A square has an area of 9ft^2 what is the length,in feet of each of the square sides

Mathematics

1 answer:

Anna007 [38]2 years ago

5 0

Answer:

Step-by-step explanation:

Each side has to be 3

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Mr. Toney gets his car washed every 15 days. Mr. Brown gets his car washed every 20 days. Today, they are both getting their car

Zinaida [17]

They both get their cars washed on every 60th day.

You can solve this equation by finding the lcm (least common multiple):

15 30 45 60 75 90 105

20 40 60 80 100

The lowest common multiple is 60 as it is the first multiple the two have in common.

So, in sixty days, they’ll both get their car washed again

6 0

1 year 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

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