Which value of x satisfies the inequality below? 1 3/7 < x

A: x= 1 1/4
B: x=1 2/7
c: x= 1 1/2
d: x= 1 1/3​

1. x = 10

2. B.  3/7

Step-by-step explanation:

1. (x - 2)/ 4 - (3x + 5)/7 = - 3

 7(x -2) -4(3x +5) = -84 . . . . . . . multiply by 28

 7x -14 -12x -20 = -84 . . . . . . . . eliminate parentheses

 -5x -34 = -84 . . . . . . . . . . . . . . collect terms

 -5x = -50 . . . . . . . . add 34

 x = 10 . . . . . . . . . . . divide by -5

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2. 1/(1 + 1/(1 - 1/x)) = 4

 1 = 4(1 +1/(1 -1/x)) . . . . multiply by the denominator

 -3 = 4/(1 -1/x) . . . . . . . eliminate outer parentheses, subtract 4

 -3(1 -1/x) = 4 . . . . . . . multiply by the denominator

 -3 +3/x = 4 . . . . . . . . eliminate parentheses

 3/x = 7 . . . . . . . . . . . add 3

 x = 3/7 . . . . . . . . . . . multiply by x/7

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²