13-(-3)
adding the opposites, you get 16 degrees.
-3+13
using a number line: 3 to the left, 13 to the right=10 degrees
For example: 10-(-1)= positive 11. no. you could have -1-(-9). Add the opposites and you get positive 8.
5. Because 5 x 5 = 25. 25 x 5 = 125. or 5^3 is 125, which could be proved with a calculator. Hope this helps.
Answer:
![\large \boxed{x= 18; y = 5}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7Bx%3D%2018%3B%20y%20%3D%205%7D)
Step-by-step explanation:
1. Calculate x
![\begin{array}{rcll}7x - 23 & = & 3x + 49 & \text{Corresponding angles}\\7x & = & 3x + 72 & \text{Added 23 to each side}\\4x & = & 72 & \text{Subtracted 3x from each side}\\x & = & \mathbf{18} & \text{Divided each side by 4}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D7x%20-%2023%20%26%20%3D%20%26%203x%20%2B%2049%20%26%20%5Ctext%7BCorresponding%20angles%7D%5C%5C7x%20%26%20%3D%20%26%203x%20%2B%2072%20%26%20%5Ctext%7BAdded%2023%20to%20each%20side%7D%5C%5C4x%20%26%20%3D%20%26%2072%20%26%20%5Ctext%7BSubtracted%203x%20from%20each%20side%7D%5C%5Cx%20%26%20%3D%20%26%20%5Cmathbf%7B18%7D%20%26%20%5Ctext%7BDivided%20each%20side%20by%204%7D%5C%5C%5Cend%7Barray%7D)
2. Calculate y
![\begin{array}{rcll}3x & = & 11y - 1 & \text{Corresponding angles}\\3 \times 18 & = & 11y - 1 & \text{Substituted the value of x}\\54 & = & 11y - 1 &\text{Simplified}\\55 & = & 11y & \text{Added 1 to each side}\\y & = & \mathbf{5} & \text{Divided each side by 11}\\\end{array}\\\large \boxed{\mathbf{x= 18; y = 5}}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D3x%20%26%20%3D%20%26%2011y%20-%201%20%26%20%5Ctext%7BCorresponding%20angles%7D%5C%5C3%20%5Ctimes%2018%20%26%20%3D%20%26%2011y%20-%201%20%26%20%5Ctext%7BSubstituted%20the%20value%20of%20x%7D%5C%5C54%20%26%20%3D%20%26%2011y%20-%201%20%26%5Ctext%7BSimplified%7D%5C%5C55%20%26%20%3D%20%26%2011y%20%26%20%5Ctext%7BAdded%201%20to%20each%20side%7D%5C%5Cy%20%26%20%3D%20%26%20%5Cmathbf%7B5%7D%20%26%20%5Ctext%7BDivided%20each%20side%20by%2011%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Clarge%20%5Cboxed%7B%5Cmathbf%7Bx%3D%2018%3B%20y%20%3D%205%7D%7D)
Check:
7×18 - 23 = 3 × 18 + 49 3 × 18 = 11 × 5 - 1
126 - 23 = 54 + 49 54 = 55 - 1
103 = 103 54 = 54
OK.
Answer: multiply 10 to both terms and subrtact products
Step-by-step explanation:
10(5 - 2x)
multipy 10 to both terms
50 20x
subtract products
50 - 20x
Answer:
a. Net a
b. AB=3 inches BC=5 inches CD=8.6 inches
c. 4+3+5=12
12*8.6=103.2
surface area=103.2
Step-by-step explanation:
hope this helped! if you would like more explanation just comment down below