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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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Liula [17]

Why did the narrator use the phrase “fit together like puzzlec pieces” to describe how the cells of a developing human embryo form a human face            

7 0
3 years ago
PLEASE HELP ITS EASY
Olegator [25]

Answer:

A: Yes - corresponding angles and sides

Step-by-step explanation:

The first quadrilateral is just a bigger version of the second quadrilateral, they are just different in size, they're angles and sides are the same

3 0
3 years ago
Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
kogti [31]

Answer:

24.2(to the nearest tenth)

Step-by-step explanation:

The question is ungrouped data type

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

x-μ   for data 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84 will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

(x-μ)² will be 800.89, 800.89,745.29,453.69,53.29,13.69,246.49,313.29,515.29,515.29,2570.49

∑ (x-μ)² will be = 7028.59

standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
4 years ago
Find the x-intercept and the<br> y-intercept from the following linear equation:<br> 9x+3y=27
laiz [17]
X-intercept is 4 and yintecept is9
7 0
3 years ago
X+3y=24<br><br> Please solve super fast
adoni [48]

Step-by-step explanation:

x+3y=24

3y/3=24/3

x+y=8

divide x to both side not to y

y=-x +8

5 0
3 years ago
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