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Salsk061 [2.6K]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

\sqrt{30}

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ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm
horsena [70]

We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.

Since the area of a trapezium is given by

A=\dfrac{(b+B)h}{2}

If we plug the expressions we have

A=\dfrac{(x+(x+4))\frac{x}{2}}{2}=\dfrac{(2x+4)x}{4}=\dfrac{2x^2+4x}{4}

If this must equal 84, we can solve for x as follows: start with

\dfrac{2x^2+4x}{4}=84

Multiply both sides by 4:

2x^2+4x=336

Subtract 336 from both sides:

2x^2+4x-336=0

We can divide both sides by 2 to make computation simpler:

x^2+2x-168=0

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

x_1=-14,\quad x_2=12

We can't accept the negative solution, because it would imply

AB=-14,\quad CD=-10

and we can't have negative side lengths. So, the answer is 12.

4 0
3 years ago
If anyone is good in Pythagoras theoram please help me
Yanka [14]

Answer:

a^2+B^2=c^2

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
What are the dimensions of this rectangle?
Sholpan [36]

Answer:

F:53cm by 102cm

Step-by-step explanation:

The perimeter of a rectangle can be seen as 2l + 2w, with the length being l, and the width being d. If the ratio is 3:2, then 3+2= 5 parts would be the sum of the length and the width, This is half of the perimeter 2(l+w), so 510÷2 = 255. One part would be 255÷5=51.

If you put it into the ratio, effectively it is:

Length:Width

3×51:2×51

153  :102

Therefore the dimensions are 153cm by 102cm, which is F.

6 0
3 years ago
I will make you Brainliest if you know what fraction is equal to 1.5
Igoryamba

Answer:

3/2

Step-by-step explanation:

There are a lot of fractions that equal 1.5, but if you're asking for the most simplified fraction, 3/2 is the answer.

5 0
3 years ago
Ronaldo and several friends spend $18.15 at the arcade. ronaldo is responsible for 33% of the bill. use a benchmark fraction and
SVEN [57.7K]

Answer:

The estimated amount to be paid by ronaldo is $5.9895

Step-by-step explanation:

total amount spent on arcade = $18.15

percentage bill to be paid by ronaldo= 33%

To calculate the amount to be paid by ronaldo formula for percentage will be used

Formula which will be used is

Amount to be paid = (Percentage of ronaldo x  Total amount spent)/ 100%

Amount to be paid by ronaldo is   =    \frac{33 \times 18.15}{100}

                                                        =   \frac{598.95}{100}

                                                        = 5.9895

So the estimated amount to be paid by ronaldo is $5.9895

Keywords:  Calculation of percentage

Learn more about calculation of percentage at

  • brainly.com/question/4390083
  • brainly.com/question/6073431

#learnwithBrainly

                                                       

8 0
4 years ago
Read 2 more answers
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