In the diagram below of triangle VWX, Y is a midpoint of VW and Z is a midpoint of W X. If mZY ZW = 64 - 2x, and mZVXZ= 92 - 92, what is the measure of ZV X Z?

m<VXZ = 56°

Step-by-step explanation:

Given that these lines are midpoints, they must be parrallel from each other which means that the corresponding angles are congruent.

Therefore the following equation is true:

m<YZW = m<VXZ

Since we now have this equation, substitute the expressions of the angles into the equation.

m<YZW = m<VXZ

| |

v v

92 - 9x = 64 - 2x

+9x +9x

92 = 7x + 64

-64 -64

28 = 7x

÷7 ÷7

4 = x

x = 4

Now since we know x is 4, substitute this back into the expressions given to find both of their measures.

x = 4 → 92 - 9x = 64 - 2x

92 - 9(4) = 64 - 2(4)

92 - 36 = 64 - 8

56 = 56 [these are the measures of both angles]

Therefore: m<VXZ = 56°

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!