Answer:
Step-by-step explanation:
20) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
21) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
22) Angle TUW + Angle WUV =Angle TUV
Therefore
(7x-9) + (5x - 11) = (9x+1)
7x-9 + 5x - 11 = 9x+1
7x +5x-9x =1 + 11 + 9
3x = 21
x = 21/3= 7
23) GEF - 13 = 5DEG
and DEF = 149 degrees
GEF = 5DEG + 13
Sum of angles (GEF + DEG)=DEF
Therefore,
DEG + 5DEG - 13 = 149
6DEG = 149 + 13 = 162
DEG = 162/6 = 27
GEF = 5DEG = 27 × 5 =135
24) 7x - 1 + 6x -1 = 180(sum of angles in a straight line)
13x-2 = 180
13x = 180+2 = 182
x = 182/13 = 14
25) 5x + 4 + 8x - 7 = 180( sum of supplementary angles is 180)
13x = 180+7-4= 183
x = 183/13 = 14.08
You need to add the problem you need help with....
We can automatically see that we are dealing with a percent decrease because we are going from a smaller to a bigger number. We need to first find what percent of 140the number 84 is. to do this we can set up the following equation:
140/84=100/x (this equation is basically saying if 140 is 100(%) what would 84 be?)
solving for x here gives us x = (84 X 100)/140 = 60, so 84 is 60 percent of 140 which means 140 decreased by 40 percent.
Let me know if I can clear anything else up.
You reverse what you did, so first you go 5 units down which makes the coordinates (9,1) then you move 3 units left which then is (6,1). Then you go 4 units up which lets you end out at (6,5).
See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
