Right triangle abc is on a coordinate plane. segment ab is on the line y = 2 and is 5 units long. point c is on line x = -2. what is the value of point c if the area of triangle abc is 12.5 units squared?
a-5
b-6
c-7
d-8

The Option C shows the y-coordinate of the Point C: 7

The Point C is (-2,7)

Step-by-step explanation:

The area of a triangle can be calculated with this formula:

Where "b" is the base and "h" is the height.

We know that the segment AB, of 5 units long, is on the line , which is a horizontal line.

The point C is on the line , which is vertical.

Then we can say that:

Substituting the area and the lenght of the base into the formula and solving for "h", we get:

Then, the height (or the segment BC) of the triangle (Observe the figure attached) is 5 units long.

Therefore, the point C is: (-2,7)

And the y-coordinate of the point C is: 7

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.