Another one i wanna dir :,) IF ray ST bisects ∠VSU, m∠VST = 6z+3, and m∠TSU = 3(z+12), calculate m∠VSU. Assume that point T is on the interior of ∠VSU.

∠VSU =   138°

Step-by-step explanation:

ST bisects ∠VSU

So, ∠VST = ∠TSU

6z + 3 = 3(z + 12)

6z + 3 = 3z + 3*12    {distributive property}

6z + 3 = 3z + 36       {Subtract 3 from both sides}

6z   = 3z +  36 - 3

6z = 3z + 33    {Subtract 3x from both sides}

6z - 3z = 33

3z = 33   {Divide both sides by 3}

z = 33/3

z = 11

∠VST = 6z + 3 = 6 *11 + 3

         = 66 + 3

         = 69

∠VSU = 69 + 69 = 138°

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.