Question
In which of the following figures are the angles 7 and 8 adjacent?
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1 point
Option 1
Option 2
Option 3
Which of the following pairs of angles are not adjacent?
*
1 point
Captionless Image
<1, <2
<1, <3
<2, <3
The vertex of an angle is:
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1 point
a point
a line
a ray
Which of the following is NOT a correct way to name this angle?
*
1 point
Captionless Image
<RQP
<Q
<PRQ
<PQR
Which operation would you use to find the m<DAC?
*
1 point
Captionless Image
addition
subtraction
multiplication
division
A student claims the m<DAC is 196 degrees because 141+55 = 196. Explain why this measure isn't possible.
*
1 point
Captionless Image
Find m<VST.
*
1 point
Captionless Image
Use the Angle Addition Postulate to complete the following statement regarding the diagram below. m<XWY + ? = m<XWZ
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1 point
Captionless Image
m<ZWX
m<YWX
m<ZWY
Which of the following equations can be used to solve for x?
*
1 point
Captionless Image
27 + 29 = x - 6
x - 6 + 27 = 29
29 - 27 = x - 6
Solve for x.
*
1 point
Captionless Image
x = 48
x = 71
x = 94
Use the Angle Addition Postulate to write a part + part = whole statement naming the angles in the diagram below.
*
1 point
Captionless Image
Complete the equation. ? = 9x + 17
*
1 point
Captionless Image
This equation can be used to solve for x. (3x - 5) + 43 = 68 Which of the following could be your next step?
*
1 point
Captionless Image
Divide 68 by 3
Subtract 5 from 43.
Subtract 5 from 68.
Add 68 and 43.
Solve for x.
*
1 point
Captionless Image
x = 21
x = 16
x = 10
*
1 point
Option 1
Option 2
Option 3
Which of the following pairs of angles are not adjacent?
*
1 point
Captionless Image
<1, <2
<1, <3
<2, <3
The vertex of an angle is:
*
1 point
a point
a line
a ray
Which of the following is NOT a correct way to name this angle?
*
1 point
Captionless Image
<RQP
<Q
<PRQ
<PQR
Which operation would you use to find the m<DAC?
*
1 point
Captionless Image
addition
subtraction
multiplication
division
A student claims the m<DAC is 196 degrees because 141+55 = 196. Explain why this measure isn't possible.
*
1 point
Captionless Image
Find m<VST.
*
1 point
Captionless Image
Use the Angle Addition Postulate to complete the following statement regarding the diagram below. m<XWY + ? = m<XWZ
*
1 point
Captionless Image
m<ZWX
m<YWX
m<ZWY
Which of the following equations can be used to solve for x?
*
1 point
Captionless Image
27 + 29 = x - 6
x - 6 + 27 = 29
29 - 27 = x - 6
Solve for x.
*
1 point
Captionless Image
x = 48
x = 71
x = 94
Use the Angle Addition Postulate to write a part + part = whole statement naming the angles in the diagram below.
*
1 point
Captionless Image
Complete the equation. ? = 9x + 17
*
1 point
Captionless Image
This equation can be used to solve for x. (3x - 5) + 43 = 68 Which of the following could be your next step?
*
1 point
Captionless Image
Divide 68 by 3
Subtract 5 from 43.
Subtract 5 from 68.
Add 68 and 43.
Solve for x.
*
1 point
Captionless Image
x = 21
x = 16
x = 10
Answers
GPT-4o mini
It looks like you're asking several math-related questions related to angles and algebra, but unfortunately, I cannot see the images you've referenced. However, I can help answer the questions based on common geometric principles and algebraic rules. Here are some possible answers for each question based on typical content:
1. **In which of the following figures are the angles 7 and 8 adjacent?**
- Without the figures, I can't specify. However, adjacent angles share a common side and vertex.
2. **Which of the following pairs of angles are not adjacent?**
- Typically, a pair of angles like <1 and <3 would not be adjacent if they do not share a common vertex or side.
3. **The vertex of an angle is:**
- **a point.** The vertex is the point where the two rays (sides of the angle) meet.
4. **Which of the following is NOT a correct way to name this angle?**
- Without the image, it’s hard to specify, but an angle can typically be named by its vertex or by the three points (the vertex in the middle). If <Q is mentioned alone and <RQP and <PQR are complete names using three points, then <Q might be considered a less formal way.
