Find the shaded area between line 1, line 2, and the x-axis. for the nearst integer.

Area of the Shaded Region = 6

Step-by-step explanation:

Line 1 is passing through the points (0,0) and (5,5), now we know any line passing through the origin (0,0) will have the equation y = x---------(1)

Line 2 lies on the coordinates (0,3) and (6,0) hence in order to find the equation of line 2 we will use the following formula:

(y- y1) = m (x - x1) (here m is the gradient of the line)

m = 0-3/6-0

m = -3/6

m  = -1/2

(y - 3) = (-1/2)(x - 0)

y - 3 -1/2 x

y = -1/2x -3-----------(2)

now substituting equation (1) in equation (2) we get

y = -1/2y -3

3/2 y = 3

y = 2; x = 2

Hence the intersecting point of the above line is (2,2)

Area of the shaded region = 1/2 * base * height

                                              = 6

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.