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3 years ago

Which pair of angle measures satisfy the condition sin J = cos K?

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

Sin J = cos K
sin J = cos (90 - J)

So, K = 90 - J

Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.

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4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$

We are right!

So, $x=12$ .

6 0

3 years ago

Which of the following is not represented by the image below

love history [14]

Answer:

Line BD can't be represent by the image.

Explanation:

Point: Point is a dot or vertex of any figure or diagram. It represent by capital alphabet. So, B would be a point.

Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be line.

Ray: A ray is straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.

Line Segment: A line segement is straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.

Option 2 is correct.

6 0

2 years ago

2(3x + 1) - (x - 5) = 42

lbvjy [14]

Answer:

6x+2-1x+5=42

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Simplify (6x2 − 3 − 5x3) − (4x3 2x2 − 8). 9x3 − 4x2 − 5 −9x3 4x2 5 x3 − x2 − 13x3 −x3 x2 13x3.

Schach [20]

Like terms have the same variable and power. The simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

We know that to simplify an expression we need to add or subtract like terms, therefore,

$(6x^2- 3 - 5x^3) -(4x^3+2x^2 - 8)\\\\= 6x^2- 3 - 5x^3 -4x^3-2x^2 + 8\\\\= - 5x^3 -4x^3+6x^2-2x^2+8-3\\\\ = -9x^3+4x^2+5$

Hence, the simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

Learn more about Like Terms:

brainly.com/question/2513478

7 0

2 years ago

The line x - y = 5 passes through<br> (-5, 0)<br> (0, 5)<br> (0, -5)

neonofarm [45]

The line x - y = 5 passes through the point (0, -5)

3 0

3 years ago

Read 2 more answers