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Questions and Answers
What is the value of x in the equation 16x - 8 = 120?
What is the value of x in the equation 16x - 8 = 120?
In the equation m∠QXR = (3x + 3)° and m∠RXS = (4x + 6)°, what would be the next step after setting up 2(4x + 6) = 3x + 3?
In the equation m∠QXR = (3x + 3)° and m∠RXS = (4x + 6)°, what would be the next step after setting up 2(4x + 6) = 3x + 3?
What is the sum of the angles m∠RZS and m∠SZT if m∠RZS is expressed as (6x - 13)° and m∠SZT as (10x + 5)°?
What is the sum of the angles m∠RZS and m∠SZT if m∠RZS is expressed as (6x - 13)° and m∠SZT as (10x + 5)°?
If 3x - 63 = x + 37, what operation would you perform first to isolate x?
If 3x - 63 = x + 37, what operation would you perform first to isolate x?
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What is the possible outcome for x if 5x = -9?
What is the possible outcome for x if 5x = -9?
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Study Notes
Problem 15
- Find x if m∠RZT = 120°, m∠RZS = 6x - 13°, and m∠SZT = 10x + 5°
- The angles RZS and SZT form a larger angle, RZT. This means (6x - 13) + (10x + 5) = 120
- Solve for x: 16x - 8 = 120; 16x = 128; x = 8
Problem 16
- XS bisects ∠RXT. m∠QXR = (3x + 3)° and m∠RXS = (4x + 6)°
- An angle bisector divides an angle into two equal parts. So m∠RXS = m∠TXS
- 4x + 6 = 3x + 3
- Solve for x: x= -3
- If x = -3, it is not possible to solve.
Problem 17
- Find the value of x, given that 3x - 63 = x + 37
- Solve for x, 2x = 100; x = 50
Problem 18
- Find x in the figure
- The angles form a right angle (90°)
- 4x + 60 + 90 - 4x = 180 (solve) - this problem is problematic as it is unclear which angles are in question.
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Description
This quiz consists of various geometry problems involving angles and algebraic equations. Participants will solve for the variable x in different angle configurations and equations. Test your understanding of angle relationships and algebraic manipulation with these problems.
