geometry question?

Question

Line segment AC has the length of 31. B is the midpoint of Line AC.
Segment AB is 3x + 1 in length.
Segment BC is 4x - 5 in length.

what is the value of x?

Answer 1

Classic segment addition postulate.
AB+BC=AC

so 3x+1+4x-5=31

Solve for x to get x = 5

technically B is not the midpoint because AB=16 and BC=15.

Answer 2

Since B is the midpoint of line segment AC, that means
length of segment AB + length of segment BC = length of segment AC
3x+1 + 4x-5 = 31
Combine like terms
7x - 4 = 31
Add 4 to each side
7x = 35
Divide both sides by 7
x = 5

Answer 3

AB + BC = AC

(3x + 1) + (4x - 5) = 31
3x + 1 + 4x - 5 = 31
7x - 4 = 31
7x = 35
x = 5

ANS : x = 5

Answer 4

ok, if ac is 31 and b is the midpoint, then ab and bc are equal.
so, ab = bc
therefore, 4x-5=3x+1 add five to both sides
so, 4x=3x+6, so, if we subtract 3x from both sides, you get
x=6

Answer 5

actual, the only element that i will locate in basic with sacred geometry and alchemy is they the two cope with varieties of spirituality. Sacred geometry deals with using geometric varieties and shapes interior the layout and shape of churches, temples, mosques or everywhere of religious amassing. those specific shapes propose specific issues, based on the religion or perception device. for occasion, the pentagram in Christianity refers back to the 5 senses. In Catholicism, it may in specific circumstances talk with the devil, or the Evil One. Alchemy deals with the technique of turning metals into gold, using chemical components and technological information. besides the undeniable fact that, Alchemy is likewise a perception in looking the purely suited understanding by using chemistry. subsequently, alchemy is a spirituality all its own. All in all, the only element that i will see in basic between the two is they the two cope with a variety, or varieties, of spirituality.

Answer 6

x = 4.83 in the first because
4.833333333333333333333333333333 x 3 + 1 = 15.5

x = 5.125 x 4 - 5 = 15.5