Which is a true statement about an exterior angle of a triangle
which is a true statement about an exterior angle of - 1

Answers

Answer 1
Answer:

The true statement about an exterior angle of a triangle is C; It forms a linear pair with one of the interiior angles of the triangle .

What is the Exterior Angle of a Triangle Property?

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

We know that the exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.

The pair also rests on the same straight line and that makes a pairs.

Therefore we can say that it is formed by a linear pair with one of the interior angles of the triangle.

So, the correct answer would be C.

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Answer 2
Answer:

Answer:

D

Step-by-step explanation:

The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.

The pair also rests on the same flat/straight line and that makes a pair.

Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.

So, the correct answer would be D.


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Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?

Preform the indicated operation. Write your answer in proper a + bi form.HELP!!
(4 +√-6) + (8-√-294) -(21 + √-216)

Answers

(4 +√(-6)) + (8-√(-294)) -(21 + √(-216))=\n4+\sqrt6i+8-7\sqrt6i-21-6\sqrt6i=\n-9-12\sqrt6i

Luke puts $500 into a savings account that earns 6% simple interest each year. How much money will be in the account after 3 years

Answers

9514 1404 393

Answer:

  $590

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +rt) . . . . simple interest rate r for t years

  A = $500(1 +0.06×3) = $590

There will be $590 in the account after 3 years.

Answer:

= $90

Step-by-step explanation:

I = prt

I = 500 x 0.06 x 3

I = $90

A flashlight costs $12.00. The sales tax is 6%. What is the amount of the sales tax?

Answers

12.00x0.06, which is 0.72, so the sales tax is 72 cents. Basically, what you do to answer these kinds of questions is divide the percentage by 100 (6/100=0.06), because the percentage is out of 100%. Then you multiply that number by the price to get the sales tax. If you wanted to find the total price, add the tax you found to the original price ( in this case would give us $12.72 )

Hope this helps!

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0

Answers

Answer:

The correct answer is x^2 + x = 42.

Step-by-step explanation:

First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.

Finally, using that the addition is commutative we have that x^2+x=42.  

x^2 + x = 42

sum indicates addition
a number = x
it's square = x^2

51.66 the 6 in the tenths place is _______ the value of the 6 in the hundredths place

Answers

The value of 6 in the tenths place is 10 times the value of 6 in the hundredths place.

0.06 x 10 = 0.6

Final answer:

The 6 in the tenths place in the number 51.66 is ten times greater in value than the 6 in the hundredths place, due to positional values in decimal numbers.

Explanation:

In the decimal number 51.66, the value of the 6 in the tenths place is indeed ten times the value of the 6 in the hundredths place. This is because each place to the right of the decimal point is ten times smaller than the place to its immediate left. Therefore, although both of these digits are 6, the 6 in the tenths place represents a value of 0.6 (or 6/10), whereas the 6 in the hundredths place represents a value of 0.06 (or 6/100). So, when you divide 0.6 by 0.06, you get 10, showing that the 6 in the tenths place is ten times the value of the 6 in the hundredths place.

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Samuel earns $50.75 each week by working at a part-time job. He works the same amount of time each day for 5 weeks. What is the total amount of money Samuel earns during the 5-week period?

Answers

Answer:

$253.75

Step-by-step explanation:

He earns $50.75/week. Do 50.75 x 5 = $253.75