The sum of two numbers is 186.The difference between the same numbers is 32. What are the two numbers?
1 answer:
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Answer:
A. by the SAS postulate.
Step-by-step explanation:
We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.
We can see that side DF of triangle DEF is equal to side AC of triangle ABC.
We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.
The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.
Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.
Answer:
4.
Once is opposite to
, they are the same. It is the same for
, equals to 40º.
m∠y = 40º
The ∠x and 40º are supplementary, therefore ∠x = 140º.
∠z = 140º
m∠x = 140º
m∠y = 40º
m∠z = 140º
5.
Considering the explanation from the question 4:
m∠x = 50º
m∠y = 130º
m∠z = 50º