An angle measures 64° more than the measure of a complementary angle. What is the measure of each angle?

Answers

Answer 1

Answer: Complementary angles are 90 degrees,so if the angle is 64 degrees more,you just only have to add 90+64=154.

The measure of the angle is 154 degrees

Hope i helped.

Remember:complimentary angles add up to 90 while supplementary angles add up to 180.

Answer 2

Answer:

Final answer:

The two angles are 13 degrees and 77 degrees respectively. Since they are complementary, they add together to make a total of 90 degrees.

Explanation:

In this question, we are seeking the measure of two angles. These angles are complementary, meaning together they add up to 90 degrees. Let's denote the first angle as 'x' and the second angle (which is 64 degrees more than the first) as 'x+64'.

Since they are complementary, this indicates that:

x + (x + 64) = 90

This simplifies into:

2x + 64 = 90

We can then subtract 64 from both sides, giving:

2x = 90 - 64, so 2x = 26

Therefore, if we divide both sides by 2 to isolate 'x', we get:

x = 13

So, the first angle measures 13 degrees. The second angle, as specified in the question, is 64 more than the first angle, so it measures:

x + 64 = 13 + 64 = 77 degrees

Result:

The first angle measures 13 degrees and the second angle measures 77 degrees.

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A store has a sale on books. The price is $17.55 for one book, $16.70 each for 2 books, $15.85 each for 3 books, and $15 each for 4 books. If this pattern continues, how much per book will it cost to buy 7 books

Answers

The cost for each book will be $\boxed{\$ 12.45}$ if the person buy 7 books.

Further explanation:

The arithmetic sequence can be expressed as follows,

${a_1}, {a_2}, {a_3}$ ......

Here, $a{\text{ or }}{a_1}$ represents the first term, ${a_2}$ represents the second term, and so on.

The common difference “d” can be obtained as follows,

$\boxed{d = {a_2} - {a_1}}$

The nth term can be obtained as follows,

$\boxed{{a_n} = a + \left( {n - 1} \right)d}$

Explanation:

The cost of a book is $\$ 17.55.$

The cost of a book is $\$ 16.70$ if the person buys 2 books.

The cost of a book is $\$ 15.85$ if the person buys 3 books.

The cost of a book is $\$ 15.00$ if the person buys 4 books.

The sequence is $\$ 17.55, \$ 16.70, \$ 15.85, \$ 15.00.$

The first term is $\$ 17.55,$ the second term is $\$ 16.70.$

The common difference “d” can be obtained as follows,

$\begin{aligned}d&={a_2} - {a_1}\n&=16.70 - 17.55\n&=- 0.85\n\end{aligned}$

The cost for each book if the person buys 7 books can be obtained as follows,

$\begin{aligned}{a_6}&= 17.55 + \left( {7 - 1} \right)\left( { - 0.85} \right)\n&= 17.55 + 6\left({ - 0.85} \right)\n&= 17.55 - 5.1\n&=\$12.45\n\end{aligned}$

The cost for each book will be $\boxed{\$ 12.45}$ if the person buy 7 books.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic Sequence

Keywords: Store, books, price, $17.55, 2 books, 3 books each cost $16.40, pattern continues, cost, 7 books.

1 book is 17.55
2 books is 16.70
3 books is 15.85
4 books is 15
5 books is 4.15
6 books is 4.30
7 books is (3.55)

one sixth of thirty six hundredths is less than two tenths less than four write as inequality if closed write true or false

Answers

The solution is 0.06 < 0.2 < 4

The inequality equation is 0.06 < 0.2 < 4 and is True

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

A = one sixth of thirty six hundredths is less than two tenths less than four

Substituting the values in the equation , we get

One sixth of thirty six hundredths = ( 1/6 ) ( 36/100 )

One sixth of thirty six hundredths = ( 6/100 ) = 0.06

And ,

Two tenths = ( 2/10 ) = 0.2

So , the inequality equation is

0.06 < 0.2 < 4

The equation satisfies the relation

Hence , the inequality equation is 0.06 < 0.2 < 4

To learn more about inequality equations click :

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(1/6)(36/100)<4 - (2/10)
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Answers

63 is a composite number. b

Answer: A

The number 63 is a prime number, because it only has two factors, which are 1 and 62 itself. Option A is the best answer to the question.

Hope this helps!

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Answers

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