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2 years ago

5,391 divided 77 estimate

Mathematics

1 answer:

neonofarm [45]2 years ago

6 0

5,391 divided 77 = 70.01...........

by estimation

70

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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

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

In other words, $\frac{16}{10}= \frac{24}{15}$

4 0

3 years ago

Read 2 more answers

How do u write 5,823 in scientific notation

Alex73 [517]

5.823 x 103 i hope it right ???

4 0

3 years ago

Read 2 more answers

If tile costs $8.50 per square foot, how much does it cost per inch?

Sphinxa [80]

Answer:

$0.06 per square inch

Step-by-step explanation:

The question should be:

"If tile costs $8.50 per square foot, how much does it cost per square inch?"

To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".

We know 1 feet = 12 inches

Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.

Thus, we will have:

$\frac{8.5}{12*12}$

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

$\frac{8.5}{12*12}=0.06$

So, tile costs $0.06 per square inch

6 0

3 years ago

I rlly need help--plzzzzzzzzzzzzzzzzz 10 points

Harman [31]

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

6 0

2 years ago

PLEASE HELP ME 2x+45=90

arsen [322]

Answer:

x = 45/2 = 22.5 cm

Step-by-step explanation:

2x + 45 = 90

2x = 90- 45= 45

2x = 45

x = 45/2 = 22.5 cm

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

8 0

3 years ago