what is 9 33/50 as a percent and decimal

When a transversal cuts two parallel lines, 8 angles are created.

When two lines do not cross one another, they are said to be parallel. In addition, parallel lines are two lines that cross each other at infinity.

A transversal line is one that crosses two other lines at two different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.

Corresponding angles are those that are created when two parallel lines and a transversal intersect, also known as matching corners or corresponding corners.

∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

The pair of angles that are created on the outer side of two lines but on the other side of the transversal are known as alternate exterior angles.

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

When a transversal cuts two parallel lines, 8 angles are created.

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∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

It has one solution which is X=5

Hope this helps

Have a great day/night

Feel free to ask any questions

Answer:

Step-by-step explanation:

Those are the special triangles 45-45-90 and 30-60-90

6. y = 5 and x = 5sqrt(2)

7. y= 8 and x = 8sqrt(3)

8. x = 10sqrt(2)

Answer:

I believe it is an acute triangle but im not 100% sure

Step-by-step explanation:

The triangle with sides 21 , 28 and 35 is a right angle triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 21

The height of the triangle AB = 28

The hypotenuse of the triangle is AC = 35

And , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

35² = 21² + 28²

On simplifying the equation , we get

1225 = 441 + 784

1225 = 1225

Hence , the triangle is a right angle triangle

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Answer:

The answer is c. 81.76%

Answer:

2,794,230  seconds.

Step-by-step explanation:

186,282 miles per second times 15= 2,794,230  

hope this helps :))

Answer:

14753565840 ft or 2794235.95455 miles

Step-by-step explanation:

so light travels in one second 983,571,056 feet multiply it by 15 you get 14753565840 ft

if you want miles divide 14753565840 by 5280 which is 2794235.95455 miles

Mike has under 1/4 of a tank of gas, and he decides to fill up his gas tank. his gas tank holds 16 gallons. the gas cost $3.59 per gallon. It will cost Mike $43.08 to fill up his car.

To help you with your question, we first need to determine the amount of gas Mike needs to fill up his car. Since he has less than 1/4 of a tank, let's assume he has exactly 1/4 of a tank for simplicity.
Mike's car has a 16-gallon gas tank, so:
1/4 * 16 gallons = 4 gallons already in the tank.
To fill up the tank, Mike needs to add:
16 gallons - 4 gallons = 12 gallons.
The gas costs $3.59 per gallon, so to find the total cost:
12 gallons * $3.59 = $43.08.
Approximately, it will cost Mike $43.08 to fill up his car.

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If an acute angle increases, then its supplement decreases.

To give you a short quick answer, the supplement is going to have to decrease or get smaller.

Example

Suppose the acute angle is 10 (anything under 90 will do).

Then the supplement is going to be 180 - 10 = 170

Now suppose the acute angle increase to 50 degrees.

That means the supplement will go from 180 - 50 = 130

Conclusion

As the acute angle gets bigger, the supplement gets smaller. This is an important idea to get clear. Bigger and Smaller or More or Less can be ugly little words, so anytime you come across them, pay attention. It will make your life in science so much easier

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Answer:

Step-by-step explanation:

Area = πr²

πr² = 33.26

r = √(33.25/π) ≈ 3.25 yards

Answer: 15cm by 20cm

3cm by 4cm

9cm by 12cm

Step-by-step explanation:

From the question, we are informed that a 12 cm by 16 cm painting hangs in a museum. We are given several options and told to choose the paintings' dimensions that are proportional to the original painting. This will be:

12cm by 16cm when divided by 4 gives 3cm by 4cm. This means that we have to look out for the options that are in the ratio 3:4.

A. 6 cm by 12 cm

6cm by 12cm reduced to lowest term gives 1:2

B. 15 cm by 20 cm

15cm by 20cm reduced to lowest term gives 3:4

C. 3 cm by 4 cm

D.6 cm by 9 cm

6cm by 9cm reduced to lowest term gives 2:3.

E. 9 cm by 12 cm

9cm by 12cm reduced to lowest term gives 3:4.

Therefore the correct options are:

15cm by 20cm

3cm by 4cm

9cm by 12cm

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).

The appropriate choice is ...

... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Answer:

hey its 8

Step-by-step explanation:

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Line u and line v are perpendicular lines by the relation of their slopes.

Slope of a line is the ratio of the difference of the y coordinates of two points to the x coordinates of those points. Slope is commonly denoted by the letter 'm'.

