4) Which expression is equivalent to (-4x+3y-5)2 ?
1 answer:
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Answer:
The angles are 45°, 60° , 75°
Step-by-step explanation:
<h3>Angle sum property:</h3>Sum of all the angles of a triangle is 180°.
Equation:
3x + 5x + 4x = 180
Combine like terms,
12x = 180
x = 180/12
3x = 3 *15 = 45°
5x = 5* 15 = 75°
4x = 4 *15 = 60°
Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
