Segment DG has endpoints D(-7,-4) and G(8,1). Find the coordinates of J such that the ratio of DJ:JG is 2:3

Given:

DG has endpoints D(-7,-4) and G(8,1).

DJ:JG = 2:3

To find:

The coordinates of J.

Solution:

We have,

DJ:JG = 2:3

It means, point J divides the segment DG is 2:3.

Section formula: If a point divides a lines segment with end point and in m:n, then coordinates of point are

Using section formula, the coordinate of J are

Therefore, the coordinates of J are (-1,-2).

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

do your own work and don"t cheat.

step-by-step explanation: