144k views
4 votes
Find x if m/VUC = -4 + 5x,
m/CUT= 140°, and m2VUT= 23x - 8

Find x if m/VUC = -4 + 5x, m/CUT= 140°, and m2VUT= 23x - 8-example-1

1 Answer

6 votes

Answer: (140° + 4/CUTVUC)CUT/5

Explanation:

To solve for x, we can use the given equations:

m/VUC = -4 + 5x, m/CUT= 140°, and m2VUT= 23x - 8

We can start by solving the first equation for x:

m/VUC = -4 + 5x m = (-4 + 5x)VUC m/VUC = -4/VUC + 5x

Next, we can substitute this expression for m/VUC into the second equation:

m/CUT = 140° (-4/VUC + 5x)/CUT = 140° -4/CUTVUC + 5x/CUT = 140° 5x/CUT = 140° + 4/CUTVUC 5x = (140° + 4/CUTVUC)CUT x = (140° + 4/CUTVUC)CUT/5

Finally, we can substitute this expression for x into the third equation:

m2VUT = 23x - 8 m2VUT = 23((140° + 4/CUTVUC)CUT/5) - 8 m2VUT = 6440°/5 + 92/CUTVUC - 8 m2VUT = 1288°/5 + 92/CUTVUC

Therefore, the value of x is approximately (140° + 4/CUTVUC)CUT/5.

User Coinhndp
by
8.5k points