Whatare three integers that do not have the same sign that have a sum of -20

Mathematics

1 answer:

fomenos2 years ago

6 0

Answer:

Write two integers with opposite signs, say 2 and -10. When we add them, we obtain -8. To have a sum of -20, the third integer must be -12 so the three possible integers are:

2,-10,-12

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Maria solved the equation -5 1/8n = -9 3/4 . Her answer was n = 1 37/41 . She is fairly confident about her answer, but wants to

aleksandr82 [10.1K]

-5 1/8 would round to -5
-9 3/4 would round to -10
1 37/41 would round to 2

-5(2)=-10

Hope this helped :)

7 0

3 years ago

Read 2 more answers

S KM ∥ JN? Why or why not?

bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because $\frac{16}{10}= \frac{24}{15}$

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

$LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\$

which is true as both sides simplify to $\frac{8}{13}$

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

$\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}$