1. a triangle has the base of 5/3x and the height of x
how do i work this equation

                    Area  = 5/6 * x^2

Step-by-step explanation:

If you are given the base and height of a certain triangle, you will most likely be asked to find the area

The area of any triangle can be found by

Area  = base*height * (1/2)

In your case

Area = (5/3)*x*x* (1/2) = 5/6 * x^2

In your case, x should be a known parameter of your triangle, so if you have the value of the height, you should be able to find the area. Or conversely, if you have the area, you can find the length and height of your triangle.

answer: 193

explanation:

200-7 = 193

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true