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2 years ago

Can someone please answer this for me ? thanks

Mathematics

2 answers:

Leokris [45]2 years ago

7 0

Answer:

x=-4.5

Step-by-step explanation:

In the given triangle, Two sides are divided into equal part.

It means D and E is mid point of AB and AC.

Mid-point theorem: The line joining the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.

In the given figure, (Attachment)

DE = 3x+4

BC = 4x-1

$DE=\dfrac{1}{2}BC$ [mid-point theorem]

$3x+4=\dfrac{1}{2}(4x-1)$

$2(3x+4)=4x-1$

$6x+8=4x-1$

$6x-4x=-9$

$2x=-9$

$x=-4.5$

Hence, The value of x is -4.5

Sonja [21]2 years ago

5 0

3x +4 is 7x and 4x- 1 is 3x because yhat how you solve that

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Step-by-step explanation:

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I would set up something like

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3 years ago

3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q

garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

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Q(x)=(mx₂+nx₁)/(m+n)

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Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

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Q(y)=(50+6)/2

Q(y)=56/2

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Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

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