<u>Given</u>:
Given that a circle O with two tangents BA and BC.
The major arc AC is 234°
The minor arc AC is 126°
We need to determine the measure of ∠ABC
<u>Measure of ∠ABC:</u>
We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."
Hence, applying the above property, we have;

Substituting the values, we get;



Thus, the measure of ∠ABC is 54°
Hence, Option b is the correct answer.
We are given with th equation <span>y = 3x2 – 12x + 12. In this respect, we expect that this is a parabola and that the vertex does not lie on (0,0). Since the power or degree is 2, it is expected that per value of y, there are two equivalent x's in the plot. You can verify it in the graph.</span>
The coordinates of vertex G are (2,0). I did this.
Hmmm......
Then, you must be thinking of 19.
Explanation:
Let you numher be x
now
according to question
multiply it by 8 and it becomes 8×x = 8x
Now add 22
so it becomes
8x + 22
now as told in the question take the same number again i.e x for one more time.
multiply it by 6
and you'll get 6x
and after adding 60 you'll get 6x + 60
Now again according to question
8x+ 22 and 6x+60 are same number therefore they must be equal,
8x+22 = 6x+60
Do a little azebra
8x -6x = 60 -22
2x = 38
x = 19.
and Tada, your number is here.