Examine the paragraph proof. which theorem does it offer proof for?

lines wz and xy intersect at point v

prove: ∠xvz ≅ ∠wvy

we are given an image of line wz and line xy, which intersect at point v. m∠xvz + m∠zvy = 180° by the definition of supplementary angles. m∠zvy + m∠wvy = 180° by the definition of supplementary angles. since the sum of m∠xvz + m∠zvy = m∠zvy + m∠wvy by the transitive property of equality, m∠zvy can be subtracted from both sides of the equation because of the subtraction property of equality. therefore, m∠xvz = m∠wvy and ∠xvz ≅ ∠wvy by the definition of congruent angles.

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕

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.

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy