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omeli [17]
4 years ago
7

Can anyone answer this please i need to be for sure I’m right

Mathematics
1 answer:
Genrish500 [490]4 years ago
7 0
The answer to this question is B, (-infinity, -28]. 

We can get this answer by first multiplying each side of the inequality by 7. That would get rid of the fraction. When one does that, the result is d + 28 \leq 0. That means that d \leq -28. In interval notation, which is the notation the problem is asking us, that would be (-infinity, -28], since d is all values less than -28 this includes infinity, but it also includes -28, so there is a ] around it. That means that the answer to this question is B, (-infinity, -28]. 
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3 0
3 years ago
Point N lies on the side AB in △ABC. Points K and M are midpoints of segments
Luden [163]

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.

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