Answer:
5.1.
Step-by-step explanation:
5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.
Hope this helps!
Option D:
Converse of the corresponding angle postulate
Solution:
1. Given a || b.
2. <u>Alternate Interior angle theorem:</u>
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
⇒ ∠1 ≅ ∠3
3. Given ∠2 ≅ ∠3
4. <u>Transitive property of equality:</u>
If a = b and b = c, then a = c.
So, from (2) and (3), we can say ∠1 ≅ ∠2.
5. ∠1 and ∠2 are corresponding angles.
<u>Converse of the corresponding angle postulate:</u>
If two lines are cut by a transversal and the corresponding angles are equal then the two lines are parallel.
⇒ c || d.
Option D is the correct answer.
Converse of the corresponding angle postulate.
So a line is always equal to 180 degrees so 180-133 = 47
so angle f= 47 degrees
Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
The sum of two odd functions is odd. The difference between two odd functions is odd. The difference between two even functions is even. The sum of an even and odd function is not even or odd, unless one of the functions is equal to zero over the given domain.
