Solve for x, the triangles are similar

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

The equation m(x + n) = n​ si solved for x will be given as x = n / m (1 - m).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

m(x + n) = n​

By simplifying for x, then we have

x + n = n / m

     x = n / m - n

     x = (n - mn) / m

     x = n / m (1 - m)

More about the linear system link is given below.

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Answer:X= 6X-14

Step-by-step explanation:

Answer:

Ellie's age is 41, Edna's age is 40, Elsa's age is 42

Step-by-step explanation:

Let Ellie's age be x. Because they're consecutive integers, Edna's age is x-1 and Elsa's age is x+1. Therefore, 3x=123, x=41, so Ellie's age is 41, Edna's age is 40, Elsa's age is 42

Answer:

Edna is 40, Ellie is 41 and Elsa is 42.

Step-by-step explanation:

let Edna be m years old

m - Edna

m+1 - Ellie

m+2 - Elsa

m+m+1+m+2=123

Collect like terms

3m+3=123

3m=123-3

3m=120

Divide through by 3

m=40

Therefore, Edna is m=40 years old

Ellie=m+1=41 years old

Elsa=m+2=42 years old.

Answer:

f(2) =  Unidentified

Step-by-step explanation:

f(2) = ((2) +4)^2/(2)^2+2(2)-8

We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.

Answer: Bruce's speed is 3.75 mph(miles per hour).

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Domain -5 range 5 ,...............

Answer:

ehhh Pfouto math ni

dali raka AA yooo

Answer:

As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200.

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex]•[tex]\sqrt{200}[/tex]

A = 200 units²

factor of 7a²b, 14abc

7a²b, 14abc= 7ab

Answer:

10

Step-by-step explanation:

each tick mark is worth 5

there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.

Answer:

Answer: C.

Step-by-step explanation:

the term laissez faire refers to the economic policy of letting owners of industry and business set working conditions without interference

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

Answer:

boom bam ba boom bam ba

Answer: -3/4

Step-by-step explanation:

The y value is decreasing by -0.75

-3.75 - 0.75 = -4.5

-4.5 - 0.75 = -5.25

-5.25 - 0.75 = -6

ect.

-0.75 in fraction form is -3/4

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

The solution of the system of equation is (6, 13) and (1, 3).

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 =  x² - 5x + 7

x² - 5x + 7 - 2x  - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

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Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Answer:

27.8%

Step-by-step explanation:

[tex]\frac{32.5}{45} =0.722[/tex]

0.722 = 72.2%

The % reduction is:

(100-72.2)% = 27.8%

Hope this helps

Answer:

360 people

Step-by-step explanation:

[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]

Hope this helped! :)

Answer:

Step-by-step explanation:

Answer:

(10,8)

Step-by-step explanation:

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Answer:

the first number is 75 and the second number is 100

================================================

Work Shown:

m = 1 is the given slope

The point (x,y) = (4,2) is on the line

Use slope intercept form to find the y intercept

y = mx+b

2 = 1*4 + b

2 = 4 + b

2-4 = b

-2 = b

b = -2 is the y intercept

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

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Answer: 1260 books

Step-by-step explanation:

2/5=0.4

19000x0.4=7600

12500x0.4=5000

7600+5000=12600

1/10=0.1

12600x0.1 = 1260

/Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

Answer:

3

Step-by-step explanation:

Positive 5 minus 2 positive its just simple subtraction.