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Answer:

Co - interior angles of a parallelogram add up to 180 degrees

Step-by-step explanation:

Since UW and RT are parallel lines we can infer that if the QSR was flipped and joined to UVX it would create a parallelogram. Angle theorem states that co -interior angles of a parallelogram add up to 180 degrees.

Using properties of parallel line we can prove that

m ∠QSR + m ∠UVX =180°.

Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are complementary, others are congruent (equal).

Properties of Parallel Lines

The fundamental characteristics listed below make it simple to recognize parallel lines.

Given:

We have to prove that m ∠QSR+ m ∠UVX=180°.

Now, using parallel line property

<QSR = <SUV ( corresponding angle).........(1)

and, <SVU + <UVX = 180 (linear pair)

<QSR + <UVX = 180 ( from (1))

Learn more about parallel lines here:

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Answer:

each hamburger is $2.75

Step-by-step explanation:

We can solve for this system of equations where x are the burgers, and y are the drinks:

4x+3y=$14.75

5x+4y=$18.75

We need to multiply the first row by 4, and multiply the second row by -3 to be able to solve for x

Multiplying, we get:

16x+12y=$59

-15x-12y=$56.25

Now subtracting the top by the bottom, we are left with:

x=$2.75

Thus, each hamburger cost $2.75

side note, you can plug in x=$2.75 into either equation and solve for y to figure out what each drink costs :)

I know! It's kind if annoying tbh...

Answer:

Step-by-step explanation:

ab = 8 * 24

      = 192

Answer:

The answer is A trapezoid

Answer:

a) y=200x+450

b) y=200(8)+450 = $2050

c) 21 months

Step-by-step explanation:

a) y=200x+450

200 per month plus her initial deposit of 450

b) y=200(8)+450 = 2050

To see how much she'll have after 8 months, plug in 8 for x

c) 4500<200x+450

4050<200x

20.25<x

x>20.25, so after 21 months since 20.25 is more than 20 months you have to round up to 21

Answer:

The answer is = 13

Step-by-step explanation:

Hope it helped youuuuu

The daily rent is an illustration of a linear inequality.

The inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

The daily charge is given as:

[tex]\mathbf{Daily = 75.77}[/tex]

The rate is:

[tex]\mathbf{Rate = 0.07}[/tex]

Let the number of days be d.

So, the total charges is:

[tex]\mathbf{Total = Daily \times d + Rate \times Miles}[/tex]

This gives

[tex]\mathbf{Total = 75.77 \times d + 0.07\times 325}[/tex]

[tex]\mathbf{Total = 75.77 \times d + 22.75}[/tex]

From the question, we understand that he has at most $340 to spend.

At most means <=

So, we have:

[tex]\mathbf{75.77 \times d + 22.75 \le 340}[/tex]

[tex]\mathbf{75.77d + 22.75 \le 340}[/tex]

Rewrite as:

[tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Hence, the inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]

Read more about linear inequalities at:

https://brainly.com/question/11897796

Answer:

20 hours

Step-by-step explanation:

20 hours, since you have to find the remaining 80% of her dance time.

I thought of this as follows:

1/5 = 4

2/5 = 8

3/5 = 12

4/5 = 16

5/5 (100% of her dance time!) = 20 hours!

I hope this helped a bunch! Tell me if you need any further assistance...

( :

Answer:

k = 6

Step-by-step explanation:

What you do is use inverse operations

15 + 3 =18

18 divided by 3 = 6

k = 6

3(6) - 3 = 15

Answer:

-3=15k-3k

-3=12k

-3÷12=12k÷12

k=-3 over 12

Answer: D (y = 5x)

Explanation:

Read the question.

2.5 cups of food twice per day

Hence, y = 5x

Answer:

Given points= (0,2) (1,0)

0-2/1-0= -2/1

Slope= -2

Answer:

35

Step-by-step explanation:

Well if m<YVW = (12x-1) and x=3 then just plug in x

So,

m<YVW = (12(3)-1)

m<YVW = 36-1

m<YVW = 35

Answer:

4.22m.

Step-by-step explanation:

Using Pythagoras theorem:

7.5^2 = h^2 + 6.2^2

h^2 = 7.5^2 - 6.2^2

h^2 = 17.81

Height h= 4.22.

