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Gennadij [26K]
3 years ago
13

What else would need to be congruent to show that ABC = XYZ by ASA?

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

Option B AC≅XZ

Step-by-step explanation:

we know that

ASA (angle, side, angle) means that we have two congruent triangles where we know two angles and the included side are equal

In this problem we have

∠X≅∠A

∠Z≅∠C

In the triangle ABC the included side between the angles ∠A and ∠C is the side AC

and

In the triangle XYZ the included side between the angles ∠X and ∠Z is the side XZ

therefore

AC≅XZ

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each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u
amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters  n=20  and  p1=p2=p3=p4=p5=15  we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division  (3,5,4,4,4)  and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

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7 0
1 year ago
What is FC in the figure?
Harlamova29_29 [7]
FC is median..

Median is a line from a vertex that equally divides the opposite side...
here FC divides DB therefore it is a median.....



HOPE IT HELPS YOU '_'
8 0
3 years ago
Read 2 more answers
Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))
Romashka [77]

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

f(x)=\frac{x-2}{3}

You must substitute x=2 into the function f(x). Then:

f(2)=\frac{(2)-2}{3}

2. Evaluating, you get:

f(2)=\frac{0}{3}\\\\f(2)=0

3. Now, the next step is to substitute f(2)  into the function g(x):

g (x) = 3x+2\\\\g (f(2)) = 3(0)+2

4. Finally, evaluating, you get the following result:

g (f(2)) = 0+2\\\\g (f(2)) =2

You can identify that it matches with the Option C.

3 0
4 years ago
How long is a elaphants head
sergejj [24]

Answer: Depends on the elephant ;)




7 0
3 years ago
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per hour for pulling weeds. In Septe
valkas [14]

Answer:

$477

Step-by-step explanation:

63 hours x $6 = $378

9 hours x $11 = $99

378+99= $477

3 0
3 years ago
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