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:
what is the equation and what do we solve for?
Step-by-step explanation:
what we solve for?
Ruby eats two slices of pie
Fraction generally represents a part of the whole. The number present in the upper side is called as numerator and the number present below is called as denominator. Fraction can also be represented as a decimal or percentage when required.
Fraction of pie Ruby ate = 1/5
Number of slices present in the pie = 10
numerical value of a fraction = fraction x total number
So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2
Therefore, Ruby eats two slices of pie.
Ruby ate 1/5 of a pie and if there was 10 slices of pie, it implies Ruby eats two slices of pie.
To learn more about fraction refer here
brainly.com/question/11562149
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Answer:
30. Y= ×(-3)+4
Step-by-step explanation:
-2(-3)=6+4=10
therefore 1(-3)+4
=1
2(-3)=-6
-6+4=-2