Answer:
Step-by-step explanation:
1) ∠1 + ∠2 = 180 {linear pair}
105 +∠2 = 180
∠2 = 180 - 105
∠2 = 75°
Reason: Linear pair
2) ∠3 = ∠1 {Vertically opposite angles are congruent}
∠3 = 105
Reason: Vertically opposite angles are congruent
Answer:
The first term is 14.
Step-by-step explanation:
The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference. Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1). The first term is 14.
Answer:
Vladimir and Robyn both are correct.
Step-by-step explanation:
Let us check whether the points (-5,-3) and (10,9) are on the line
or not.
The equation of the straight line passing through the given points (-5,-3) ans (10,9) is 
⇒ 5(y - 9) = 4(x - 10)
⇒ 5y = 4x + 5
⇒
.............. (1)
So, Vladimir is correct.
Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).
Then, both of the points satisfy the equation (1).
Therefore, Vladimir and Robyn both are correct. (Answer)
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>

Answer
n <u>< </u>14
Step-by-step explanation:
simplify 2n<28
2n/2<28/2
simplify n<14