What is the answer to 7(2x)-3=24x+9

Mathematics

1 answer:

masha68 [24]2 years ago

3 0

Answer:

x= -6/5

Step-by-step explanation:

First, you get rid of parentheses.

Next, you multiply

After that, you add 3 to both sides of the problem

Then you simplify

Subtract 24x from both sides of the equation

Simplify

Divide both sides of the problem by the same term

Simplify

I hope this helped.

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Point N lies on the side AB in △ABC. Points K and M are midpoints of segments

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Answer:

CN = 7

Step-by-step explanation:

In the attached figure, we have drawn line CD parallel to AB with D a point on line MK. We know ΔMNT ~ ΔDCT by AA similarity, and because of the given angle congruence, both are isosceles with CD = CT. Likewise, we know ΔCDK is congruent to ΔBMK by AAS congruence, since BK = CK (given).

Then CD = BM (CPCTC). Drawing line NE creates isosceles ΔNEC ~ ΔTDC and makes CE = AB. Because ΔNEC is isosceles, CN = CE = AB = 7.

The length of segment CN is 7.

_____

If you assume CN is constant, regardless of the location of point N (which it is), then you can locate point N at B. That also collocates points T and K and makes ΔBMK both isosceles and similar to ΔBAC. Then CN=AB=7.