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Nadusha1986 [10]
3 years ago
12

State sales tax went from 5% to 5.5%. Calculate the absolute increase and the relative increase in sales tax.

Mathematics
1 answer:
valina [46]3 years ago
3 0
Both are correct because .5 is ten percent of 5. And the increase is only a half of a percentage point.
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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
What is the distance between -10 and six on a number line
Mkey [24]

Answer:

10+6=16

Step-by-step explanation:

3 0
2 years ago
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A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What i
vichka [17]

Answer:

8 units

Step-by-step explanation:

<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length

Substitute in all the known numbers into this formula to get

<u>72</u> = <em>(9)</em> × (2x+4)

Solve the equation for x, to find out the length

9(2x+4)=72

2x+4=72/9

2x+4=8

2x=8-4

2x=4

x=4/2

x=2

Length of the rectangle = (2x+4)

2(2)+4

4+4=8

5 0
2 years ago
This is the image yall were asking for
Lubov Fominskaja [6]

Answer:

angle b+54 = 90 degrees

90 - 54 = b

36° = angle b

5 0
2 years ago
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this weekend you're going to go kayaking down the Colorado River. the rental shop charges $13.00 to rent a kayak with paddles pl
SCORPION-xisa [38]
You would owe the rental shop 54 dollars 

13.00 x 5.00 = 18.00

since it is per hour you multiply 18.00 x 3

3 stands for the hours you kayaked 

and that gives you 54 

therefore your answer is 54<span />
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3 years ago
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