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GarryVolchara [31]
3 years ago
12

Please need help asap!!

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

a+b+c=180,  \text{ }c+e=180 \implies \\ a+b+c=c+e \implies \\ a+b=e\\

This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

You might be interested in
For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below?
vampirchik [111]

Hey there! I'm happy o help!

To get from 60 to -20, you multiply by -1/3. This is our constant of proportionality. Let's see which points below follow this.

-10(-1/3)=3 1/3≠30

30(-1/3)=-10≠-15

-30(-1/3)=10

80(-1/3)=-26 2/3≠-30

Therefore, the correct answer is (-30,10).

Have a wonderful day! :D

6 0
3 years ago
HELP!!! I need help ASAP!!! PLEASE!!
bekas [8.4K]
Top second one under grass and across from minor 77.972.
7 0
3 years ago
Help me find the error <br> plz i beg
Annette [7]

Answer:

you have to divide by 4 not subtracted.  

Step-by-step explanation:

5 0
3 years ago
22/110 to its lowest terms
Dmitrij [34]
Find the GCF, in this case 11, and divide both the numerator and denominator by it. Here, it turns out to be 2/11 because 22÷11 is 2 and 110÷11 is 11.
3 0
3 years ago
Read 2 more answers
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