Given the following Venn diagram: Find M N.
2 answers:
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Answer: Second option
Step-by-step explanation:
You need to make the multiplication of the function and the function
. Then:
You need to apply the Distributive property:
Therefore, the domain will be all the number that make the denominator equal to zero.
Then, make the denominator equal to zero and solve for x:
Therefore, the domain is: All real values of x except
Answer:
See explanation
Step-by-step explanation:
Triangles ΔABC and ΔBAD are congruent. So,
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Consider triangles AEC and BED. In these triangles,
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (as vertical angles).
So, ΔAEC ≅ ΔBED. Thus,
AE ≅ EB.
This means that segment CD bisects segment AD.
