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Mashutka [201]
3 years ago
8

Rectangle ABCD is congruent to rectangle URST.

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

The area of rectangle URST is 135 mm² ⇒ 3rd answer

Step-by-step explanation:

- Congruent rectangles have same lengths of sides, same measures

 of angles and same areas and same perimeters

- Rectangle ABCD is congruent to rectangle URST

- The length of sides A B is 9 millimeters and the length of sides R S is

  15 millimeters

- We need to find the area of rectangle URST

∵ Rectangle ABCD ≅ rectangle URST

∴ AB = UR , BC = RS , CD = ST , AD = UT

∵ AB = 9 millimeters

∴ UR = 9 millimeters

- The area of any rectangle = l × w, where l, w are its dimensions

- In rectangle URST

∵ UR = 9 millimeters

∵ RS = 15 millimeters

- Assume that UR = l and RS = w

∴ The area of rectangle URST = UR × RS

∴ The area of rectangle URST = 9 × 15 = 135 millimeters²

* <em>The area of rectangle URST is 135 mm²</em>

Dmitrij [34]3 years ago
5 0

Answer:

the answer is C

Step-by-step explanation:

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Dmitry_Shevchenko [17]

Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

12/66300=

6/33150=

3/16575=

1/5525

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3 years ago
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Each person gets 2 step by step explanation
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Sean's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to
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4 0
3 years ago
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3 0
3 years ago
Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

sin150° = sin30° = \frac{1}{2}

Given

z = 4(cos150° + isin150° ) , substitute values

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(- 2\sqrt{3}, 2 ) → B

7 0
3 years ago
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