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MakcuM [25]
3 years ago
7

Quadrilateral ABCD is a parallelogram. If AB=2x-10 and CD=x+30,then AB=_​

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer: 70

Step-by-step explanation:

Because opposite sides of a parallelogram are equal, AB=CD. So,

2x-10=x+30

x=40

Therefore, AB=2(40)-10=70

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Maya has $210 in a savings account for a new computer the computer cost $537.15 including sales tax. At the end of each week she
alisha [4.7K]

The number of weeks required to have enough money in account to buy computer is 12

<em><u>Solution:</u></em>

Given that Maya has $210 in a savings account for a new computer the computer cost $537.15 including sales tax

At the end of each week she deposits $27 into the account

<em><u>To find: number of weeks required to have enough money in the account for the computer</u></em>

Total cost of computer = $ 537.15

Amount in savings account = $ 210

Let "a" be the number of weeks required to have enough money in account to buy computer

Each week she deposits $27 into the account

<em><u>So we can we frame a equation as:</u></em>

total cost of computer = Amount in savings account + (number of weeks x 27)

537.15 = 210 + a \times 27\\\\537.15-210 = 27a\\\\27a = 327.15\\\\a = 12.11

a \approx 12

Thus number of weeks required is 12 approximately

3 0
3 years ago
The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet
nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

f(x)=3(x-2)+4

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval [a,b] is given as :

\frac{f(b)-f(a)}{b-a}

For the given function we need to find the average rate of change between 2nd year and 6th year. [2,6]

So, we have:

f(2)=3(2-2)+4=3(0)+4=4

f(6)=3(6-2)+4=3(4)+4=12+4=16

Thus, average rate of change will be:

\frac{f(6)-f(2)}{6-2}

⇒ \frac{16-4}{6-2}

⇒ \frac{12}{4}

⇒ 3

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0
3 years ago
The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor
poizon [28]
48/4 = 12 for sides. Area is l x w so 12x12 = 144
4 0
3 years ago
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4х + 3у = — 2<br> Зу = 4 -x<br> х =?<br> у =?
zlopas [31]

Answer: x=-2, y=2

Step-by-step explanation:

(SUBSTITUTION)

= 4x+4-x=2

x=-2

3y=4 x (-2)

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3 0
3 years ago
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Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!
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Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

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