Parallelogram L M N O is shown. Angle M is (3 x minus 55) degrees, angle N is (5 y) degrees, and angle O is (2 x) degrees. In parallelogram LMNO, what are the values of x and y? x = 11, y = 14 x = 11, y = 25 x = 55, y = 14 x = 55, y = 25

The correct option is:

x=55 , y = 14

Step-by-step explanation:

We know about the following features of a parallelogram:

For the parallelogram LMNO, <L and <N are opposite angles, <M and <O are opposite angles.

Are opposite angles are equal.

<M = <O

3x - 55 = 2x

3x - 2x = 55

x = 55

So

<M = 3x - 55 = 110°

<O = 2x = 110°

We know that the sum of angles is 360°

<L + <M + <N + <O = 360°

<L + <N + 110° + 110° = 360°

As <L and <N are opposite, both are equal. hence <L = <M = 5y

5y + 5y + 220° = 360°

10y + 220° = 360°

y = 14

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

there will be 35 boys in each team. : )