Examine the diagram, where quadrilateral MNOP is inscribed in ⨀C such that m∠P=(2x)∘ and m∠N=(2x−12)∘. What is the measure of m∠P and m∠N?

m∠P=96∘, m∠N=84∘
m∠P=84∘, m∠N=72∘
m∠P=90∘, m∠N=90∘
m∠P=72∘, m∠N=108∘

Option (1)

Step-by-step explanation:

Since quadrilateral MNOP is a cyclic quadrilateral, sum of opposite angles of the quadrilateral will be 180°.

m∠P + m∠N = 180°

(2x)° + (2x - 12)° = 180°

4x - 12 = 180

4x = 192

x = 48

Therefore, m∠P = (2x)° = 2×48 = 96°

m∠N = (2x - 12)° = (2×48) - 12 = 84°

Option (1) will be the answer.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0