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statuscvo [17]
3 years ago
11

The perimeter of a rectangle is 40cm. If the length were doubled and the width halved, the perimeter would be increased by 16cm.

Find the dimensions of the original rectangle.
Please use system of linear equations by elimination OR substitution. I need the work as well please.
Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

The dimensions of the original rectangle are Length =12cm, Width=8cm

Step-by-step explanation

Let the length of the rectangle be x

Let the width of the rectangle be y

The perimeter of a rectangle is 40cm.

2(x+y)=40

Divide both sides by 2

x+y=20

If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm

Therefore:

Divide both sides by 2

From the first equation, x=20-y.

Substitute x=20-y into  

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If both pairs of opposite angles of a quadrilateral are __________, then the quadrilateral is a parallelogram.
lara [203]

Answer:

Obtuse

Step-by-step explanation:

Angles of a parallelogram are supplementary to it's adjacent angles . One pair of opposite angles of a parallelogram is obtuse & other pair is acute . Here in the figure , ∠DAB & ∠BCD are obtuse angles and also opposite to each other whereas ∠ADC & ∠ABC are acute angles and are opposite to each other.

5 0
3 years ago
If x=0 and x=3 then 3 divided by 2x to the second power minus 2 divided by x to the second power minus 3x
Afina-wow [57]
Answer: undefined in both cases.


Explanation:

1) Expression to evaluate:

\frac{3}{2x^2} - \frac{2}{x^2-3x}

2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.

3) First case: x = 0

The expression cannot be evaluated at x = 0, because the denominators (both  denominators) equal 0, and the division by 0 is not defined.

So, the answer is undefined.

4) Second case, x = 3

When you replace x = 3 you get:

\frac{3}{2x^2} - \frac{2}{x^2-3x} = \frac{3}{2(3^2)} - \frac{2}{3^2-3(3)} = \frac{3}{18} - \frac{2}{9-9}

Again, this result in a division by 0, so you conclude that it is undefined too.

8 0
3 years ago
Which expression is equivalent to - 1 2/5 + 2 1/3
Ulleksa [173]

Answer:

  • C. 2 1/3 - 1 2/5

Step-by-step explanation:

Let a = - 1 2/5 and b = 2 1/3

<u>We have a + b, lets compare with the options:</u>

  • A) a + (- b) = a - b, no
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6 0
2 years ago
A bird is flying 10 feet above sea level, while a shark swims 15ft below sea level. How far is the bird from the shark?
kondaur [170]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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What is the measure of X! Please help if you know how to do this!
deff fn [24]

Answer:

28°

Step-by-step explanation:

You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.

4 0
3 years ago
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