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Dafna11 [192]
2 years ago
7

triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquali

ty

Mathematics
2 answers:
drek231 [11]2 years ago
6 0

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw

Blababa [14]2 years ago
5 0

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

  • a+b > c   ⇒   3n+3 > 3n-2 . . . always true
  • b+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2
  • c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

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vfiekz [6]
In seven years her mother will be 38 +7 = 45 years old.

She will be 5 times as old, so divide 45 by 5: 45/5 = 9. Elaine will be 9 years old then, so she is 9-7 = 2 years old now.
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3 years ago
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tiny-mole [99]

Answer:

3. Definition of Midpoint

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8 0
2 years ago
Camille collects stickers. Her sticker book holds 5 stickers in each row. When a page is full, it holds 65 stickers. How many ro
bezimeni [28]
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5 0
3 years ago
Read 2 more answers
Find the area below
Katyanochek1 [597]

Answer:

A = 693

Step-by-step explanation:

The shape presented is a parallelogram, and the formula for this is:

A = bh

The "b," is the base (21) and the "h," is the height (33), so plug this in:

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6 0
3 years ago
I need help SOMEONE PLZ HELP ME OUT WITH THIS !! THANK UU
Mama L [17]

Answer:

since they are alternate exteriors, we put a equal sign

2x+78=5x+15

next we subtract 78 on both sides

2x+78-78=5x+15-78

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then we subtract 5x on both sides

2x-5x=5x-5x-63

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-3x/-3=-63/-3

and the answer is

x=21

Step-by-step explanation:

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