First, let's start off, let us define what are corresponding angles. When a transversal, which is a line that passes through two parallel lines, then the angles in the same corners are congruent.
Using this definition, the angles ∠2 is congruent to ∠6.
Answer:
X = -2
Step-by-step explanation:
1/2 X (5X-8) = -9
multiply both sides of the equation by 2
2 X 1/2 X (5X - 8) = 2 X (-9)
1 X (5X - 8) = 2 X (-9)
Reduce the numbers with the greatest common divisor 2
5 x -8 = 2 x (-9)
5 x -8 = -18
Move constant to the right by adding its opposite to both sides
5X -8 + 8=-18 + 8
Then eliminate the opposites
5X = -18 + 8
Calculate the sum
5X = -10
Divide both sides of the equation by 5
5X DIVIDE 5 = -10 DIVIDE BY 5
X = -10 DIVIDE BY 5
X = -2
Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.
-3(0) - 7y = 37
Simplifying,
-0 - 7y = 37
The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,
(0, 37/7)
Answer:
i think it would be (6, -6)
Step-by-step explanation:
if the letter d is already at (2, -2) you have to multiply those numbers by 3. that gives the coordinates (6, -6)