Answer:
y = 8
Step-by-step explanation:
![-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8](https://tex.z-dn.net/?f=-2%283y%20-%206%29%20%2B%204%285y%20-%208%29%20%3D%2092%5C%5C%5C%5C%5Cmathrm%7BExpand%5C%3A%7D-2%5Cleft%283y-6%5Cright%29%2B4%5Cleft%285y-8%5Cright%29%3A%5Cquad%2014y-20%5C%5C14y-20%3D92%5C%5C%5C%5C%5Cmathrm%7BAdd%5C%3A%7D20%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C14y-20%2B20%3D92%2B20%5C%5C%5C%5CSimplify%5C%5C14y%3D112%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D14%5C%5C%5Cfrac%7B14y%7D%7B14%7D%3D%5Cfrac%7B112%7D%7B14%7D%5C%5C%5C%5CSimplify%5C%5Cy%3D%208)
K is equal to 2.
You have to move the 4 to the other side and change the addition sign to subtraction. After that, you have to subtract 8 and 4 which will give you 4 and 4 divided by 2 is 2 which means that k equals 2.
<span>In the question "Ray UW is the angle bisector of VUT.
If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?"
It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT.
i.e. 4x + 6 = 6x - 10
6x - 4x = 6 + 10
2x = 16
x = 8
Therefore, the measure of WUT = 6x - 10 = 6(8) - 10 = 48 - 10 = 38
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