Astudent wants to find point c on the directed line segment from a to b on a number line such that the segment is partitioned in a ratio of 3: 4. point a is at -6 and point b is at 2. the student's work is shown .

The point C directed line segment from A to B is -18/7.

Given that,

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Point A is at -6 and point B is at 2.

We have to determine,

The point C on the directed line segment from A to B.

According to the question,

Let, the distance AC be x,

And BC = 8 - x

The ratio of AC : BC = 3 : 4

Therefore,

Solving the equation by cross multiplication,

Then,

Point C directed line segment from A to B is,

Hence, The point C directed line segment from A to B is -18/7.

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Point C at (-18/7)

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

step-by-step explanation: