Two vertices of a rectangle are (8, −5) and (8, 7). if the area of the rectangle is 72 square units, name the possible location of the other two vertices.

The coordinates of the other two points are:

(2,7)

(2, -5)

Step-by-step explanation:

So we already have a value:

* "u" means "Square units"

Once we draw the coordinates on the map, we can find that the length of the like drawn is equal to 12u (see attachment)

With this values we can now substitute tem on the area formula:

area = Base x Length

72u = Base x 12u

Since 12u are being multiplied by the base, we can pass it to the left dividing the number 72u:

And then we can solve the area formula:

Now that we know the area, we can calculate the base and draw an horizontal line from any of the points marked on the drawing to know one of the opposite sides of the rectangle.

Let me know if you have any questions :D

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94