The answer is -6.39 but in fraction form it could be negative 147/23
Answer:
AB || CD
Step-by-step explanation:
Remember that vertical angles are always equal/ congruent to each other
Since 108° is vertical to angle S, angle S also equals 108°
Since a line is equal to 180°, and you now know that S equals 108°, you would subtract 180 by 108 to get line RT.
180-108= 71°
By default, line VW also equals 71° (you are repeating the same progress you did to get RT)
The angle vertical to <V is equal to 134°, so angle V also equals 134°
180-134 gives you the answer to the angle by 134 and V, they should equal 46°
Corresponding angles equal each other, so angle R is also 134°, and by default the other numbers are equal to to what you did at the top right
Once again, since corresponding angles are equal to each other, you would automatically have the same answers for the bottom line;
the outermost angles equal 134° and the innermost angles equal 46°
Answer:
D :)
Step-by-step explanation:
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
<h3>
Answer: x > 2</h3>
Work Shown:
5x - 14x < - 18
-9x < - 18
x > -18/(-9)
x > 2
The inequality sign flips when dividing both sides by a negative number.
Here's another approach you could take.
5x - 14x < - 18
-9x < -18
0 < -18+9x
18 < 9x
9x > 18
x > 18/9
x > 2
It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.
The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.
