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ExtremeBDS [4]
2 years ago
13

SBC is an isosceles triangle with main vertex S.

Mathematics
1 answer:
stira [4]2 years ago
4 0

Answer + Step-by-step explanation:

1) D be the symmetric of B with respect to C then CD = BC

A the symmetric of C with respect to B then AB = BC

We obtain :

CD = BC

AB = BC

Then AB = CD

2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD

3) we have :

BA = CD

BS = CS

m∠SBA = m∠SCD

Then

the triangles SBA and SCD are congruent

4)

the triangles SBA and SCD are congruent Then SA = SD

Therefore SAD is an isosceles triangle.

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In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o
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Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)  

Conditional probability: P(A/B)=\frac{P(A\cap B)}{P(B)}

P(Cat)=\frac{18}{42}

P(male cat)=\frac{6}{42}

P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}

P(male/cat)=\frac{6}{18}=0.33

b.P(female cat)=\frac{12}{42}

P(female)=\frac{28}{42}

P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43

c.P(Dog)=\frac{24}{42}

P(dog female)=\frac{16}{42}

P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}

P(female/dog)=\frac{16}{24}=0.67

5 0
3 years ago
Shadow Software company earned a total of 800,009 selling programs during the year 2012. 125,300 of taht amount was used to pay
Softa [21]
Subtract 125,300 from 800,009. From there you find that they made 674,709 in profit. Answer is 674,709
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If the dimensions of the following cylinder are tripled, what factor will the volume change by?
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Answer:

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Step-by-step explanation:

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Answer:

Place "SUM" at 4 on the number line.

Step-by-step explanation:

8 + (-4) = 8 - 4 = 4

Adding a negative number is the same as subtracting its opposite. Adding -4 is the same as subtracting 4.

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Step-by-step explanation:

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