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Georgia [21]
4 years ago
15

Can i get the answer ASAP

Mathematics
1 answer:
snow_tiger [21]4 years ago
4 0

Answer:

Step-by-step explanation:

If two triangles are similar, the ratio of the area of the triangles is proportional to the squares of its corresponding sides.

area of ΔJKL/area of ΔLMN = (JK)²/(NM)²

\frac{392}{8}=\frac{(35)^{2}}{(NM)^{2}}\\\\49=\frac{(35)^{2}}{(NM)^{2}}\\

Cross multiply,

49*(NM)²= 1225

(NM)^{2}=\frac{1225}{49}\\\\(NM)^{2}=25\\\\NM=\sqrt{25}\\\\

NM = 5 cm

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A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
Black_prince [1.1K]

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

7 0
3 years ago
The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent
Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

m + n = -15

If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

n = m-5

To find the value for each number, we can replace the n equation on the first equation:

m + n = -15

m + (m-5)= -15

Then:

m + m - 5 = -15

2m -5 = -15

Solve the equation for m:

Add both sides 5 units:

2m - 5 +5 = -15+5

2m = -10

Divide both sides by 2:

2m/2 = -10/2

m = -5

Finally, replace the m value on the first equation:

m + n = -15

-5 + n = -15

Then, solve the equation for n:

Add both sides by 5:

-5+5 + n = -15 +5

n = -10

Hence, both numbers are m=-5 and n= -10.

The equations separated by a comma are m + n = -15,n = m-5.

The numbers separated by a comma are -5,-10.

6 0
1 year ago
Which expression is equivalent to (7 – 3k) – (4 – 5k) – (6 – 2k)?
gladu [14]

Answer:

The right response is "3(k-1)". A further solution is given below.

Step-by-step explanation:

The given expression is:

⇒ (7 -3k) - (4 - 5k) - (6 - 2k)

On solving the above expression, we get

⇒ 7-3k-4+5k-6+2k

⇒ 7-3k-10+7k

⇒ 3k-3

On taking "3" as common, we get

⇒ 3(k -1 )

3 0
3 years ago
The figure shows the dimensions of the side of a house. Find the area of the side of the house.
vladimir1956 [14]

Answer:

Answer is 75cm squared.

Step-by-step explanation:

10x15 = 150

divide by 2

final answer is 75.

6 0
3 years ago
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Answer:

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