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miss Akunina [59]
3 years ago
12

What is the measure of the indicated angle ?

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

The measure of the indicated angle is 72°

Step-by-step explanation:

If two parallel lines intersected by a transversal, then

  • There are pairs of corresponding angles equal in measures
  • There are pairs of alternate interior angles equal in measures
  • There are pairs of alternate exterior angles equal in measures
  • There are pairs of adjacent interior angles that are supplementary

In the given figure

∵ There are two parallel lines intersected by a transversal

∵ The angle of measure 108° and the indicated angle are adjacent

   interior angles

∴ They are supplementary

∵ The sum of the measures of supplementary angles is 180°

∴ 108 + indicated angle = 180

→ Subtract 108 from both sides

∴ The measure of the indicated angle = 72°

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An arithmetic sequence is represented in the following table. Enter the
pentagon [3]

Answer:

122

Step-by-step explanation:

An arithmetic sequence means a number is added each term.  There is a term for where a number is multiplied as well.  But in this case the first number is -103, the second number is -94 and the third number is -85.  Can you tell what number is added each time?

The number is 9.  -103+9=-94 and -94+9=-85 and so on.  Now we want a way to find the term way further down the line.

Think of it doing it all at once.  -103+9+9 gets us the third term right?  so that's 2*9.  -103+3*9 would get us the fourth.  Hopefully that makes sense, but let me know if it doesn't.  But for a few more examples, if we want the fifth term we would do -103+4*9 and getting the tenth would need -103+9*9.  So basically we take the number term we want (in this case we want the 26th) and then take -103+ n*9, where n is the term we want minus 1, or in this case 25.  so that's -103+25*9

Let me know if you need more of an explanation.

7 0
3 years ago
Create at least 3 subtraction problems that have a common denominator of 20 using the fractions one sixth two fifths four sevent
Umnica [9.8K]

Answer:

1. 1/2-2/5

2. 3/4-2/5

3. 1/2-3/4

Step-by-step explanation:

For you to be able to create such fractions you must make sure that the numerator is divisible by 20.

Clearly the number 2,4 and 5 can divide 20.so therefore any fraction formed with them will give the denominator 20

5 0
4 years ago
If you actually answer the question and do not give me some bogus answer(ex: I do not know) I will mark as brainliest to whoever
7nadin3 [17]

Answer:

I cannot access your picture

Step-by-step explanation:

8 0
3 years ago
Finding the expression with work<br> ANSWER ASAP PLZ!!!!!!!!!!!!!
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Answer: do your work yourself

Step-by-step explanation:

5 0
3 years ago
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If $315 is invested at an interest rate of 3% per year and is compounded continuously, how much will the investment be worth in
irina [24]

Answer:

\$412.64

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=9\ years\\ P=\$315\\ r=0.03  

substitute in the formula above  

A=\$315(e)^{0.03*9}=\$412.64

3 0
3 years ago
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