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."
+781 
