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Vikki [24]
3 years ago
9

Transformati: 0,08 km. 0,3cm 0,77km. 0,05 cm. 8,32. 0,04hm. 2hm. 820m. 9,1mm. 92cm

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

Answer:

Please, read the anserws below

Step-by-step explanation:

In order to transform all quantities to meters you take into account the following conversion factors:

\frac{1km}{1000m}\\\\\frac{100cm}{1m}\\\\\frac{1hm}{100m}\\\\\frac{1000mm}{1m}

THen, you have:

for 0,08km:

0,08km*\frac{1000m}{1km}=80m

for 0,3cm:

0,3cm*\frac{1m}{100cm}=0,003m

for 0,77km

0,77km*\frac{1000m}{1km}=770m

for 0,05cm:

0,05cm*\frac{1m}{100cm}=0,0005m

for 0,04hm:

0,04hm*\frac{100m}{1hm}=4m

for 2hm:

2hm*\frac{100m}{1hm}=200m

for 9,1mm:

9,1mm*\frac{1m}{1000mm}=0,0091m

for 92cm:

92cm*\frac{1m}{100cm}=0,92m

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It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

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