∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( x + 15 ) ∘ ∠A=(x+15) ∘ and m ∠ B = ( x − 13 ) ∘ ∠B=(x−13) ∘ , then find the measure of ∠ B ∠B.

∠B = 76°

Step-by-step explanation:

Supplementary angles add up to 180 degrees, so we know that angles A and B add up to 180.

We can set up an equation and solve for x:

(x + 15) + (x - 13) = 180

Add like terms:

2x + 2 = 180

2x = 178

x = 89

Now, we can plug in 89 as x to find the measure of angle B:

x - 13

89 - 13

= 76

= 76°

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.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: