Question

Line m bisects CW at point T. CW = 40 and TW = 3x+2. Find the value of x. pleasee helpp ​

Answer 1

Explanation:

To find the value of x, we can use the property of a bisector that divides a line segment into two equal parts. Therefore, CT = TW.

Given that CW = 40 and TW = 3x + 2, we can substitute TW with CT to get:

CT = TW

CT = 3x + 2

We also know that CW = CT + TW, so we can substitute the values of CT and TW to get:

CW = CT + TW

40 = CT + (3x + 2)

38 = CT + 3x

38 - 3x = CT

Since line m bisects CW at point T, we know that CT = TW. Substituting this into the equation above, we get:

38 - 3x = TW

38 - 3x = 3x + 2

36 = 6x

x = 6

Answer 2

x = 6

Explanation:

since line m bisects CW at point T , then

CT = TW = 3x + 2

and

CT + TW = CW

3x + 2 + 3x + 2 = 40

6x + 4 = 40 ( subtract 4 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6