Answer: AB is 15
Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:
5x-15+3x-5=28
Add like terms:
8x-20=28
Add 20 to both sides
8x=48
Divide by 8
x=6
Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15
5(6)-15
30-15
AB=15
<span>2x-1=4(x+1)
Given.
This is the expression you were originally given.
2x-1=4x+4
Distributive Property
You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4
2x=4x+5
Addition or Subtraction Property of Equality
You added 1 to both sides of the equation.
â’2x=5
Addition or Subtraction Property of Equality
You subtracted 4x from both sides of the equation.
x=-5/2
Multiplication or Division Property of Equality
You divided both sides by -2.</span>
10 feet.
Equation: a = v1/3 = 1000 1/3 = 10ft.
Answer:
31.5 units²
Step-by-step explanation:
Area = ½*base*height
Height of the triangle on the grid = 9 units
Base = 7 units
Area = ½*9*7
Area = ½*63
Area = 63/2
Area = 31.5 units²
<span>The answer to this question is Step 7.
Step 7 ⇒ −8 + 10 = x
− 10 + 10
This is where 10 is being added to both sides. It is not Step 4 as that uses the Subtraction Property of Equality (which can be proved true by taking the addition of a negative number).
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