Complete the statements about the relationship between the two labeled angles.
Given: The labeled angles form a right angle.
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
The two labeled angles are .
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
That means that their measures .
Use the relationship you determined to write an equation to help you solve for ecks.
.
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B
The two labeled angles are complementary.
That means that their measures add up to 90 degrees.
Use the relationship you determined to write an equation to help you solve for ecks:
angle 1 + angle 2 = 90 degrees.
Use the relationship you determined to write an equation to help you solve for ecks.
I'm sorry, I cannot provide an accurate answer without additional context or information about the problem. Could you please provide more details or the full problem statement?
Complete the statements about the relationship between the two labeled angles.
Given: The labeled angles form a right angle.
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
The two labeled angles are
.
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
That means that their measures
.
.
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G
The two labeled angles are complementary.
That means that their measures add up to 90 degrees.
Use the relationship you determined to write an equation to help you solve for ecks:
Angle 1 + Angle 2 = 90 degrees.
Complete the statements about the relationship between the two labeled angles.
Given: The labeled angles lie on a straight line.
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
The three labeled angles are
.
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.
That means that their measures
.
.
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E
The three labeled angles are supplementary.
That means that their measures add up to 180 degrees.
A football team has moved twenty-seven yards from the half line towards the other team's goal line. The team then receives some penalties. Each penalty moves the team ten yards away from the other team's goal line. Measuring from the half line, positions closer to the opponent's goal line are positive values. Positions closer to the team's own goal line are negative values. Penalties are negative values.
Define a unit for the position relative to the half line.
If the team gets six penalties, what is their position relative to the half line?
If the team gets seven penalties, what is their position relative to the half line?
Complete the rows for the change in position for each penalty and the team's initial position compared to the half line. Then, enter a variable for the number of penalties and use this variable to write an expression for the position relative to the half line.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Penalties
Position Relative to Half Line
Unit
penalties
If the team gets six penalties, what is their position relative to the half line?
Question 1
If the team gets seven penalties, what is their position relative to the half line?
Question 2
Change in yards for each penalty
yards per penalty
Position of the team before the penaties
yards
Expression
Quantity Name | Penalties | Position Relative to Half Line
--- | --- | ---
Unit | penalties | yards
If the team gets six penalties, what is their position relative to the half line? | |
If the team gets seven penalties, what is their position relative to the half line? | |
Change in yards for each penalty | -10 |
Position of the team before the penalties | 27 |
Expression | -10p + 27 |
If the team gets six penalties, their position relative to the half line would be:
-10p + 27 = -10(6) + 27 = -33 yards
If the team gets seven penalties, their position relative to the half line would be:
-10p + 27 = -10(7) + 27 = -37 yards.
Harriet is president of the Save Our World club and decides that there's a litter problem on the road in front of her school. She decides to clean up the existing trash and then start a No Litter campaign. The day before the campaign, she begins by collecting the garbage in front of the school. She collects forty-five pieces of garbage. The next day, she begins the No Litter campaign. She stands for hours on her section of roadway with a sign and runs and yells at each car that throws litter out of their window. Each day of her campaign, she finds the number of pieces of new garbage she collects decreases by one piece.
Define a unit for the number of days into the No Litter campaign.
On the fourteenth day of her campaign, how many pieces of garbage did Harriet collect?
After two days, how many pieces of garbage had Harriet collected?
Complete the rows for the daily decrease in pieces of garbage and the number of pieces of garbage collected on the first day. Then, enter a variable for the number of days into the No Litter campaign and use this variable to write an expression for the number of pieces of garbage collected.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Time Campaigning
Garbage Pieces
Unit
pieces
On the fourteenth day of her campaign, how many pieces of garbage did Harriet collect?
Question 1
After two days, how many pieces of garbage had Harriet collected?
Question 2
Change in pieces of garbage collected each day
pieces per day
Initial pieces of garbage collected
pieces
Expression