Answer:
A = arctan(BC/CA) = arctan(8/2) = 75.96 deg
Hope this helps!
:)
Answer:
idk
Step-by-step explanation:
idk....,..................
Combine the terms by multiplying into a single fraction.
![\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%7D%7B2%7Dx-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Find the common denominator.
![\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Combine fractions with the lowest common denominator.
![\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x%28-7%29%7D%7B2%7D%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Multiply the numbers.
![\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Combine the multiplied terms into a single fraction
![\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%7D%7B4%7D%2B14%20%20%20%7D)
Find the common denominator.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%7D%7B4%7D%2B%5Cdfrac%7B4%5Ccdot14%7D%7B4%7D%20%20%20%20%7D)
Combine fractions with the lowest common denominator.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%2B4%5Ccdot14%7D%7B4%7D%20%20%20%7D)
Multiply the numbers.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%2B56%7D%7B4%7D%20%20%20%7D)
Eliminate the denominators of the fractions.
![\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B4%5Ccdot%5Cdfrac%7B5x-14%7D%7B2%7D%3D4%5Ccdot%5Cdfrac%7B3x%2B56%7D%7B4%7D%20%20%20%7D)
Cancel the multiplied terms that are in the denominator.
![\bf{2(5x-14)=3x+56}](https://tex.z-dn.net/?f=%5Cbf%7B2%285x-14%29%3D3x%2B56%7D)
To distribute.
![\bf{10x-28=3x+56 }](https://tex.z-dn.net/?f=%5Cbf%7B10x-28%3D3x%2B56%20%7D)
Add 28 to both sides.
![\bf{10x-28+28=3x+56+28 }](https://tex.z-dn.net/?f=%5Cbf%7B10x-28%2B28%3D3x%2B56%2B28%20%7D)
Simplify
![\bf{10x=3x+84 }](https://tex.z-dn.net/?f=%5Cbf%7B10x%3D3x%2B84%20%7D)
Subtract 3x from both sides.
![\bf{10x-3x=3x+84-3x }](https://tex.z-dn.net/?f=%5Cbf%7B10x-3x%3D3x%2B84-3x%20%7D)
Simplify
![\bf{7x=84 }](https://tex.z-dn.net/?f=%5Cbf%7B7x%3D84%20%7D)
Divide both sides by the same factor.
![\bf{x=\dfrac{84}{7} }](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D%5Cdfrac%7B84%7D%7B7%7D%20%7D)
Simplify
![\bf{x=12 \ \ \ === > \ \ \ Answer}](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D12%20%5C%20%5C%20%5C%20%3D%3D%3D%20%3E%20%5C%20%5C%20%5C%20Answer%7D)
↓
<h3>Verification</h3>
Let x=12.
![\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%7D%7B2%7D%5Ctimes12-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%5Ctimes12%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B60%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{3\times12}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B3%5Ctimes12%7D%7B4%7D%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{36}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B36%7D%7B4%7D%2B14%20%20%20%7D)
![\bf{30-7=9+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D9%2B14%20%20%20%7D)
![\bf{23=9+14 }](https://tex.z-dn.net/?f=%5Cbf%7B23%3D9%2B14%20%7D)
![\bf{23=23}](https://tex.z-dn.net/?f=%5Cbf%7B23%3D23%7D)
Checked ✅
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28
Answer:
A: 1/5
B: 3/5
Step-by-step explanation: