Answer:
UV = 4.5 (not rounded)
TV = 3√3
m∠U = 60˚
Step-by-step explanation:
UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.
sin(30) = 9/UV
9sin(30) = UV
4.5 = UV
TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.
tan(30) = 9/TV
9tan(30) = TV
3√3 = TV
m∠U = Sum of all interior angles of a triangle is 180˚:
90˚ + 30˚ = 120˚
180˚ - 120˚ = 60˚
Hope this helps :)
Answer:
m∠BCE = 28° and m∠ECD = 134°
Step-by-step explanation:
* Lets explain how to solve the problem
- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD
- m∠ECD is six less than five times m∠BCE
- That means when we multiply measure of angle BCE by five and
then subtract six from this product the answer will be the measure
of angle ECD
∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)
∵ m∠BCD = m∠BCE + m∠ECD
∵ m∠BCD = 162°
∴ m∠BCE + m∠ECD = 162 ⇒ (2)
- Substitute equation (1) in equation (2) to replace angle ECD by
angle BCE
∴ m∠BCE + (5 m∠BCE - 6) = 162
- Add the like terms
∴ 6 m∠BCE - 6 = 162
- Add 6 to both sides
∴ 6 m∠BCE = 168
- Divide both sides by 6
∴ m∠BCE = 28°
- Substitute the measure of angle BCE in equation (1) to find the
measure of angle ECD
∵ m∠ECD = 5 m∠BCE - 6
∵ m∠BCE = 28°
∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°
* m∠BCE = 28° and m∠ECD = 134°
Answer:
what? im confused
Step-by-step explanation:
Step-by-step explanation:
c >= 2
that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.
c < 2
that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.
c < 3
that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.
3 < c
that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.
-8 < c
that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
