Given: l║m, m ∉ l, m ∉ m. the distance between point m and line l is 4 cm, the distance between m and line m is 3 cm. find the distance between parallel lines l and m. (consider two possible positions for point m)

The distance between m and I can 7 cm or 1 cm.

Explanation:

According to the question, distance between point M and line m= 3 cm

Distance between point M and line I=4 cm

Since, according to the given data there can be two cases possible.

M can be a point between these two lines

In this case the distance between m and I = distance between point M and line m + distance between point M and line I=  3+4=7 cm

M can be the point above the line m(where line m is above the line I)

In this case the distance between m and I= Distance between point M and line I- distance between point M and line I= 4-3=1 cm

Note: we can not take the case in which M is the point above the line I  where line I is above the line m because in that case distance between M and m must be greater than 3 which can not be possible.  

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

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: