Please help. I keep getting a negative distance when doing the formula

  EF ≥ 4

Step-by-step explanation:

EF is the midline of the trapezoid so its length is the average of the two base lengths:

  (AD +BC)/2 = EF

  AD +BC = 2·EF . . . . multiply by 2

  8 +2x -4 = 2(x+2) . . . substitute the expressions for the segment lengths

  2x +4 = 2x +4 . . . . . . true for any value of x

We only require that segment BC is non-negative in length, so ...

  BC ≥ 0

  2x -4 ≥ 0 . . . . substitute the expression for BC

  x -2 ≥ 0 . . . . . divide by 2

  x ≥ 2

Then segment EF will be ...

  x +2 ≥ 4 . . . . add 2 to both sides of the inequality for x

The only restriction the figure puts on the length of EF is ...

  EF ≥ 4

We suggest you talk to your teacher about this problem. The figure shown does not require that EF have any particular value.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841