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Irina18 [472]
2 years ago
9

Help please with tis math problem im in 8th grade

Mathematics
1 answer:
siniylev [52]2 years ago
5 0
A (verdadeiro)
e(verdadeiro)
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Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th
Arturiano [62]

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

5 0
2 years ago
Someone please help!!!!!
Nadya [2.5K]

Answer:

144 people were originally at the party.

Step-by-step explanation:

18 boys is one fifth of the second boys population, so the second population is 18x9 = 162. The original population would be 162-18, which equals 144.

6 0
3 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
Which expression is equivalent to a^m divide a^n?(20points)
Citrus2011 [14]
<h3><u>Answer</u> :</h3>

\bigstar\:\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}

<h3><u>Learn More</u> :</h3>

\dag\sf\:\:a^m\times a^n=a^{m+n}

\dag\sf\:\:\dfrac{a^m}{a^n}=a^{m-n}=\dfrac{1}{a^{n-m}}

\dag\sf\:\:a^{-m}=\dfrac{1}{a^m}

\dag\sf\:\:(a^{m})^n=a^{mn}

\dag\sf\:\:a^1=a

\dag\sf\:\:a^0=1

\dag\sf\:\:\sqrt[n]{a^m}=a^{\frac{m}{n}}

6 0
3 years ago
Z=7f/r+4 , solve for r
lora16 [44]

Answer:

              7f

     r = -----------  -  4

                z

Step-by-step explanation:

I will assume that you meant:

         7f

z = ------------

        r + 4

Solve for r.  Start by interchanging z and (r + 4):

               7f

r + 4 = -----------

                z

Now subtract 4 from both sides.  This isolates r:

              7f

     r = ----------- - 4

                z

3 0
3 years ago
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