bncook
22.09.2020 •
Mathematics
Point D is located on the segment CE. If CD = 24 and DE = x and CE = 5x, what is the measurement of segment CE
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Ответ:
30
Step-by-step explanation:
If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE
Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;
Since CE = 5x, CE = 5(6) = 30
Ответ:
B.
Step-by-step explanation:
If you simplify both sides and you have both sides in the form, , if the the number in front of the variable, is the same while the constant number, , is different then you will have no solutions.
If you have same and same , then you have infinitely many solutions.
If you have different then you have one solution.
Let's simplify both sides of A:
Distribute:
Combine like terms on left hand side:
The left hand side and right hand side have the same value no matter the x. This has infinitely many solutions.
Let's simplify both sides of B:
Distribute:
Combine like terms on either side:
This is going to have no solutions. If you thought about graphing y=4x+11 and y=4x+3 you would see that they are parallel and never cross.
You could also try and solve it.
Subtract 4x on both sides:
11 is never 3.
11 isn't 3.
11=3 is not true which means there is no satisfying the equation labeled B.
Let's simplify both sides of C:
Distribute:
Combine like terms on either side:
This is going to have one solution.
We can solve it and see.
Subtract 4x on both sides:
Subtract 15 on both sides:
Divide both sides by 2:
0 is the one number that will make both sides the same for equation C.
Let's simplify both sides of D:
Distribute:
Combine like terms on left hand side:
These are the exact same expression on both sides and therefore will have the same value no matter the value of x you choose to plug in.
There are infinitely many solutions.