Answer:
140°
Step-by-step explanation:
<3 = 40 because they are vertical angles
<3 +<4 = 180 because they are same side interior angles
40 + <4 = 180
Subtract 40 from each side
40-40 + <4 = 180-40
<4 = 140
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = 
= 
= 
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = 
≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = 
= 
= 
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = 
≈ 32.3 in ( to the nearest tenth )
Answer:
Step-by-step explanation:
x=number of talk mnutes
Sage uses 7 minutes = x-7
Tom uses 4 and 3 minutes = x-4-3 = x-7
4/5 + a = 1
=1/5
*try using cymath it helps!
Answer:
- y=14-2x; 6x+3y=42
- 2x+y=17; -6x=3y-51
Step-by-step explanation:
Dependent equations will have infinite solutions. One way to tell if a system of equations is dependent is to put all of the equations into standard form. Here, we can use the form ...
ax + by = c
where a, b, c are mutually prime integers and "a" is positive. When dependent equations are put in this form, they resolve to the same equation.
Here, the rearrangement is accomplished by putting the x- and y-terms on the same side of the equal sign, with the x-term having a positive coefficient. If necessary, the constant is put on the other side, and any common factors removed from all of them.
Then the sets of equations are ...
- 2x +5y = 31
- 6x -y = 13 . . . . not dependent
__
- 2x +y = 10
- 6x +3y = -7 . . . . not dependent
__
- 2x +y = 14
- 2x +y = 14 . . . . dependent
__
- 2x +y = 13
- 4x -3y = -19 . . . . not dependent
__
- 2x +y = 14
- x +2y = 13 . . . . not dependent
__
- 2x +y = 17
- 2x +y = 17 . . . . dependent
__
The 3rd and 5th sets of equations are dependent, so have infinite solutions.
_____
The second set of equations is inconsistent, so has no solutions.
