Answer:
See explanation
Step-by-step explanation:
<u>Given:</u> ΔABC ≅ ΔDEF
AM, DN - medians
<u>Prove:</u> AM ≅ DN
Proof:
1. Congruent triangles ABC and DEF have congruent corresponding parts:
- AB ≅ DE;
- BC ≅ EF;
- ∠ABC ≅ ∠DEF.
2. BM ≅ MC - definition of the median AM;
3. EN ≅ NF - definition of the median DN;
4. AB ≅ 2BM, EF ≅ 2EN
BM ≅ 1/2 AB,
EN ≅ 1/2 EF,
thus, BM ≅ EN
5. Consider two triangles ABM and DEN. In these triangles \:
- AB ≅ DE (see 1));
- BM ≅ EN (see 4));
- ∠ABM ≅ ∠DEN (see 1).
So, ΔABM ≅ ΔDEN by SAS postulate.
6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.
Answer:
Lyrics A
Step-by-step explanation:
Problem statement does not mention anything about conditions of the test, so we dont know if the experiment was correctly done, but we know the kind of problem we are facing here is concerning a normal distribution
Then assuming the test was done by knowledgeable people, which means:
- they got correct information from the population
-sample was big enough
- level of confidence was acceptable for the test ( approximately 95 %) - Alternative hypothesis took into account two tails test
-Test was evaluated according to sample size
-And finally calculations were right
Under the above mentioned conditions, they tested the hypotesis H₀ = μ₀ = 16 ounces and they got results that implies the acceptance of such hypothesis (that means the null hypothesis should not be rejected), and the answer is lyrics A
<u>Answer:</u>
<u>No, this is not a rational number.</u>
This is an irrational number because it's not rational. There isn't a possible ratio for that number.
Answer:52
Step-by-step explanation:
180-56-72=x so x is 52
Answer:
-8x+12
Step-by-step explanation:
Solve:
2(-5x + 10) + 2(x-4)= perimeter
-10x+20 + 2x-8= perimeter
-8x+12= perimeter
Hope this helps! :)
