The quadrilateral is cyclic, because the angle that the tangent and the radius meet forms a right angle. Since the two opposite angles are 90° each, they form a 180° summation. Thus, the four points are cyclic.
Now, the smaller ∠O is 135, which means x is 180 - 135 because the four points are concyclic. Thus ∠O + x = 180°
Hence, x = 180 - 135 = 45°
∴ x = 45°
Answer:
acceleration=final velocity - initial velocity/total time
a=65-35/5
a=30/5
a=6
The probability that the card chosen will not be green is 5/7
Answer:
Youre answer would be y
≥
7
13
y≥7/13
Step-by-step explanation:
Move all terms not containing
y
y
to the right side of the inequality.
13
y
≥
7
13y≥7
Divide each term by
13
13
and simplify.
Divide each term in
13
y
≥
7
13y≥7
by
13
13
.
13
y
13
≥
7
13
13y13≥713
Reduce the expression by cancelling the common factors.
y
≥
7
13
y≥713
