Since 3x+17=5x-3, x= 10. so angles
Answer: X + 11 = 5x - 25
x+11=5x−25
Step 1: Subtract 5x from both sides.
x+11−5x=5x−25−5x
−4x+11=−25
Step 2: Subtract 11 from both sides.
−4x+11−11=−25−11
−4x=−36
Step 3: Divide both sides by -4.
−4x/−4=−36/−4
Answer:
1. -21
2. 0
3. ![-\frac{5}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D)
Step-by-step explanation:
1. 18 = ![-\frac{6}{7} h](https://tex.z-dn.net/?f=-%5Cfrac%7B6%7D%7B7%7D%20h)
multiply both sides by the reciprocal of -6/7.
18 = ![-\frac{6}{7} h](https://tex.z-dn.net/?f=-%5Cfrac%7B6%7D%7B7%7D%20h)
![(-\frac{7}{6} )](https://tex.z-dn.net/?f=%28-%5Cfrac%7B7%7D%7B6%7D%20%29)
-21 = h
-------------------
2. ![-\frac{3}{4} x=\frac{21}{8} x](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D%20x%3D%5Cfrac%7B21%7D%7B8%7D%20x)
find the LCM of both fractions.
LCM = 8
multiply both fractions by the LCM
![-\frac{3}{4} x(8)=\frac{21}{8} x(8)](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D%20x%288%29%3D%5Cfrac%7B21%7D%7B8%7D%20x%288%29)
-6x = 21x
subtract 21x from both sides
-6x-21x = 21x-21x
-27x = 0
isolate x
-27x/-27 = 0
x = 0
-------------------
3. ![-\frac{1}{2} z=\frac{5}{12}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20z%3D%5Cfrac%7B5%7D%7B12%7D)
multiply both sides by the reciprocal of -1/2.
![-\frac{1}{2} z(-2)=\frac{5}{12}(-2)](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20z%28-2%29%3D%5Cfrac%7B5%7D%7B12%7D%28-2%29)
z = ![-\frac{5}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D)
hope this helps :)
![1\frac{1}{2}x=6\\x=4](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7Dx%3D6%5C%5Cx%3D4)
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