Please help me in math I’m tried and hungry.

19. x = 7

20. m∠XWY = 24

21. m∠XWZ = 48

Step-by-step explanation:

Since,

WY bisects ∠XWZ.

So,

XWY = ZWY

XWY = 4x - 4

ZWY = 2x + 10

19.

XWY = ZWY

4x - 4 = 2x + 10

4x - 2x = 10 + 4

2x = 14

x = 14 / 2

x = 7

20.

m∠XWY = 4x - 4

Substitute x = 7,

4x - 4

= 4 ( 7 ) - 4

= 28 - 4

= 24

Hence,

m∠XWY = 24

21.

m∠XWZ = m∠XWY + m∠ZWY

m∠ZWY = 2x + 10

Substitute x = 7,

2x + 10

= 2 ( 7 ) + 10

= 14 + 10

= 24

So,

m∠ZWY = 24

m∠XWZ = m∠XWY + m∠ZWY

              = 24 + 24

m∠XWZ = 48

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24