What is the second transformation

What two measurement could make up a complementary angle when one angle is 8 degrees more than the other?

Firdavs [7]

Complimentary angles add up to 90 degrees

x + y = 90
x = y + 8

y + 8 + y = 90
2y + 8 = 90
2y = 90 - 8
2y = 82
y = 82/2
y = 41

x = y + 8
x = 41 + 8
x = 49

so ur angles are : 41 and 49

7 0

3 years ago

Find the missing side length leave your answers as radicals in the simplest form.

ira [324]

Answer:

Part 1) $x=\frac{10\sqrt{3}}{3}\ units$

Part 2) $y=5\ units$

Step-by-step explanation:

step 1

Find the value of x

In the right triangle of the figure

$sin(30^o)=\frac{(5\sqrt{3}/3)}{x}$ ---> opposite side angle of 30 degrees divided by the hypotenuse

Remember that

$sin(30^o)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{(5\sqrt{3}/3)}{x}$

solve for x

$x=\frac{5\sqrt{3}}{3}(2)$

$x=\frac{10\sqrt{3}}{3}\ units$

step 2

Find the value of y

In the right triangle of the figure

$cos(30^o)=\frac{y}{x}$ ---> adjacent side angle of 30 degrees divided by the hypotenuse

we have

$x=\frac{10\sqrt{3}}{3}\ units$

$cos(30^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{y}{\frac{10\sqrt{3}}{3}}$

$y=(\frac{\sqrt{3}}{2})(\frac{10\sqrt{3}}{3})$

$y=5\ units$

4 0

3 years ago

Complete the remainder of the table for the given function rule.

kozerog [31]

Answer:

following the (x,y) coordinate system,

(0,4) ; (1,1) ; (2,-2)

Step-by-step explanation:

youre given the value of the x variable in the table, so all you need to do is substitute x and follow pedmas!! hope this helps<3

5 0

1 year ago

Stacy has a spinner and a number cube after spinning and rolling the number cube she will add two number what is the probability

galina1969 [7]

Complete question :

Stacy has a spinner (1 - 4) and a number cube (1 - 6) after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4

Answer:

5 /24

Step-by-step explanation:

The sample space for the sun of the outcome of the spinner and rolled number cube ;

Sample space = total possible outcomes = 6 * 4 = 24

Required outcome = sum equals 3 or 4 = 5

P(obtaining a sum of 3 or 4) = required outcome / Total possible outcomes

P(obtaining a sum of 3 or 4) = 5 /24

7 0

2 years ago

Please help i can't understand this

ololo11 [35]

9514 1404 393

Answer:

left-to-right

subtract 2y
distribute 5
add 2y
divide by 25

Step-by-step explanation:

[There's a lot to read here. If you read it, maybe you'll have a better understanding.]

This is asking you the first step required to solve each of the equations.

The general process of solving an equation involves performing operations that result in the variable of interest being on one side of the equal sign (by itself), and everything else being on the other side. When variable and constant terms are mixed, we generally want to remove the variable term.

The underlying rule for all of this is "whatever is done to one side of the equation must also be done to the other side." The exceptions are simplification and substitution.

"Inverse" operations are of use in this process. That is why you are taught about the "additive inverse" (negative) of a number, and the "multiplicative inverse" (reciprocal) of a number. Adding the additive inverse results in the additive identity element (0). Similarly, multiplying by the multiplicative inverse results in the multiplicative identity element (1). Adding 0 or multiplying by 1 leaves only the original value.

__

With this in mind, we can look at the given equations to see what is needed to solve them.

2 +2y = y

We see that the left side of the equation has both a constant term and a variable term. To remove the variable term we add its additive inverse: (-2y). Adding a negative value is the same as subtracting a positive value. That is, we can describe what we want to do as "subtract 2y from both sides".

When we do that, the result is ...

2 +2y -2y = y -2y . . . . . here, we show the subtraction

2 = -y . . . . . . . . . . . . . and this is the result of simplifying that.

Notice the y term is now on one side of the equal sign and the constant is on the other side. We are one step closer to the solution, which is the whole point.

__

5(y -4) = 2y

This equation has parentheses. It often works well as a first step to eliminate the parentheses, generally using the distributive property. That is, we "distribute 5".

When we do that, the result is ...

5(y) -5(4) = 2y . . . . . . . . here, we show the distribution

5y -20 = 2y . . . . . . . and this is the result of simplifying that

This puts us one step closer to the solution, which is the whole point.

__

5y = 10 -2y

Here, the unwanted variable term is -2y on the right side of the equation. To remove it, we add 2y to both sides.

When we do that, the result is ...

5y +2y = 10 -2y +2y . . . . . . . showing the addition of 2y

7y = 10 . . . . . . . . . . . . . . . simplified

This puts us one step closer to the solution.

__

5 = 25y

This equation has the variable term and the constant term already separated. However, there is a coefficient on the variable term that is not equal to 1. We want to make that coefficient be 1. To do that, we multiply it by its multiplicative inverse: 1/25. That is, we divide both sides by 25.

When we do that, the result is ...

5/25 = 25y/25 . . . . . . showing division by 25

1/5 = y . . . . . . . . . simplified (and the fraction reduced)

This gives us the solution. There are no more steps required.

6 0

2 years ago