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Nana76 [90]
3 years ago
13

Figure JKLM is similar to figure PQRS.

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

the answer is D

Step-by-step explanation:

i found it in quizzes and Quizlet

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
At a certain restaurant 8 Delmonico steaks cost 218$. Three tacos and 12 Delmonico steaks cost 267$. Write a system of equations
Leto [7]
There is 600 Dollars

4 0
4 years ago
In a certain field, the ratio of pigs to sheep is 8/3 . If there are 165 pigs and sheep altogether in a field, how many sheep ar
iragen [17]
There are 8 pigs to every 3 sheep

8 pigs +3 sheep is 11 ÷165 is 15

15×8 is 120

15×3 is 45

so there was 45 sheep

3 0
4 years ago
Read 2 more answers
A brand new video game system sells for $340. If the sales tax is 6.98%, how much will the new video game
tiny-mole [99]
$363.73
The sales tax is $23.73

Steps:
Sales tax is calculated by multiplying the purchase price by the sales tax rate to get the amount of sales tax due. The sales tax added to the original purchase price produces the total cost of the purchase.

So 340 • 6.89%
340• .0698= 23.732
If it’s a percentage you move the decimal two places to the left
340 + 23.73 = 363.73


Hope this helps
6 0
3 years ago
Please helpp again im doing the map test so pls ya'll
WITCHER [35]

Answer:

dam i would help u but i cant see that sorry :(

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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