D is between C and E. CE = 6x, CD =4x+8, and DE=27. Find CE.
I don't know the answer that why I am looking it up duh
X would be 17.5, as long as the answer isn't required to be a whole number.
the answer is 105
To find CE, we need to use the information given. Let's break it down step by step:
Step 1: Understand the given information.
We are told that D is between C and E. This means that the line segment CE is composed of two parts: CD and DE.
Step 2: Assign variables.
Let's assign a variable to the length of CE. We'll use "y" to represent CE.
Step 3: Express the lengths of CD and DE in terms of x.
We're given that CE is 6x, CD is 4x + 8, and DE is 27. Since CD and DE are parts of CE, we can express them in terms of y as follows:
CD = (4/6)y = (2/3)y
DE = (27/6)y = (9/2)y
Step 4: Set up an equation.
Since CE is the sum of CD and DE, we can write the equation:
CD + DE = CE
(2/3)y + (9/2)y = y
Step 5: Simplify and solve for y.
To simplify the equation, we need a common denominator. The least common multiple of 3 and 2 is 6, so we multiply each fraction by 6:
(2/3)y * 6 + (9/2)y * 6 = y * 6
4y + 27y = 6y
31y = 6y
25y = 0
Divide both sides of the equation by 25:
y = 0
Step 6: Interpret the result.
The length of CE, represented by y, is 0. However, this doesn't make sense since CE cannot have a length of 0. Therefore, there seems to be an error in the information given or in its interpretation.
To find the actual length of CE, further clarification or correction of the given information is necessary.
2+4
4x + 8 + 27 = 6x
35 = 6x - 4x
35 = 2x
? = x