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3 years ago

In quadrilateral ABCD, AD || BC

Mathematics

1 answer:

Doss [256]3 years ago

7 0

Answer:

31 units

Step-by-step explanation:

I just did it

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What is the area of the rectangle?

DiKsa [7]

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²

4 0

3 years ago

Please help! Please show all work! Thx!

OverLord2011 [107]

Answer:

Part A)

$86=2(x+22)$

Part B)

$l=26\text{ cm}$

Step-by-step explanation:

We know that the rectangle has a length of (x+5) and a width of 12 cm.

Part A)

Remember the formula for the perimeter of a rectangle:

$P=2(l+w)$

We know that the perimeter is 86. Substitute that for P:

$86=2(l+w)$

Substitute (x+5) for the length l and 17 for w. So:

$86=2((x+5)+17)$

We can simplify this to acquire our equation:

$86=2(x+22)$

Part B)

To find the length, let's find our x first. We have the equation:

$86=2(x+22)$

Divide both sides by 2:

$43=x+22$

Now, subtract 22 from both sides. Therefore, our x is:

$x=21$

To find the length, remember that the length is:

$l=x+5$

Since we now know the value of x, substitute 21 for x:

$l=21+5$

Add:

$l=26\text{ cm}$

So, the length is 26 centimeters.

And we're done!

4 0

3 years ago

Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracele

Gwar [14]

Answer:

A. Bracelets take 3 minutes, and necklaces take 8 minutes.

Step-by-step explanation:

If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)

4 0

3 years ago

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А D If m ABC = 250, and mzCBD = 35°, then mZABD = [ ? 104

soldier1979 [14.2K]

35+25 is 60 degrees
YW

5 0

2 years ago

I need help with this 293 ÷ 102 the answers are: 2.93 29.3 293 2,930

Zolol [24]

Answer: 2.93

Step-by-step explanation:

The answer is appx. 2.8725, when rounded up it becomes 2.93.

3 0

3 years ago

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