Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer: I totally agree. In fact, it's the closest thing to social media I have LOL
Answer:
Consider the given vectors.
a=3i+2j−6k
b=4i−3j+k
Now,
a⋅b=(3i+2j−6k)(4i−3j+k)
a⋅b=12−6−6=0
Therefore,
Two vectors a and b are perpendicular.
Thus, the angle between the vectors a and b =90∘
Hence, this is the answer.
Step-by-step explanation:
I really hope this help you:)
if not I'm sorry:(
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Answer:
3(n - 5) = 2n - 3
3n - 15 = 2n - 3
n = 12
Step-by-step explanation: