Please help with math homework!

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

To do this, you need to use the Thales theorem.

You can actually apply this theorem and choose two sides of the figure to do it.

In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:

LM/MN = DE/EF

This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN

Therefore, it's time to replace the values of those segments and solve for X:

LM/MN = DE/EF

14/16 = 6x -9 / 4x + 4

7/8 = 6x - 9 / 4x + 4

7(4x+4) = 8(6x-9)

28x + 28 = 48x - 72

72 + 28 = 48x - 28x

100 = 20x

x = 100/20

x = 5

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If you could show the steps that would be great

zvonat [6]

Answer:

24x + 8

Step-by-step explanation:

4 + 16 - 12(1 + 2x)

Solve

Show steps

__________________

We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.

Distribute :

4 + 16 - 12(1 + 2x)

4 + 16 - (12(1) + 12(2x))

4 + 16 - 12 + 24x

Use PEMDAS (Add left to right) :

4 + 16 - 12 + 24x

20 - 12 + 24x

8 + 24x

24x + 8

4 0

3 years ago

Read 2 more answers

What is the slope of the line through (-9, 6) and (-3, 9)? Choose 1 answer:

trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values