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:
1/6 + 1/5 = 1/x, 3 days
Step-by-step explanation:
a) x days will take to paint the house together.
b) 1/6 part of the house, Noah paints for 1 day.
1/5 part of the house, Owen paints for 1 day
1/x part of the house they paint for 1 day together, and also we can write that
(1/6 + 1/5) part of the house they paint for 1 day together.
So, we can write equation
1/6 + 1/5 = 1/x
c) 1/6 + 1/5 = 1/x
30x*1/6 + 30x*1/5 = 30x*1/x
5x + 6x = 30
11x = 30
x = 30/11 ≈2.72 ≈ 3 days
The answer is 18 just add them
<u>Given</u>:
The given expression is 
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by

Applying the exponent rule that
in the above expression, we get;

Adding the exponents, we get;

Again, applying the exponent rule
, we get;

Thus, the simplified expression is 
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.