Melody hasn't done anything to you....

If MO bisects LMN, then LMO and NMO are equal. So 8x-23=2x+37.

8x-23=2x+37

6x=60

x=10.

LMN=8x-23+2x+37

LMN=10x+14

LMN=10(10)+14

LMN=114

Is there supposed to be a value for y...?

0.001 is 10^-3 and 2000000 is 2*10^6. Multiplied we have

10^-3*2*10^6

2*10^3.

Notice we can divide the parallelogram like this:

There are two triangles and one smaller parallelogram. The two triangles are the same, and each of their area's is 1/2*1*3=1/2*3=3/2. The parallelogram's area is 1*3=3. So the total area of this is 2(3/2)+3=3+3=6.

The angle of 9x+25 and 13x-19 are corresponding angles, and they are equal to each other. so we have:

9x+25=13x-19

4x=44

x=11

Now the angle of 13x-19 and 17y+5 are supplementary. We find 13x-19=13(11)-19=124.

So 124+17y+5=180

17y+5=56

17y=51

y=3

So x=11, y=3.

ABN+NBC=ABC so we substitute the given values of each angle.

23x+63x+3=175

86x+3=175

86x=172

x=2

The two segments HI and IJ must add up to the length of the HJ. So we have the equation:

3x-5+(x-1)=7x-27

4x-6=7x-27

3x=21

x=7

Ah never mind, I've got it.

The distributive property.

Move everything to make it a quadratic equaation:

x^2-4x=5

x^2-4x-5=0

Factor and solve for x:

(x-5)(x+1)=0

x=5, -1

The 1st statement is true. Any of the other two angles that are not the third angle equal to the supplement of the third angle. So angle 1 and 2 add up to be equal to angle 4, which is angle 3's supplement.

Ah that makes much more sense. Thank you guest!

You're welcome!

Let x be the number of adult tickets sold. Then the number of children tickets sold is 275-x. Now we form an equation to represent the total money made from selling the tickets.

14x+6(275-x)=2458

14x+1650-6x=2458

8x+1650=2458

8x=808

x=101.

If a number were less than -3, the only possible choice is -5. There are no options here greater than 5 though, so it is not possible.

Although I believe the problem should be phrased "Which number is less than -3 and greater than 5."