Please find the radius of the inscribed circle in LMN

radius=11

Step-by-step explanation:

PQ=PS=PR for an inscribed circle. This is the radius.

PQ=-2y+15

PS=3y+5

since PS=PQ then 3y+5=-2y+15

reducing:

3y+2y+5=-2y+2y+15

5y+5=15

5y+5-5=15-5

5y=10

5y/5=10/5

y=2

substituting for y

PS=3y+5

PS=3(2)+5

PS=11

55/i dont know i do it for the points

step-by-step explanation:

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.