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Sidana [21]
3 years ago
7

4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C.

Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true
Mathematics
1 answer:
never [62]3 years ago
4 0
The other line extends slightly down and to the right to point E
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A standard deck of cards contains 52 cards. The cards have 4 different suits: clubs, diamonds, hearts, and spades. For each suit
Taya2010 [7]

Answer:

a. 108336, b. 480200

Step-by-step explanation:

a. No. of ace cards = 4

No. of non ace cards= 48

We draw 5 cards

So,

No. of ways of 2 aces = C(4,2) C(48,3)

No. of ways of 3 aces = C(4,3) C(48,2)

No. of ways of 4 aces = C(4,4) C(48,1)

Hence

No. of ways of 2 or more aces

= C(4,2) + C(48,3) + C(48,3) + C(4,3)C(48,2) +C(4,4)C(48,1)

= 6(17296) + 4(1128) + (48)

= 108336

b. No of ways any 5 cards can be chosen = C(52,5)

No. of ways kings of diamonds or queen of hearts is chosen = C(50,5)

Hence

No. of ways of choosing king of diamonds, queen of hearts or both = C(52,5) – C(50,5)

= 480200

4 0
2 years ago
Sue’s height is 3 inches less than Ed’s height. Ed is 56 inches tall. How tall is Sue? Write an equation to represent the situat
belka [17]

Answer:

S = E - 3

Sue is 53 inches tall.

Step-by-step explanation:

Let Sue's age be represented by S and Ed's by E

Equation:

S = E - 3

E = 56 inches

S = 56 - 3 = 53 inches

5 0
3 years ago
In the diagram, m angle SUR =32 degrees. Find mRS and m angle STR.
igomit [66]

Because SUR=32, then RS must be 32 and because STR=64. You could also tell this because the shape in the circle is not perfectly symmetrical

3 0
3 years ago
you decided to take a three day road trip and rented a car. it costs $117 per day. this price includes 200 miles. if you drive o
Luden [163]

Since the car costs $117 a day and you are going on a three day road trip, then you would do 117 x 3 = 351.

Subtract 351 from the total cost 373 - 351 = 22

To find out how many additional miles you drove, 22/0.22 = 100

So you drove 100 additional miles.

8 0
3 years ago
Anyone know quadratics
VMariaS [17]
When competing the square, you want to have
{b}^{2}
at the end, and using the fact that the x term and coefficient are really
2bx
, we see that the third option is the most efficient way to start
3 0
3 years ago
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