Question 6
Given:
QR = RS
QR = x + 6
RS = 4x
To find:
Length of line segment QS
Steps:
We know QR = RS, so substituting we get,
x + 6 = 4x
6 = 4x - x
6 = 3x
6/3 = x
2 = x
x = 2
Now,
QS = QR + RS
QS = x + 6 + 4x
QS = 2 + 6 + 4(2)
QS = 2 + 6 + 8
QS = 8 + 8
QS = 16 units
Therefore, the length of QS is 16 units
Question 7
Given:
QR = RS
QR = 2x - 2
RS = 2x
To find:
Length of line segment QS
Steps:
We know that QR = RS, so substituting the values we get,
QR = RS
3x - 2 = 2x
3x - 2 - 2x = 0
3x - 2x = 2
x =2
Now,
QS = QR + RS
QS = 3x - 2 + 2x
QS = 3(2) - 2 + 2(2)
QS = 6 - 2 + 2(2)
QS = 6 - 2 + 4
QS = 4 + 4
QS = 8 units
Therefore, the length of QS is 8 units
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Answer:
They are 3, 11 and 55.
Step-by-step explanation:
x +y + z = 69
y = x - 8
z = 5x
Substitute z = 5x in the first equation:
x + y + 5x = 69
6x + y = 69.........(1)
From the second equation
-x + y = -8.........(2)
Subtract equations (1) - (2):
7x = 77
x = 11
So z = 5x = 5*11 = 55 and
y = x - 8 = 11 - 8 = 3..
Answer:
533 lb
Step-by-step explanation:
We expect the weight of 64/51 times the amount of water to be 64/51 times as much as 425 lb:
(64/51)(425 lb) = 533 1/3 lb
The 64 gallon tank will hold about 533 pounds of water.