Answer:
-31/6
Step-by-step explanation:
77+2(3x-5)=8-3(2x+1)
77+6x-10=8-6x-3
77-10+6x=8-3-6x
67+6x=5-6x
67+6x-(-6x)=5
67+6x+6x=5
67+12x=5
12x=5-67
12x=-62
x=-62/12
simplify
x=-31/6
<O = 16 degrees vertical angles are equal
<O + 4x+90 = 180 DC is a straight line
16 +4x +90 = 180
106 +4x = 180
4x =74
x =18.5
16 +90 +2y= 180 DC is a straight line
106+2y=180
2y = 74
y= 37
Answer : y=37
x=18.5
Answer:
Re = 6.2
Im = 37
Step-by-step explanation:
Re is the Real Axis which is the real number in the equation (6.2).
Im is the Imaginary Axis which is the imaginary number in the equation (37)
Answer:
no.
Step-by-step explanation:
the 4 on the sides are half the area of the ones of the top and bottom because if you take two small ones they will fit with one of the big ones.
sorry if I'm wrong.
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
