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prohojiy [21]
3 years ago
6

max lost 23 pounds while on a diet. he now weighs 184 pounds. write and solve an equation to find his initial weigh w

Mathematics
1 answer:
valina [46]3 years ago
6 0

184+23=w

His initial weight is 207 pounds

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Calculate how many different sequences can be formed that use the letters of the given word. Leave your answer as a product of t
sdas [7]

Answer: E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

Step-by-step explanation:

According to the combinations: Number of ways to choose r things out of n things = C(n,r)

Given word: "georgianna"

It is a sequence of 10 letters with 2 a's , 2 g's , 2 n's , and one of each e, o,r, i.

If we think 10 blank spaces, then in a sequence we need 2 spaces for each of g.

Number of ways = C(10,2)

Similarly,

1 space for 'e' → C(8,1)

1 space for 'o' → C(7,1)

1 space for 'r' → C(6,1)

1 space for 'i' → C(5,1)

1 space for 'a' → C(4,2)

1 space for 'n' → C(2,2)

Required number of different sequences  = C(10,2) ×C(8,1)× C(7,1)× C(6,1)×C(5,1)×C(2,2).

Hence, the correct option is E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

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3 years ago
Triangle A'B'C' is the image of triangle ABC under a rotation about point Q.<br><br>​
yan [13]

9514 1404 393

Answer:

  True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.

_____

<em>Additional comment</em>

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

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3 years ago
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LenKa [72]

Answer:- B. No, because the corresponding congruent angles listed are not the included angles.


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Now, look at the attachment

We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .

⇒ B is the right option.

SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.

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S_A_V [24]
There is 28 coins total
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I just need help with number 25. Show work please
PSYCHO15rus [73]
97.8-63.65

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