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Leno4ka [110]
2 years ago
9

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila

r, explain why.

Mathematics
1 answer:
HACTEHA [7]2 years ago
5 0

Answer: No, they are not similar

Step-by-step explanation:

       Similar triangles are triangles with congruent angles.

                   33° ≠ 32°

       These triangles are not similar.

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I need help ASAP. Please and Thanks
salantis [7]

Answer:

(a) 42.25 km

(b) 616.85 km

(c)  32.31 cm

Step-by-step explanation:

(a) 1 cm on map: 4225000 / 100000 = 42.25 km on ground

(b) 14.6 cm on map: 42.25 x 14.6 = 616.85 km on ground

(c) 1365 km on ground: 1365 / 42.25 = 32.31 cm on map

8 0
3 years ago
Which sets of measurements could be the interior angle of a triangle? Select each correct answer.
zhenek [66]

Answer:

the answer is A

Step-by-step explanation:

ignore this part

8 0
3 years ago
The probability that a certain make of car will need repairs in the first seven months is 0.9. A dealer sells three such cars. W
aleksandr82 [10.1K]

Answer:

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

Step-by-step explanation:

For each car, there are only two possible outcomes. Either they will require repair in the first seven months, or they will not. The probability of a car requiring repair in the first seven months is independent of other cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain make of car will need repairs in the first seven months is 0.9.

This means that p = 0.9A dealer sells three such cars.

A dealer sells three such cars.

This means that n = 3

What is the probability that at least one of them will require repairs in the first seven months?

Either none will require repairs, or at least one will. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X > 0) = 1

We want P(X > 0). So

P(X > 0) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.9)^{0}.(0.1)^{3} = 0.001

Then

P(X > 0) = 1 - P(X = 0) = 1 - 0.001 = 0.9990

0.9990 = 99.90% probability that at least one of them will require repairs in the first seven months.

4 0
3 years ago
There are five different routes that a commuter can take from her home to the office. In how many ways can she make a round trip
Lynna [10]

Answer: 120 ways

Step-by-step explanation:

Let's label the routes a, b, c, d, and e. The goal is to come up with as many unique permutations as possible.

1 route: a=1.               one factorial (1!) =1*1=1

2 routes: ab, ba=2.      2!=1*2=2

3 routes: abc, acb, bac, bca, cab, cba=6.      3!=1*2*3=6

4 routes: 4!=1*2*3*4=24

5 routes: 5!=1*2*3*4*5=120 ways

4 0
2 years ago
Find the 9th term of the geometric sequence <br> 8 , 32 , 128
Ksju [112]

Answer:

the pattern seems to be to multiply by 4 so the answer would be 524,288

Step-by-step explanation:

8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288

8 0
3 years ago
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