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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?
- 4
- 10
- 8 (correct)
- 6
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?
- Moving all terms involving *x* to one side
- Setting the expression to equal 0
- Distributing to get 8*x* + 12 (correct)
- Combining like terms to get 2*x* + 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)°?
- 10*x* + 8
- 16*x* - 8 (correct)
- 10*x* - 8
- 16*x* + 8
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?
What is the possible outcome for x if 5x = -9?
What is the possible outcome for x if 5x = -9?
Flashcards
Angle Addition Postulate
Angle Addition Postulate
The measure of an angle is the sum of the measures of its non-overlapping parts.
Angle Bisector
Angle Bisector
A bisector divides an angle or segment into two congruent parts.
Triangle Angle Sum Theorem
Triangle Angle Sum Theorem
The sum of the measures of the angles in a triangle is 180°.
Solving for a Variable
Solving for a Variable
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Angle Bisector Theorem
Angle Bisector Theorem
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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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