Answer:
the slope or gradient is 8/2=4
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°
I think that the angles of the polygon would not change since there isn't a change of the shape, rather it position and rotation. The sum of each internal angle is found using S = 180(n-2), so
S = 180(5-2)
S = 180(3)
S = 540
540 / 5 = 108 degrees.
Therefore, all angles in the polygon is 108 degrees. I think this is what you meant right?
Answer:
C
Step-by-step explanation:
Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.
