A tributary joins a river at an angle. Find the value of x.
WhAt this is- just- uGh

x = 53

Step-by-step explanation:

I'm going to assume that this is just a real-life scenario of two lines intersecting to create two adjacent angles that are also a linear pair. So, the following equation can be set up to solve for x.

x + 2x + 21 = 180

3x + 21 = 180

3x = 159

x = 53

Time to check.

53 + 2(53) + 21 = 180

53 + 106 + 21 = 180 It works!

x = 53º

Step-by-step explanation:

The two angles form a supplementary angle, telling us that the sum of the two equal 180º, allowing us to form one side of the equation.

2x + 21 + x = 180

+x

3x + 21 = 180

     -21     -21

3x = 159

159/3 = 53

x = 53º

(also I know it doesn't say you have to find the value of each angle but just in case lol)

Now that we have x, the first angle equals 53º. Just plug in 53 to the other side

2(53) + 21

106 + 21 = 127

just to check, 127 + 53 = 180

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.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3