Emily draws point C on the line segment so that the ratio of AC to CB is 3 to 1. What are the coordinates of Point C? a. (-2,2.5)

b.(-1,2)

c.(3,0)

d.(4,-0.5)

d.(4,-0.5)

Step-by-step explanation:

We are given that the ratio of AC to CB

AC:CB=3:1

From given figure

The coordinates of A are (-5,4)

The coordinates of B are (7,-2)

We have to find the coordinates of C

Section formula:

Using the formula

The coordinate of point C are

Hence, the coordinate of point C are (4,-0.5)

Option d is true.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.