Answer:
x=28
Step-by-step explanation:
From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.
Summarizing:
1. m<3 = m<4
2. m<1 = m<2
3. m<1 + m<2 + m<3 + m<4 = 360
Substituting 1 and 2 in equation three we have:
4. 2m<2 + 2m<3 = 360.
Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:
2 ( x + 84) + 2 ( 3x + 16) = 360
Solving for x:
2x + 168 + 6x + 32 = 360
8x = 224
x=28
M equals 3x+21 because you add 2x+1x=3x.then you add 14+7=21.then you combine them together to get 3x+21
I'm not doing your math homework, this is to help you learn and pass your test :) I will however show you a trick. ask your self this... "What can i factor out of 4x that i can also factor out of 8, which this would be 4. Now what you do if you divide everything by 4
4x/4 = x
8/4 = 2
so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
4*2 = 8
so 4(x+2) = 4x+8
Notice, 3 decimals, so, we can just use 3 zeros, thus
First, subtract 5 from both sides, leaving you with 5
- 30x - 5 = 0
If you use the quadratic formula (a=5), (b=-30), (c=-5)
x=-b +/- √b²-4ac / 2a
x= -(30) +/- √(30)² - 4(5) * (-5) / 2(5)
x= 30 +/- √1000 / 10
x = 3 +/- √10
