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:
14(y + 2).
Step-by-step explanation:
32 +2/3(21y - 6)
Distributing the 2/3 over the parentheses:
= 32 + 2/3*21y + 2/3 * -6
= 32 + 14y - 4
= 14y + 28
= 14(y + 2).
Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:

Where (x₁, y₁) and (x₂, y₂) are two, separate points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute them into the slope formula to get:

Subtract:

Hence, our slope is -2.
So, our answer is C.
Answer:
21.98
Step-by-step explanation:
7*3.16=21.98
You must first simplify the radicals by taking out any perfect squares.
√8 + 3√2 + √32 =
√4 * √2 + 3√2 + √16 * √2 =
2√2 + 3√2 + 4√2 =
9√2