5. **Which operation would you use to find the m<DAC?**
- Typically, you would use **addition** if you're finding the total angle measure formed by the sum of two adjacent angles.
6. **A student claims the m<DAC is 196 degrees because 141+55 = 196. Explain why this measure isn't possible.**
- The measure of an angle cannot exceed 180 degrees. Therefore, 196 degrees for m<DAC is not possible.
7. **Find m<VST.**
- Without the diagram, I cannot provide an answer. However, you would usually use the relationships given in the diagram for this.
8. **Use the Angle Addition Postulate to complete the following statement regarding the diagram below: m<XWY + ? = m<XWZ.**
- Assuming XWY and XWZ are angles, it should be the angle that is adjacent to <XWY to complete the equation, likely <ZWY or <YWX.
9. **Which of the following equations can be used to solve for x?**
- Again, I can't see the choices, but if you’re given equations that involve finding x, you typically want an equation that isolates x on one side.
10. **Solve for x.**
- Without the calculation, I can't provide an answer, but apply algebraic principles to solve the equation you've been given.
11. **Use the Angle Addition Postulate to write a part + part = whole statement naming the angles in the diagram below.**
- Again, without the diagram, I can't specify which angles to reference. Typically for two angles that combine to equal a third, you would state that one angle + another angle = the entire angle.
12. **Complete the equation. ? = 9x + 17.**
- The left side of the equation would represent another expression or number that solves for when equated to 9x + 17.
13. **This equation can be used to solve for x. (3x - 5) + 43 = 68 Which of the following could be your next step?**
- The logical next step would typically be to **add** or combine terms or move constants to isolate x. So **subtract 5 from 68** would be a valid next step.
14. **Solve for x.**
- Again, without the equation in front of me, I cannot answer. However, apply arithmetic operations inversely to isolate x.
If you can provide the content of the images or diagrams, I would be glad to give you more targeted help!
1. **In which of the following figures are the angles 7 and 8 adjacent?**
- Without the figures, I can't specify. However, adjacent angles share a common side and vertex.
2. **Which of the following pairs of angles are not adjacent?**
- Typically, a pair of angles like <1 and <3 would not be adjacent if they do not share a common vertex or side.
3. **The vertex of an angle is:**
- **a point.** The vertex is the point where the two rays (sides of the angle) meet.
4. **Which of the following is NOT a correct way to name this angle?**
- Without the image, it’s hard to specify, but an angle can typically be named by its vertex or by the three points (the vertex in the middle). If <Q is mentioned alone and <RQP and <PQR are complete names using three points, then <Q might be considered a less formal way.
5. **Which operation would you use to find the m<DAC?**
- Typically, you would use **addition** if you're finding the total angle measure formed by the sum of two adjacent angles.
6. **A student claims the m<DAC is 196 degrees because 141+55 = 196. Explain why this measure isn't possible.**
- The measure of an angle cannot exceed 180 degrees. Therefore, 196 degrees for m<DAC is not possible.
7. **Find m<VST.**
- Without the diagram, I cannot provide an answer. However, you would usually use the relationships given in the diagram for this.
8. **Use the Angle Addition Postulate to complete the following statement regarding the diagram below: m<XWY + ? = m<XWZ.**
- Assuming XWY and XWZ are angles, it should be the angle that is adjacent to <XWY to complete the equation, likely <ZWY or <YWX.
9. **Which of the following equations can be used to solve for x?**
- Again, I can't see the choices, but if you’re given equations that involve finding x, you typically want an equation that isolates x on one side.
10. **Solve for x.**
- Without the calculation, I can't provide an answer, but apply algebraic principles to solve the equation you've been given.
11. **Use the Angle Addition Postulate to write a part + part = whole statement naming the angles in the diagram below.**
- Again, without the diagram, I can't specify which angles to reference. Typically for two angles that combine to equal a third, you would state that one angle + another angle = the entire angle.
12. **Complete the equation. ? = 9x + 17.**
- The left side of the equation would represent another expression or number that solves for when equated to 9x + 17.
13. **This equation can be used to solve for x. (3x - 5) + 43 = 68 Which of the following could be your next step?**
- The logical next step would typically be to **add** or combine terms or move constants to isolate x. So **subtract 5 from 68** would be a valid next step.
14. **Solve for x.**
- Again, without the equation in front of me, I cannot answer. However, apply arithmetic operations inversely to isolate x.
If you can provide the content of the images or diagrams, I would be glad to give you more targeted help!