Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. write an inequality to find the the three numbers. let n represents the smallest even number. solve the inequality

90 <  [( n + n + 2 + n + 4) / 2] < 105

90 <  (3n + 6) / 2 < 105

3n + 6 > 180      and       3n + 6 <  210

n > 58     ,     n <  68

58  < n < 68   answer

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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