Answer:

No it doesnt because 6 does not equal 2

Answer:

yes I can solve it

Step-by-step explanation:

according to mid point theorem

2×13.8=n+6.7

n= 27.6-6.7

n=20.9

Answer:

x = 1

Step-by-step explanation:

Here is what you need to know:

f(x) represents the y-value.

The x in the parenthesis represents the x-value.

Another way to write f(x) = 1 is y = 1.

So now you are just finding the x-value for when y = 1. Looking at the graph, when y is 1 ( 1 on the y-axis), x has to be 1! This is because when you go up one, the only value that matches that point is 1!

Hope this helps :)

(sorry if my explanation was a bit confusing)

Answer:

406.2

Step-by-step explanation:

Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?

Let's solve!!

Given equation is 5/(x-3) - 4/(x+4) = 1/x

⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x

⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x

⇛ (x+32)/(x-3)(x+4) = 1/x

On applying cross multiplication then

⇛ x(x+32) = (x-3)(x+4)

⇛ x²+32x = x(x+4)-3(x+4)

⇛ x²+32x = x²+4x-3x-12

⇛ x²+32x = x²+x-12

⇛ x²+32x-x²-x = -12

⇛ (x²-x²)+(32x-x) = -12

⇛ 0+31x = -12

⇛ 31x = -12

⇛ x = -12/31

∴ x = -12/31

The value of x for the given problem -12/31

VERIFICATION:

Check

If x = -12/31 then LHS of the equation is

5/(x-3) - 4/(x+4)

⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]

⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]

⇛ 5/(-105/31) - 4/(112)/31

⇛ (5×-31)/105 - (4×31)/112

⇛ (-115/105)-(124/112)

⇛ (-31/21) - (31/28)

⇛ (-31)[(1/21)+(1/28)]

⇛ (-31)(21+28)/(21×28)

⇛ (-31×49)/(21×28)

⇛ (-31×7)/(21×4)

⇛-31/12

And RHS = 1/x

⇛ 1/(-12/31)

⇛ -31/12

⇛ LHS = RHS is true for x = -31/12

Step-by-step explanation:

-25 = -5/3u

-25.3u = -5

-75u = -5

u = -5/-75

u = 1/15

Answer:

-4 4/5 = - 24/5

1 1/3 = 4/3        

-(24/5) / (4/3) = -72 / 20 = -3 12/20 = -3 3/5

Using a calculator -(4 4/5) / (1 1/3) = -3 3/5

Answer:

36%

Step-by-step explanation:

47/132=36%

The = is means the equal sign with the ~ position

The percent of the students prefer superhero movies rounded to the nearest percent is; 36%

The table of this random survey of students when seen online tells us that;

Total number of students that prefer super hero movies = 47

Total Number of Students that prefer Comedy = 50

Total Number of Students that prefer drama = 35

Thus;

Total number of students surveyed = 47 + 50 + 35

Total number surveyed = 132

Thus;

Percent of the students that prefer superhero movies = 47/132 * 100%

Percent of the students that prefer superhero movies = 36%

Read more about percentages at; https://brainly.com/question/843074

Answer:

5/7

Step-by-step explanation:6x5 =30  7x6=42    =30/42divided by 6 =5/7

Answer:

dynamic character

Step-by-step explanation:

Answer:

this is a binomial, but its 2x^2-10x+8

Step-by-step explanation:

you use the distributive property

Answer:

  w = 28

  x = 18

Step-by-step explanation:

To make the triangles congruent, the hypotenuse and leg need to be the same length.

  5w +x -59 = -w +2x +91

  4w+4x -92 = 2x +2w

These two equations can be written in general form by subtracting the right-side expression from both sides.

  6w -x -150 = 0

  2w +2x -92 = 0

The second of these equations can be divided by 2 to give ...

  w +x -46 = 0

When that is added to the first equation, we have ...

  7w -196 = 0

  w -28 = 0

  w = 28

Using this in our simplified second equation, we have ...

  x = 46 -w = 46 -28

  x = 18

_____

Additional comment

These values of w and x make the side lengths ...

  UV = 2x -w +91 = 2(18) -28 +91 = 8 +91 = 99

  UT = 2x +2w = 92 . . . . from 2nd equation

Using the Pythagorean theorem, this makes ...

  TV = √(99^2 -92^2) = √1337 ≈ 36.57

Answer:

That's quantum mathematics