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tangare [24]
3 years ago
9

Find the range of possible measures of x if each set of expressions represents measures of the sides of a triangle.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

  • C. x > 3/2

Step-by-step explanation:

<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>

  • x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
  • 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
  • x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2

<u>Common solution of the three inequalities above is:</u>

  • x > 3/2

Correct choice is C

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MArishka [77]

3×(2+6)+4×5 is/= 44,

3×2+3×6+4×5=44

5×4+3×(6+2)=44

(6+2)×3+4×5=44

3×2+(6+4)×5= 56

So your answers are A, B, and C.

Step-by-step explanation:

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Iteru [2.4K]

Step-by-step explanation:

Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC

To prove = ∠3= 49°

Solution:

In figure, m∥n cut by traversal t.

So,  ∠DEF = ∠ABC(alternative exterior angles)

∠1 + ∠2 = ∠4 + ∠5

∠ABC = ∠1 + ∠2 = 50° + 48° = 98°

Also given that s bisect angles ∠ABC.

∠4 = ∠5

∠ABC = ∠4 + ∠5 = 98°

∠4 + ∠4 = 98°

2∠4 = 98°

∠4 = 49°

∠4= ∠3 = 49° (vertically opposite angles)

∠3 = 49° ,hence proved

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3 years ago
Find the slope of the line that passes through (6, 1) and (8, 2)
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Answer:

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Una compañía encuentra que su utilidad esta dada por R=2pe^-0.1p cuando au producto esta cotizado en p dolares por unidad. Encue
e-lub [12.9K]

Answer:

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Step-by-step explanation:

Given that, profit is quoted using the function :

R = 2pe ^ -0.1p

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When price 'p' = $5

R = 2(5)e^(-0.1*5)

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B)

When price 'p' = $10

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When price 'p' = $15

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