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Sedbober [7]
3 years ago
14

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of tria

ngle LPQ is 16 cm work out area of LQM

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer: 48cm^2

Step-by-step explanation:

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of triangle LPQ is 16 cm work out area of LQM

Kindly see attached picture for detailed explanation

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Step-by-step explanation:

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2 years ago
X + 2x + 7 = 3x - 7<br> How do you solve this?
Stella [2.4K]

Answer and explanation:

<em>To solve this, you must find what x equals</em>

x + 2x + 7 = 3x - 7 <em>Add together any numbers that can be added on their side</em>

3x + 7 = 3x - 7  <em>Then subtract 7 from both sides to get 3x alone</em>

3x = 3x - 14 <em> Then subtract 3x from both sides to get x</em>

<h3><em>*The x's cancel each other out so you must have typed the equation wrong. Please check to see any mistakes you may have made*</em></h3>
7 0
3 years ago
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Find x in this 45°-45°-90° triangle.<br><br> x =
Leokris [45]

Answer:

<u>x = 1.2√2</u>

Step-by-step explanation:

Taking the cosine value of the angle :

  • cos 45° = 1.2/x
  • 1/√2 = 1.2/x
  • <u>x = 1.2√2</u>
4 0
2 years ago
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Which percent is equivalent to One-half?<br> 1%<br> 2%<br> 25%<br> 50%
cupoosta [38]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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
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