Trapezoids rstv is an isosceles trapezoid. decide whether each statement is true or false. justify your answer. 1. true or false why? tr ⊥ sv 2. true or false why? ∠rvt ≅ ∠stv 3. true or false why? ∠srv & ∠tvr are supplementary. wxyz is an isosceles trapezoid with bases wz and xy and median mn. use the given information to solve each problem. 4. mn = find mn if wz = 11 and xy = 3. 5. m∠xmn = find m∠xmn if m∠wzn = 78°. 6. xy = if mn = 10 and wz = 14, find xy. 7. x = what is the value of ‘x’ if m∠mwz = (15x –5)° and m∠wzn = (90 – 4x)°? 8. x = if m∠xwz = (2x – 7)° and m∠xyz = 117°, find the value of ‘x’. 9. x = if mn = 60, xy = 4x – 1, and wz = 6x + 11, find the value of ‘x’. 10. x = if mn = 10x + 3, wz = 11, and xy = 8x + 19, find the value of ‘x’. 11. x = if mn = 2x + 1, xy = 8, and wz = 3x – 3, find the value of ‘x’. can someone do this for me? im having a hard time and i have a 42 in math rn and i just need these done cause they are late.. if anyone likes geometry then here you go

NAME:     Nzube Erobu        DATE: 02/ 06 / 2020

Step-by-step explanation: With reference to the attached document, below:

1) False, the lines linking between TR and SV are diagonals

2) True,  ∠RVT = ∠ STV because they have the same right angled triangles.

3) True, because they separate triangles that have all angles in each triangle summing up to 180°  

4) (11 + 3)/2 = 14/2= 7

7) (15x - 5)° + (90 - 4x)° = 180°

(15x - 4x + 90 - 5)° = 180°

( x + 85)° = 180°

∴ x = 180° - 85° = 95°

8) (2x - 7)° + 117° = 180°

2x° +117° - 7° = 180°

2x° + 110° = 180°

2x = 180° - 110°

∴ x = 70°/2 = 35°

9) 4x - 1 + 6x + 11 = 60

4x + 6x + 11 -1 = 60

10x + 10 = 60

10x = 60 - 10 = 50

∴ x = 50/10 = 5

10) 18x + 19 - (10x + 3)  = 11

       18x - 10x + 19 - 3 = 11

8x + 16 = 11

8x = 11 - 16 = - 5

∴ x = - 5/8

11) 2x + 1 + 3x - 3 = 8

2x + 3x  - 3 + 1 = 8

5x - 2 = 8

5x = 8 + 2= 10

∴ x = 10/5 = 2

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted