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3 years ago

Point B is on line segment AC. Given AB = 4x – 6, AC = 2x + 10, and

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

Answer:

AC=22

Step-by-step explanation:

If point B in somewhere along a segment between the points A and C, then it means that AB + BC = AC.

A---------------------------------C

A------------B-------------------C

AB + BC = AC

This means that we can write an equation:

4x-6(AB) + 4(BC) = 2x+10 (AC)

Which we can now solve for x:

(4x-6)+4=2x+10

Take out of brackets:

4x-6+4=2x+10

Combine like terms:

4x-2=2x+10

Move x terms to one side and other terms to the other:

4x-2x=10+2

Combine:

2x=12

Solve:

x=6

Now we can just substitute the x into the original AC equation to find its numerical length:

AC=2x+10

AC=2(6)+10

AC=12+10

AC=22

Hope this helped!

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3 years ago

Could y’all help me out with this?

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Answer:

M' (5,-1)

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Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

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Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

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So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

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3 years ago

If angle DAB measures 34 degrees, what is the measure of arc DB

ollegr [7]

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3 years ago

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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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3 years ago

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