Step-by-step explanation:
A) opposite sides in a rectangle is always equal
B) 9x+12 = 4x +47
Transpose = 9x - 4x = 47 - 12
solve = 5x = 35
Divide both sides by 5
x = 7
Answer:
x <7
Step-by-step explanation:
3x – 4 < 17
Add 4 to each side
3x – 4+4 < 17+4
3x < 21
Divide each side by 3
3x/3 < 21/3
x <7
Answer:
(2*100,000)+(7*10,000)+(9*100)+(5*10)
The answer: <span>13.634
Don't believe me? Check with a(n) calculator!</span>
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
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