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.
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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.
X=2y-6
Let's solve for y.
<span>x=<span><span>2y</span>−6
</span></span>Step 1: Flip the equation.
<span><span><span>2y</span>−6</span>=x
</span>Step 2: Add 6 to both sides.
<span><span><span><span>2y</span>−6</span>+6</span>=<span>x+6
</span></span><span><span>2y</span>=<span>x+6
</span></span>Step 3: Divide both sides by 2.
<span><span><span>2y/</span>2</span>=<span><span>x+6/</span>2
</span></span><span>y=<span><span><span>12</span>x</span>+3
</span></span>Answer: y=12x+3
Answer:
x = -8
Step-by-step explanation:
1/4x+2=-5/8x-5
Add 5/8 x to each side
1/4x + 5/8 x+2=-5/8x + 5/8x-5
1/4x + 5/8x +2 = -5
Subtract 2 from each side
1/4x + 5/8x +2-2 = -5-2
1/4x + 5/8x = -7
Get a common denominator of 8
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7 * 7/8x = -7*8/7
x = -8
The third answer should be right and also edgenuity? lol...
