Um.Answer with step by step explanation? :)

Step-by-step explanation:

c )

Sum of all angles on a straight line is 180° so,

3x - 30 + 2x + 30 = 180

5x = 180

x = 180/5

x = 36

so,

value of x is 36

therefore, 3x - 30 = 3(36) - 30 = 108 - 30 = 78°

also we know,

2y = 78° ( Vertically opposite angle )

so,

2y = 78

y = 78/2 = 39°

hence, x = 36° and y = 39°

d )

sum of all angles on a straight line is 180°

so,

we know,

2x/3+1

2(174)/3 + 1

348/3 + 1

116 + 1 = 117

now,

3y + 2 = 117 ( vertically opposite angle)

3y = 117 - 2 = 115

y = 115/3 = 38.3°

hence, x = 174 and y = 38.3.

hope this answer helps you dear...take care and may u have a great day ahead!

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