Two angles in a triangle add up to 108 degrees what is the size of the third angle

Answers

Answer 1
Answer: 72 degrees
Because a triangle is 180 degrees and 180-108 is 72.


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(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12.

Answers

(x + 3) • (x + 2) • (x - 1) • (x - 2)

Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

Answer:

In this geometric series, a represents the first term, what he pays back monthly is the common ratio which is 1.2, and the first 30 payments are what is being used to find the total amount which is represented by n. Thus, a=$200, n=30 and r=1.2. The sum is found by sn=(a((r^n)-1))/(r-1), which will be 200((1.2^30)-1))/(1.2-1). The solution is = $ 236,376 and the series is divergent because of the common ratio being greater than 1.

Step-by-step explanation:

This is a geometric series. The first payment represents the first term, a. The number of times he wants to pay back for subsequent payments represent the common ration, r. The first 30 payments represents the number of terms to use in finding the sum, n.

Hence, a = $ 200, n = 30 and r = 1.2.

The sum of a geometric sequence is given as:

Sn = (a((r^n)-1))/(r-1)

     =(200((1.2^30)-1))/(1.2-1) 
  
     = $ 236, 376. 31

Explain why this series is convergent or divergent.

Since the common ratio, r, is greater than 1, the series is divergent

What is the first step in solving the following equation 3x - 5 = 20?

Answers

Add 5 to both sides.
Add 5 in the both sides

A game spinner has regions that are numbered 1 through 8. if the spinner is used twice, what is the probability that the first number is a 3 and the second is a 6? a. 116 b. 164 c. 964 d. 23

Answers

The probability that the first number is a 3 and the second is a 6 is 1/64

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

spinner had region numbered from 1 to 8

So, the probability on the spinner has an equally likely chance of being selected = 1/8.

P(3) = 1/8

P(6) = 1/8

Thus, probability that the first number is a 3 and the second is a 6

= (1/8) × (1/8)

= 1/64

Read more on probability at:

brainly.com/question/32117953

24 21 is 60% of what number?

Answers

Answer:

could u explain it better

Answer: either I don't remember if you use the % or the number ok

Hope this helps

2421 × 60 = 145260

2421 × 60% = 1452.6

Step-by-step explanation:

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4