If a line passes through the points (x₁, y₁) and (x₂, y₂), then slope of the line,

m = (y₂ - y₁) / (x₂ - x₁)

Slopes of two lines, m₁ and m₂, are equal if they are parallel ⇒ m₁ = m₂.

Slopes of two lines, if the lines are perpendicular have the relation,

m₁ × m₂ = -1.

First let's find the slopes of the given lines.

Let m₁ be the slope of line u and m₂ be the slope of line v.

Line u passes through (7, 2) and (10, 10).

m₁ = (10 - 2) / (10 - 7) = 8/3

Line v passes through (10, 8) and (2, 11).

m₂ = (11 - 8) / (2 - 10) = 3/(-8)

Slopes are not equal, so they are not parallel.

m₁ × m₂ = \(\frac{8}{3}\) × \(\frac{3}{-8}\) = -1.

So the lines are perpendicular.

Hence the given lines u and v are perpendicular.

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Answer:

Six is the most groups she can make

Step-by-step explanation:

you have six girl and 12 boys if you can only have the same number of boys and the same number of girls then you have 1 girl and 1 boy in each group and they only six girl so you can only have six group.

Answer:

6 groups because she can put 1 girl and 1 boy in a group and get 6 groups which is the maximum number of groups she can get.

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Que?

Step-by-step explanation:

I don't speak Español

1. The variable is qualitative or quantitative is the variable is qualitative because it is an attribute characteristic (option d). 2. The quantitative variable is discrete or continuous is the variable is discrete because it is countable (option d).

The variable "Hair color" is qualitative because it represents an attribute characteristic rather than a numerical measure. It refers to the different categories or qualities of hair color, such as blonde, brown, black, or red. It is not based on a numerical scale or measurement. Therefore, the correct answer is D) The variable is qualitative because it is an attribute characteristic.

The variable "Number of members present at a meeting" is discrete because it is countable and takes on distinct, separate values. It cannot take on any value between the integers, and there are no fractions or decimals involved. The number of members present can only be whole numbers, such as 0, 1, 2, 3, and so on. Therefore, the correct answer is D) The variable is discrete because it is countable.

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Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

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The evaluated integral is \(\frac{1}{4}e^4 - \frac{3}{4}\).Since the lower limit is greater than the upper limit, we need to reverse the order of integration.

To evaluate the given integral \(\int_{1}^{0} \int_{2}^{2y} e^{x^2} \, dx \, dy\), we will reverse the order of integration.

First, let's analyze the limits of integration. The inner integral is with respect to \(x\) and it goes from \(2\) to \(2y\). The outer integral is with respect to \(y\) and it goes from \(1\) to \(0\). However, since the lower limit is greater than the upper limit, we need to reverse the order of integration.

Let's start by writing the integral with the reversed order of integration:

\(\int_{0}^{1} \int_{2}^{2y} e^{x^2} \, dx \, dy\)

Now, we will evaluate the integral by integrating with respect to \(x\) first and then with respect to \(y\).

Integrating \(e^{x^2}\) with respect to \(x\) gives us \(e^{x^2}\).

Now, we will evaluate the inner integral:

\(\int_{2}^{2y} e^{x^2} \, dx = \left[e^{x^2}\right]_{2}^{2y} = e^{(2y)^2} - e^{2^2} = e^{4y^2} - e^4\)

Next, we integrate the resulting expression with respect to \(y\):

\(\int_{0}^{1} (e^{4y^2} - e^4) \, dy\)

Integrating \(e^{4y^2} - e^4\) with respect to \(y\) gives us \(\frac{1}{4}e^{4y^2} - e^4y\).

Now, we evaluate the outer integral:

\(\left[\frac{1}{4}e^{4y^2} - e^4y\right]_{0}^{1}\)

Plugging in the limits of integration, we get:

\(\frac{1}{4}e^{4(1)^2} - e^4(1) - \left(\frac{1}{4}e^{4(0)^2} - e^4(0)\right)\)

Simplifying further, we have:

\(\frac{1}{4}e^4 - e^4 - \left(\frac{1}{4} - 0\right)\)

Which simplifies to:

\(\frac{1}{4}e^4 - \frac{3}{4}\)

Therefore, the evaluated integral is \(\frac{1}{4}e^4 - \frac{3}{4}\).

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The company will use approximately 7 trucks.

to separate into two or more parts or pieces. : to separate into classes or categories. : cleave entry 2, part.

