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
For this case we have the following expression:
5x3 + 40y6
Common factor 5:
5 (x3 + 8y6)
Factoring the expression within the parenthesis we have:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
The factored expression is given by:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer: $88.00 per week
Step-by-step explanation: 10% of 22 is 2.2. 22 + 2.2 = 24.20 per hour
Multiply 24.20x40hours = 968.00
Multiply 22.00x40 hours =880.00
Subtract 968-880=88.00 his new weekly pay minus his old weekly pay