Answer:
x = 121°
Step-by-step explanation:
If you add up all the angles of a triangle, you get 180°.
So you must add up all the angles.

Next you subtract 59 on both sides.

x should be 121°.
If you would like to check your answer, you can add up 27, 32, and 121. If it all equals to 180, then your answer is correct.
Answer:
The amount of white fabric to coloured fabric as a ratio is 20:11
Step-by-step explanation:
We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.
Length of colored fabric = 11 mm
Length of White fabric = 2 cm
1 cm = 10 mm
2 cm = 20 mm
So, length of white fabric = 20 mm
So, Ratio of the amount of white fabric to coloured fabric = 
Hence the amount of white fabric to coloured fabric as a ratio is 20:11
Answer:
The correct answer is;
No, the quadrilateral is not always a parallelogram
Step-by-step explanation:
Since there are only four opposite angles in a quadrilateral there are only two possible angle bisectors of the opposite angles also, the angle bisectors of a pair of opposite angles of a quadrilateral will intersect within the quadrilateral and therefore they cannot form the sides of a parallelogram
Therefore, the answer is no, the quadrilateral is not always a parallelogram.
Answer:
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.
Answer:
Step-by-step explanation:
xy=-30
y=-30/x
x+y=-4
x-30/x=-4
x²-30=-4x
x²+4x-30=0

