Hey there :)
Here we need to use Trigonometry!
The given
angle is
61°The
opposite to the angle is
22 So
x is the
adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =

tan 61 =

adj =

adj ≈ 12.19 ≈ 12
x = 12
Step-by-step explanation:
$20/hr carpenter pay
$25/hr blacksmith pay
Let c = hours working carpentry
Let b = hours working as blacksmith
c + b = 30 {equation 1}
20c + 25b = 690 {equation 2}
In equation 1 solve for one variable in terms of the other.
c = 30-b
Substitute that into equation 2:
20(30-b) + 25b = 690
600 - 20b + 25b = 690
5b = 90
b = 90/5
b = 18 hours working as a blacksmith
c = 30-b = 30-18 = 12 hours as a carpenter
Answer:
Step-by-step explanation:
eq. of any line through (1,2) with slope m is
y-2=m(x-1)
if the line is parallel to x-axis then y=2
if the line is parallel to y-axis then x=1
Octagon has 8 sides so the sum of the angles of the octagon is 180(8-2)=180 (6)=1080 degrees