Which would prove that ΔABC ~ ΔXYZ? Select two options.

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

7 0

Answer:

StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction
StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X

Step-by-step explanation:

For similarity of triangles, it is sufficient to show corresponding sides are proportional (first choice). (SSS)

It is also sufficient to show two corresponding sides are proportional and the angle between them is congruent (third choice). (SAS)

_____

IMO, it would be much easier to read the answer choices if they were written using appropriate symbols:

BA/YX = BC/YZ = AC/XZ

AC/XZ = BA/YX, ∠A≅∠X

nataly862011 [7]3 years ago

4 0

Answer:

1 and 3

Step-by-step explanation:

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$