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Answer:
x = 5
Step-by-step explanation:
I already answer this on another question you actually made, but here it is again:
To do this, you need to use the Thales theorem.
You can actually apply this theorem and choose two sides of the figure to do it.In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:
LM/MN = DE/EF
This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN
Therefore, it's time to replace the values of those segments and solve for X:
LM/MN = DE/EF
14/16 = 6x -9 / 4x + 4
7/8 = 6x - 9 / 4x + 4
7(4x+4) = 8(6x-9)
28x + 28 = 48x - 72
72 + 28 = 48x - 28x
100 = 20x
x = 100/20
x = 5
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The jeweler bought it for (1235.55 * 73.5) = 90812.925...expenses
and the jeweler sold it for (1376.44 * 73.5) = 101168.34...revenue
profit = revenue - expenses
profit = 101168.34 - 90812.925 = 10355.415 rounds to 10,355.42 <==
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
3x - y = 9
4 x + y = 5.
Add the equations
7x = 14
x = 2
Substitute it back into either original equation to find x
3(2) - y = 9
6 - y = 9
y = -3
4(2) + y = 5.
8 + y = 5
y = -3
x = 2
y = -3
(2, -3)
(2, –3) is a solution to the system of linear equations.