We start with triangle abc and see that angle zab is an exterior angle created by the extension of side ac. angles zab and cab are a linear pair by definition. we know that m∠zab + m∠cab = 180° by the . we also know m∠cab + m∠acb + m∠cba = 180° because . using substitution, we have m∠zab + m∠cab = m∠cab + m∠acb + m∠cba. therefore, we conclude m∠zab = m∠acb + m∠cba using the .

Linear Pair postulate; triangle angle sum conjecture; subtraction property of equality.

Step-by-step explanation:

The Linear Pair postulate states that if two angles form a linear pair, then the sum of their measures is 180°.  This is the reason for the first statement.

The Triangle Angle Sum conjecture states that the sum of the measures of the angles of a triangle is 180°.  This is the reason for the second statement.

In order to isolate m∠ZAB, we must subtract m∠CAB from each side.  The subtraction property of equality is what allows us to do this.

after simplifying it i got: -36.25 as my answer. hope that !

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.