Answer:
and 
Step-by-step explanation:
The first answer you are just adding 4 and 1/4. The second answer you are adding a negative number with a postive fraction so you get a negative fraction.
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary
.
3. We have been also given that line segment BD bisects
.
4. By the definition of bisect
.
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate
.
6. 
Upon substituting
in above equation we will get,
Therefore, by substitution property of equality
.
Hence, proven that angle 1 is complementary to angle 3.
Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, that is
=
( cross- multiply )
9(x + 4) = 54 ( divide both sides by 9 )
x + 4 = 6 ( subtract 4 from both sides )
x = 2
Answer:
i hope it can help you!
Step-by-step explanation: