Answer:
Step-by-step explanation:
Given the inequality solved by a student expressed as:
-6v>42
To get v, follow the simple steps
Step 1: multiply both sides by -1
-6v>42
-1(-6v)<-1(42)
6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)
Step 2: Divide through by 6
6v < 42
6v/6 < 42/6
v < 7
Hence the range of values of v are the values of v less than 7
Since we are not given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.
Answer:
49
Step-by-step explanation:
To complete the square we use the formula:
So we can plug in 14 for b to find c.
Now this equation can be factored into:
Answer:
$77
Step-by-step explanation:
Let Friday be the variable f.
Let Saturday be the variable s.
Substitute 11 for f in the second equation.
Therefore, Kaitlin collected $77 on Saturday
Answer:
Step-by-step explanation:
one piece is 60×60 inch
5 pieces each measuring 12×12
so total 6 patches on one side and 6 pieces back side of same dimension.
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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