Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
Answer:
.545454545
Step-by-step explanation:
I used my calculator for it I am terribly sorry if it's wrong
Answer:
x > 28/3
Step-by-step explanation:
34 > 3(2 − x)
simplify the bracket
34 > 6 -3x
combine the like terms
34 - 6 > 3x
28 > 3x
divide by 3
x > 28/3
Sorry I don't know how to graph here, but I can graph it by writing the way it can be graphed.
It is in slope intercept form; y = mx + b
where mx is the slope and b is the y-intercept;
x>28/3; where 28/3 is the slope which means; at the y-intercept, go up 28 times and to the right 3 times
And b is 0; which means at 0 where the slope will be applied, go up 28 times and to the right 3 times.
Hope this helps!
Good luck.
Answer:
45
2
03
16
26
224
Step-by-step explanation: