Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He knows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?

(6 , 29/8)

Step-by-step explanation:

Let divide the segment into 8 equal parts (since 3 (CE) + 5(ED) = 8)

(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit

(3 - 4) / 8 = -1/8. So each y-segment shall be -1/8 unit.

CE will represent 3/8 of the relative line.

Ex = 3 + 1 * 3 = 3 + 3 = 6

Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8

(6 , 29/8) is the final answer  

3/8

Step-by-step explanation:

I took the test !!

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.

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: