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Hunter-Best [27]
3 years ago
7

Ax + b2 = cx + d2 ????

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Answer:

x=b^2+d^2/a-c

Step-by-step explanation:

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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
PLEASE HELP ME ID DONT UNDERSTAND
Anuta_ua [19.1K]

Answer:

1. m= 3/4

b= -7

2. 6x-4y = 20

-4y = -6x+20

y = 3/2x-5

m=3/2

b= -5

3 0
3 years ago
I need help on this answer
bonufazy [111]

Answer:

The answer is B (AKA) 102

Step-by-step explanation:

180-78

one angle is 180 degrees

6 0
3 years ago
Read 2 more answers
In 1983, a microwave oven cost $78.75. Today, a microwave oven costs $92.66. If the CPI is 177, what is the relation of the actu
olchik [2.2K]

<u><em>Answer: The answer is C. $13.91</em></u>

<u><em>Step-by-step explanation:</em></u>

<u><em>The way i got my answer is </em></u>

<u><em>78.75+92.66=171.41</em></u>

<u><em>171.41÷13=13.18</em></u>

<u><em>Round to the nearest cent which 13.91</em></u>

4 0
3 years ago
Read 2 more answers
you bought a 7 notebooks at the school supply store cost $4.76 what is the unit rate explain how you determined your answer use
Contact [7]
You paid $4.76 total for 7 notebooks. To figure out how much each individual notebook cost, you divide the total cost by the number of things you bought, so Cost of One Notebook = Total Cost of Notebooks / Number of Notebooks = $4.76 / 7 = $0.68 This is the unit rate. To buy three notebooks, you just calculate the total cost of three notebooks at this price point, so Cost of Three Notebooks = Cost of One Notebook * 3 Notebo0ks = $0.68 * 3 = $2.04
6 0
3 years ago
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