Answer:
Athena = 10,265 km
Vesta = 102,650 km
Juno = 102,650 km
Ceres = 2,053,000 km
Apollo = 1,026,500 km
Step-by-step explanation:
Athena = 20,530 / 2 = 10,256
From there, you can work out the rest by multiplying accordingly.
Hope this helps and made sense! :)
To solve for x and y, you need to know if the triangles are congruent. They are because of their congruent sides and exterior angles are the same measure.
Now you know that the triangles are congruent, you can set up a proportion for the side lengths you are looking for.
For x...
22/10=x/12. Then cross mutiply. x =26.4
You can do this because the triangles are congruent.
For y...
22/10 =37.4/y. Then you cross multiply. y=17
The correct answer is B.
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Answer:
P(A)=0.55
P(A and B)=P(A∩B)=0.1265
P(A or B)=P(A∪B)=0.7635
P(A|B)=0.3721
Step-by-step explanation:
P(A')=0.45
P(A)=1-0.45=0.55
P(B∩A)=?
P(B|A)=0.23
P(B|A)=(P(A∩B))/P(A)
0.23=(P(A∩B))/0.55
P(A∩B)=0.23×0.55=0.1265
P(A∪B)=P(A)+P(B)-P(A∩B)
=0.55+0.34-0.1265
=0.7635
P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721
