Find the measure of angle TUV

∠TUV = 120°

Step-by-step explanation:

Since this figure is a kite, we know that; ∠TUV ≈ ∠TWV, so first we solve for x:

9x - 6 = 7x + 22

2x - 6 = 22

2x = 28

x = 14

Now, substitute 14 in for x, in the equation for ∠TUV:

∠TUV = 9x - 6

∠TUV = 9(14) - 6

∠TUV = 126 - 6

∠TUV = 120°

Hope this helps!

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.