For the top angles you would solve them by setting them equal to each other, so you would do 3x+5=17x-70. You can then add 70 to both sides, getting 3x+75=17x. You can then subtract 3x from both sides, getting 75=14x. You then divide both sides, getting 5 5/14 or around 5.36 as x. You can then add plug that into 3x+5, getting around 21.07. You can then make the equation R=180-21.07. You'd get 158.93.
5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9
-9 would be the simplified answer.
Hope this helps!
Chelsea vs. Atlético Madrid, Champions League: Confirmed lineups; how to watch
¹³/₁₂
<h3>
Further explanation</h3>
<u>Given:</u>
![\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B1%7D%7B6%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%3F%20%5C%20%7D)
- A fraction represents part of a whole.
- A fraction consists of a numerator and a denominator. i.e.,
. - The numerator = the number of equal parts of a whole.
- The denominator = the total number of parts that make up said whole.
From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.
- Multiples of 3:
![\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5C%7B3%2C%206%2C%209%2C%2012%2C%2015%2C%20...%20%5C%7D%20%5C%20%7D)
- Multiples of 4:
![\boxed{ \ \{4, 8, 12, 16, ... \} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5C%7B4%2C%208%2C%2012%2C%2016%2C%20...%20%5C%7D%20%5C%20%7D)
- Multiples of 6:
![\boxed{ \ \{6, 12, 18, ... \} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5C%7B6%2C%2012%2C%2018%2C%20...%20%5C%7D%20%5C%20%7D)
Hence, the LCM for 3, 4, and 6 is 12.
We change the denominator for each fraction to 12.
![\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B1%7D%7B6%7D%20%5Crightarrow%20%5Cfrac%7Bmultiply%20%5C%20by%20%5C%202%7D%7Bmultiply%20%5C%20by%20%5C%202%7D%20%5Crightarrow%20%5Cfrac%7B2%7D%7B12%7D%20%5C%20%7D)
![\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B2%7D%7B3%7D%20%5Crightarrow%20%5Cfrac%7Bmultiply%20%5C%20by%20%5C%204%7D%7Bmultiply%20%5C%20by%20%5C%204%7D%20%5Crightarrow%20%5Cfrac%7B8%7D%7B12%7D%20%5C%20%7D)
![\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B1%7D%7B4%7D%20%5Crightarrow%20%5Cfrac%7Bmultiply%20%5C%20by%20%5C%203%7D%7Bmultiply%20%5C%20by%20%5C%203%7D%20%5Crightarrow%20%5Cfrac%7B3%7D%7B12%7D%20%5C%20%7D)
Then we continue adding fractions.
![\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B1%7D%7B6%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B2%7D%7B12%7D%20%2B%20%5Cfrac%7B8%7D%7B12%7D%20%2B%20%5Cfrac%7B3%7D%7B12%7D%20%5C%20%7D)
![\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B1%7D%7B6%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cboxed%7B%20%5C%20%5Cfrac%7B13%7D%7B12%7D%20%5C%20%7D%20%5C%20%7D)
Thus, the result is ![\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cfrac%7B13%7D%7B12%7D%20%5C%20or%20%5C%201%5Cfrac%7B1%7D%7B12%7D%5C%20%7D)
<h3>Learn more</h3>
- ²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
- 100 is 1/10 of what? brainly.com/question/96535
- Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#
Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM