Answer:
TZ = 10 units
UY = 12 units
ZW = 11 units
Step-by-step explanation:
Point Z is the centroid of ΔTUV.
Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1
Therefore, TZ = 2(ZX)
TZ = 2(5) = 10 units
UY = UZ + ZY
= UZ + 
= 
= 
= 12 units
ZW = 
= 
= 11 units
For no. 12 the car is not moving between 3 and 4
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1