + 9
4x = 16
4x/4 = 16/4
x = 4
2. What is the value of y?
We also know that FA || ET, and FA = ET. Therefore,
FA = ET
3y - 4 = y + 20
3y - y = 4 + 20
2y = 24
2y/2 = 24/2
y = 12
3. Find the perimeter of the parallelogram FATE
Let us first find the values of each line.
FA = 3y - 4 = 3(12) - 4 = 36 - 4 = 32
AT = 2x + 9 = 2(4) + 9 = 8 + 9 = 17
ET = y + 20 = (12) + 20 = 32
FE = 6x - 7 = 6(4) - 7 = 24 - 7 = 17
Since perimeter means the total value of all sides added:
P = FA + AT + ET + FE
P = 32 + 17 + 32 + 17
P = 98
4. If diagonal EA = 32, what is the measure of SE
Since diagonal FST cuts the diagonal EA into half, we know that ES + SA = EA (and ES = SA, because they were cut in half). So,
ES + SA = EA
ES + SA = 32
Divide 32 into halves to get each line measurement.
ES = 32/2
ES & SA = 16
Therefore,
SE (or ES) = 16
5. If FS = 11, how long is the length of diagonal FT?
Since FS + ST = FT, and FS = 11.
FS + ST = FT
11 + ST = FT
... and since FS & ST are halves of FT, multiply 11 by 2 to get FT.
FT = 11 x 2
FT = 22
Correct me po if meron akong mali dito sa numero 4 at saka 5. Thank uu :>