Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are equal, thus
x - y = x + 2 ( subtract x from both sides )
- y = 2 ( multiply both sides by - 1 )
y = - 2
and
4x + 2y = 2x - y
substitute y = - 2
4x - 4 = 2x + 2 ( subtract 2x from both sides )
2x - 4 = 2 ( add 4 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
This problem can be divided into two parts Part 1 - income up to $10,000 times 10% = $1,000 Part 2 - income over $10,000 = $15,000 - 10,000 = $5,000then, $5,000 times 20% = $1,000 Finally, $1,000 + 1,000 = $2,000
When g(x) = -30, x = -10
To solve, make -30 equal to 2(x-5):
-30 = 2(x-5)
-30 = 2x -10
-20 = 2x
-10 = x
Answer: D 62 inches
Step-by-step explanation: Given area of each tray = 228 in2 inches
So the midpoint formula is
. Using our information, our two equations are going to be
and
.
Starting with the x-coordinate, multiply both sides by 2: 
Next, add both sides by 4 and your answer will be 
Next with the y-coordinate, its going to be pretty much the same process:

Putting everything together, our other endpoint is (4,-15).