∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.

Answer:

(2,4)

Step-by-step explanation:

The solution of the equation 5 -2 (4a + 1) + 3a = 13 is 2/3.

An equation is an expression that indicates the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the equation as follows;

5 -2 (4a + 1) + 3a = 13

Therefore, solving the equation

3(4a+1)+3a=13

12a+3+3a=13

15a+3=13

15a=10

a=2/3

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Answer:

Another term for dual enrollment is: Concurrent enrollment.

Step-by-step explanation:

Concurrent enrollment or dual enrollment are those programs where students gets enrolled in two schools simultaneously.

There are many types of dual enrollment programs available for students like studying in high school students along with taking college classes etc.

Answer:

The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Final answer:

The solution to the equation 8x-2/9 = 2/1 is obtained by multiplying both sides by 9, adding 2 to both sides, dividing by 72, and simplifying the fraction to get x = 5/18.

Explanation:

To solve the equation 8x-2/9 = 2/1, we first want to isolate the variable x. Here are the steps to do this:

Multiply both sides of the equation by 9 to eliminate the denominator on the left side, which gives us 72x - 2 = 18.

Add 2 to both sides to get 72x = 20.

Divide both sides by 72 to solve for x, resulting in x = 20/72.

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. The solution in simplest form is x = 5/18.

Answer:

Option C is correct

[tex]x^2+x = 306[/tex]

Step-by-step explanation:

Let the consecutive page number be  x and x+1

As per the statement:

A book is opened, and the PRODUCT of the two visible page numbers is found to be 306.

" PRODUCT of the two visible page numbers" translated to x(x+1)

then;

[tex]x(x+1) = 306[/tex]

Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

then;

[tex]x^2+x = 306[/tex]

Therefore, the equation which correctly represents this situation is [tex]x^2+x = 306[/tex]

The width of the bunker at ground level is 14.58 inches.

The x-axis is the ground level, so the y-axis must be the scale for the length. Using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground-level width.

The width of the bunker at ground level can be found by substituting x = 0 into the equation y = -5/216(x-72)(x+72).

This equation represents a quadratic function, which means it is a parabola.

By substituting x = 0, we get y = -5/216(-72)(72)

= 14.58 inches.

To find the probability that all three randomly selected households watched a special TV show when 38.2% of all households watched it, you multiply the probability for one household by itself three times, resulting in approximately 0.055 or 5.5%.

The question asks about calculating the probability that all three randomly selected US TV households watched a special television show, given that 38.2% of all US TV households viewed it. To find this probability, we use the rule of independent events since the viewing status of one household is assumed to not affect another. The probability that all three households viewed this show can be calculated by multiplying the probability of one household viewing the show three times.

The calculation would look like this:
0.382 (the probability one household watched the show) x 0.382 x 0.382 = 0.055 (approximately).

This is the probability that all three households viewed the special show.

The group rents 11 one-person tubes and 4 cooler tubes and the two system of equations are:

x + y = 15

20x + 12.5y = 270

And the solution: x = 11, y = 4.

Define Variables:

x = number of one-person tubes rented

y = number of cooler tubes rented

Translate information into equations:

Total tubes: The group rents a total of 15 tubes. Translate this into an equation:

x + y = 15

Cost: Each one-person tube costs $20 and each cooler tube costs $12.50. Use these known costs to represent the total cost:

20x + 12.5y = 270

System of Equations:

x + y = 15

20x + 12.5y = 270

Solving for x and y:

Elimination

Multiply the first equation by -12.5:

-12.5x - 12.5y = -187.5

Add the top and bottom equations:

7.5x = 82.5

Divide both sides by 7.5:

x = 11

Substitute the value of x back into the first equation to solve for y:

11 + y = 15

y = 4

The group rents 11 one-person tubes and 4 cooler tubes.

Therefore, the two system of equations are:

x + y = 15

20x + 12.5y = 270

And the solution: x = 11, y = 4.

Complete question:

A company that offers tubing trips down a river rents tubes for a person to use and “cooler” tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use x to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. a one person tube costs $20 and a cooler tube costs $12.50 How many of each type of tube does the group rent? what are the two system of equations?

The system of equations representing the situation is x + y = 15 and 20x + 12.50y = 270. The group rents 11 one-person tubes and 4 cooler tubes.

Let's denote:

x as the number of one-person tubes rented

y as the number of cooler tubes rented

Given:

The cost of renting one-person tube is $20

The cost of renting a cooler tube is $12.50

The total amount spent by the group is $270

We can set up the following system of linear equations to represent the situation:

The total number of tubes rented:

x (number of one-person tubes) + y (number of cooler tubes) = 15 (total tubes)

The total cost spent:

20x (cost of one-person tube) + 12.50y (cost of cooler tube) = 270

So, the system of equations is:

x + y = 15

20x + 12.50y = 270

To find the number of each type of tube rented, we can solve this system of equations.

Now, let's solve this system of equations:

From equation 1, we can express x in terms of y:

x = 15 - y

Substitute this expression for x into equation 2:

20(15 - y) + 12.50y = 270

Now, solve for y:

300 - 20y + 12.50y = 270

-7.50y = -30

y = 4

Now that we have found y, let's substitute it back into equation 1 to find x:

x = 15 - 4

x = 11

So, the group rents 11 one-person tubes and 4 cooler tubes.

Complete Question:

A company that offers tubing trips down a river rents tubes for a person to use and "cooler' tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Usex to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. How many of each type of tube does the group rent?

1 Person Tube = $20, Cooler Tube = $12.50.

The system of equations is ___ and ___.

The group rents ___ one-person tubes and _____ cooler tubes.

Among the given options, the trail which is shorter than 7/12 is 3/8

From the question, we are to determine which trail is shorter than 7/12

To determine which of the given fractions is shorter than 7/12, we will express all the fractions in a common denominator

The given fraction are

3/8, 5/6, 3/4, 2/3

Using a common denominator of 48,

7/12 = 28/48

For the given options,

3/8 = 18/48

5/6 = 40/48

3/4 = 36/48

2/3 = 32/ 48

Now, we will compare their numerators. The fraction which has a numerator that is smaller than the numerator in 28/48 is the fraction smaller than 7/12.

Among the fraction, 18 is the smallest of the numerators and it is lesser than 28.

18/48 corresponds to 3/8

Hence, the trail which is shorter than 7/12 is 3/8

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Answer:

It will be A. (2)

Step-by-step explanation:

Because its the only answer that makes sense plus i got it right :3

Answer:

cosF = [tex]\frac{3}{5}[/tex] is the answer.

Step-by-step explanation:

In a right angle triangle cosine of any angle = [tex]\frac{Base}{Hypotenuse}[/tex]

In the given triangle base or adjacent side of the angle is = 6

Hypotenuse given as 10

So by putting the values of hypotenuse and base in the formula

∠F = [tex]\frac{6}{10}=\frac{3}{5}[/tex]

Therefore cosine of angle [tex]cosF=\frac{3}{5}[/tex] is the answer.

The expression for the total number of miles Maria drove in two weeks is 231 + k miles.

In order to find the total number of miles Maria drove in two weeks, we first need to find the sum of the miles she drove last week and the miles she drove this week.

Last week, Maria drove 231 miles.

This week, she drove k miles.

Therefore, the expression for the total number of miles she drove in two weeks is 231 + k miles.

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Answer:

1= 45
2= 135

Step-by-step explanation:

(did it on usatp)

Answer:

Let's approach this step by step.

First, reflect D across line l.

From there, reflect that image across line m.

Your final image should be the letter D.

Check out the image provided.

Hope this helped someone!

Step-by-step explanation:

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