A linear pair is 2 angles that form 180° or a straight line. The sum of their measures is 180°
Triangle STU is similar to triangle SVW
so
TU ST
------- = ---------- (as you know SV = ST + TV = 12 + 18 = 30)
VW SV
so
TU 12
------- = ----------
40 30
TU = 12 * 40 / 30
TU = 16
answer
16 inches
Reasons:
Reason 3: Congruent supplements theorem
Statements:
Statement 4: Angle 1 is congruent with angle 2
Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2
Answer: The correct option is, (B) Addition property
Step-by-step explanation:
- Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.
For example : If x = y then x + z = y + z
- Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.
For example : If x = y then x × z = y × z
- Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (z).
For example : If x = y and y = z then x = z
The given inequality expression is,
5x - 9 < 91
5x -9 + 9 < 91 + 9
(Using Addition property because we are adding 9 on both the side)
5x < 100
5x ÷ 5 < 100 ÷ 5
(Using Division property because we are dividing by 5 on both the side)
x < 20
Therefore, addition property is used in the second step of solving the inequality.