To calculate the number of trucks needed, divide the total number of bicycles by the number of bicycles that can fit in each truck:

328 bicycles / 50 bicycles per truck = 6.56 trucks.

Since you can't have a fraction of a truck, the company will need to round up to the nearest whole number. Therefore, the company will use 7 trucks to ship the 328 bicycles across the country.

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Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

A mathematical equation is an expression with equality on both sides of the equal to sign that connects two other expressions. Think about the equation 3y = 16 as an illustration.

To find the value of k, we need to use the information given to solve for k in the equation T = Ta + (To - Ta) * \(e^(-kt)\), where T is the temperature of the can of soda, Ta is the ambient temperature (73°F), To is the temperature of the refrigerator (39°F), and t is the time elapsed in minutes.

We know that after 15 minutes, the temperature of the can of soda reaches 61°F, so we can substitute these values into the equation and solve for k:

61 = 73 + (39 - 73) * \(e^(-k * 15)\)

-12 = -34 * \(e^(-15k)\)

0.3529 =\(e^(15k)\)

㏒(0.3529) = 15k

k = -0.0301

So k is approximately -0.0301, rounded to the nearest thousandth.

To find the temperature of the can of soda after 115 minutes, we can use the same equation with the value of k we just found:

T = 73 + (39 - 73) * \(e^(-0.0301 * 115)\)

T = 73 + (-34) * \(e^(-3.47)\)

T = 73 + (-34) * 0.54

T = 54.62

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

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cost = $187.60

20% down

4 months of $39.40

1.- Calculate the 20%

187,6 ------------------- 100

x -------------------- 20

x = (20 x 187.6) / 100

x = 3752/100

x = 37.52

2.- Calculate the final price

Price paid = 37.52 + 4(39.40)

Price paid = 37.52 + 157.6

= $195.12

2.- Finance charge

= 195.12 - 37.52

= $157.6

Answer:

1) m = -1

2) m = -8/3

Step-by-step explanation:

The slope is the number in front of x. If there is no number then it is one. If x is positive it will be a positive one and if x is negative it will be a negative one.

Use the slope-intercept form to find the slope.

The function that models the given situation is; f(x) = 109(0.935)^(t) + 72

We are given that;

Temperature of hot tea = 181°F

Room temperature = 72°F

Rate of the hot tea cooling on a desk in the room = 6.5% every minute

We know that an exponential function is of the form of;

y = A(r)^(x)

where;

A is the initial value.

r is the rate of increase/decrease in decimals.

Thus, our initial value is;

A = 181 - 72 = 109

The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935

Since the room temperature is 72 degrees Fahrenheit, then the function is;

f(x) = 109(0.935)^(t) + 72

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Answer: 16

Step-by-step explanation:

Answer:

-0.15

Step-by-step explanation:

\(\frac{y{2}- y{1} }{x{2}-x{1} }\\\)      is the formula

now let's subsitute into the formula with our points (6,10) and (-20,14)

\(\frac{14-10=4}{-20-6=-26}\)

now we have the fraction \(\frac{4}{-26}\)     or -0.15

The sum of the numbers is  (2x + z) + (2y + 10)i. If the difference of two complex number is -10i and the product is 34.

Let the two complex numbers be x + yi and z + wi, where x, y, z and w are real numbers.

We are given that their product is 34, thus

(x + yi) (z + wi) = 34

z(x + yi) + wi(x + yi) = 34 + 0i_____(1)

We are also given that their difference is -10i, thus

(x + yi) - (z + wi) = -10i

(x - z) + (y - w)i = 0 - 10i_____(2)

Simplifying equation (2), we get

x - z = 0 and y - w = -10

We are asked to find the sum of the numbers, thus

(x + yi) + (z + wi) = 2x + 2yi___(3)

We can simplify equation (1) as follows:

34z + wi = 34x + 34yi - wi - yi

We can substitute equation (2) into the above equation:

34z + wi = 34x + 34yi + yi - 10i

We can further simplify the above equation as:

34z + wi = 34x + 35yi - 10i

We can then use the fact that x - z = 0 to express one variable in terms of the other.

Solving for w in equation (2), we get:

w = y + 10

Thus, we can substitute w = y + 10 into equation (3) and simplify as follows:

(x + yi) + (z + (y + 10)i)

= 2x + 2yi + z + 10i

= (2x + z) + (2y + 10)i

The sum of the numbers is thus (2x + z) + (2y + 10)i.

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