Point M is the segment bisector. what is the value of x?

Explanation:

"Bisect" means to cut in half

M is the midpoint as it cuts segment ST in half

SM and MT are the same length

SM = MT

2x+3 = 4x-7

2x-4x = -7-3

-2x = -10

x = -10/(-2)

x = 5

If x = 5, then

SM = 2x+3 = 2(5)+3 = 10+3 = 13

MT = 4x-7 = 4(5)-7 = 20-7 = 13

Both SM and MT are the same length (13 units). This confirms the answer.

where is the image?

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)