parallelogram ABCD is shown with diagnols, line AC and DB intersecting at point E. If AE = 4x - 3 and EC = 3x - 1, what is the l
1 answer:
Answer:
10
Step-by-step explanation:
So because AC is intersected at the middle, or the midpoint, being E, you can say that both sides of AC; AE and EC, are equal to each other. You can make 4x-3=3x-1 and combine like terms to get X on one side by itself. First, you want to subtract 3x from both sides to move the x from left side and only have it on the right. You should x-3=-1. Then, you want to remove the -3 from the left side and bring it to the right to have x by itself. To cancel the -3 on the left side you have to add 3 on both sides. You should have x=2. Now that you have x, you can plug it into both AE and EC, then add them together. You should have 5 for AE and 5 for EC, and adding them up makes 10. Hope I could help :)
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Hence the option 4 is the correct option.
Given information-
Mason opens a savings account by making a $165.85.
The money deposit by Mason every week is $20.50.
<h3>Algebraic expression-</h3>
Algebraic expression is the expression which consists the unknown variables, constant and coefficients of variables.
The algebraic expressions use to represent the set of condition of a problem in a mathematical way.
As the initial amount deposit by Mason is $165.85. Thus this amount is fixed and not going to change with the further deposit.
The money deposit by Mason every week is $20.50. This money is not fixed and increased by $20.50 every week. Thus this is a variable amount.
Therefore the algebraic expression for the given condition can be given as,
Thus the expression that shows the amount of money that will be in the account <em>x</em><em> </em>weeks after Mason opens it is,
Hence the option 4 is the correct option.
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