X - y + x + y = 180

2x = 180

x = 90

2x - 2y = x + y

x = 3y

y = x/3

y = 90/3

y = 30

x - y = 90 - 30 = 60

x + y = 90 + 30 = 120

2x - 2y = 180 - 60 = 120

9514 1404 393

**Answer:**

z = (xy)/(x+y)

**Step-by-step explanation:**

Taking logarithms base 10, we have ...

x·log(2) = y·log(5) = z·log(10)

z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

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Then z/x = log(2), and z/y = log(5), so ...

z/x +z/y = log(2) +log(5) = log(2·5) = 1

z = 1/(1/x +1/y) = 1/((x+y)/(xy))

** z = (xy)/(x+y)**

Answer: I think the answer is B. 3.

Step-by-step explanation:

**Answer:**

13.34

**Step-by-step explanation:**

The distance between two points is given by

d =sqrt( (x2-x1)^2 + (y2-y1)^2)

= sqrt((6-3)^2 + (9--4)^2)

= sqrt(( 3^2 + (9+4)^2)

= sqrt( 9 + 13^2)

= sqrt( 9+169)

= sqrt(178)

=13.34166406

To the nearest hundredth

13.34

**Answer:**

The area of the larger is 36 units^2

**Step-by-step explanation:**

The scale factor is 6/3 = 2

When we work with areas, it is scale factor squared

scale factor ^2 = area of larger / area of smaller

2^2 = area of larger / 9

4 =area of larger / 9

Multiply each side by 9

4*9 = 36

The area of the larger is 36 units^2