The perimeter of a triangle is 33 centimeters. The second side is twice as long as the first side, and the third side is three centimeters longer than the second. How long is each side? Define your variable. (What is your variable and
what does it represent?

a = 6, b = 12, and c = 15

Step-by-step explanation:

For this first equation, I'll be using the variables of a, b and c because they're are commonly used to mark the sides of triangles, a being the first side, b being the second, and c being the third. The first equation is

a + b + c = 33

Duh, but lets figure out what those variables mean. I am going to use x as the value of the first side. a = x, b = 2x, and c = 2x+3. Now, if plus those into the equation we get

x + 2x + (2x+3)= 33

Add your like terms to get

5x + 3 = 33

and follow the order of operations to get

x = 6

Plug the value of x back into the individual side equations.

a = 6, b = 2(6) and c = 2(6) + 3

simplify and you get your answer.

because its not ur topic and its not for is for homework not that.

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