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jefersonzoruajas
26.08.2020 •
Mathematics
Question 8 (5 points)
For what values of x is the inequality 6x < 12 true?
Ox<2
x2
Ox>6
x <6
Solved
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Ответ:
x < 2
Step-by-step explanation:
We are given the inequality:
We want to solve for x. We must isolate x on one side of the inequality.
x is being multiplied by 6. The inverse of multiplication is division. Divide both sides of the inequality by 6.
For the values of x where x<2, the inequality 6x < 12 is true.
Ответ:
The measure of angle TRV is 130° ⇒ last answer
Step-by-step explanation:
* According to the attached graph
- Line TRW intersects line SRV at point R
- The measure of angle VRT is (2x + 10)°
- The measure of angle VRW is (x - 10)°
- We need to find measure of angle TRV
- From the attached figure
∵ T , R , W lie on the same line
∴ ∠TRW is a straight angle
- The measure of the straight angle is 180°
∴ m∠TRW = 180°
∵ ∠TRW contains ∠VRT and ∠VRW
∴ m∠VRT + m∠VRW = m∠TRW
∴ m∠VRT + m∠VRW = 180°
∵ m∠VRT = (2x + 10)°
∵ m∠VRW is (x - 10)°
∴ 2x + 10 + x - 10 = 180
- Add like terms
∴ 3x = 180
- Divide both sides by 3
∴ x = 60
∵ m∠TRV = (2x + 10)°
- Substitute x by 60
∴ m∠TRV = 2(60) + 10 = 120 + 10 = 130°
∴ The measure of angle TRV is 130°