Donovan wanted to measure the height of his town's
courthouse. He measured the length of the building's
shadow on the ground. It reached 60 feet from the
courthouse. His eyes are 6 feet above the ground and he
stood exactly 5 feet from the end of the shadow. Using
similar triangles, find the height of the courthouse.​

Answer:

35+x=300

Step-by-step explanation:

35 more would be 35 +, and then I added x in as the "number", and since it all adds up to 300, there would be the =300.

(hope this helps :P)

Answer:

35.55-4.30=31.25

31.25/1.25= 25

total miles 25

Answer:

25

Step-by-step explanation:

sub 4.30          35.55 - 4.30 = 31.25

Divide 1.25      31.25/1.25 = 25

Final answer is 25

After dividing what you subtracted, you will successfully get your answer.

Answer:

(x + 3) - x(x² + 6x + 9)

= (x + 3) - x(x + 3)²

= (x + 3)[1 - x(x + 3)]

= (x + 3)(1 - x² - 3x)

Step-by-step explanation:

Answer:

[tex](x+3)(1-x^2-3x)[/tex]

Step-by-step explanation:

First, let's factor that quadratic on the right:

[tex]x^2+6x+9[/tex] happens to factor nicely into [tex](x+3)^2[/tex], and putting that into our expression gets us

[tex](x+3)-x(x+3)^2[/tex]

Factoring out an (x + 3) from each term, we get

[tex](x+3)[1-x(x+3)][/tex]

Simplifying that expression on the right:

[tex](x+3)(1-x^2-3x)[/tex]

We can't factor that right-side expression any more, so we can just leave it like that!

Answer:

-6(x + 3)

= -6x - 18

hope it helps you

Answer:

$3.16

Step-by-step explanation:

Answer:

P(0)=2

Step-by-step explanation:

Answer:

No, its the second answer

Step-by-step explanation:

The independent variable is what can be controlled, the seller cannot control how many sales the bikes make. The dependent variable is what changes BECAUSE of the independent variable.

Answer:

Yes it is correct

Step-by-step explanation:

The sales depend on the number of bicycles sold.

9514 1404 393

Answer:

Step-by-step explanation:

In any isosceles triangle, the base angles have the same measure:

  y° = 52°

In any triangle the sum of angles is 180°.

  52° +(14x +6)° +52° = 180°

  14x = 70 . . . . . . . . subtract 110°, divide by °

  x = 70/14 = 5 . . . . divide by the coefficient of x

The values of x and y are 5 and 52, respectively.

Answer:

The entered points belong to a vertical line. There is no slope.

Equation: x = -5.

Step-by-step explanation:

Answer:

slope = infinite

Step-by-step explanation:

if a line passes through (-5, 0) and (-5, 5), then it's running straight up and down – the dead giveaway is that fact that the x-coordinates are the same.

by definition, the slope of a vertical line is infinite.

Answer:

(

2

z

−

1

)

Step-by-step explanation:

-56z:28

z equal to 28/56

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 12, y = 60.

=> (60) = (12)k, k = 5.

Therefore when x = 20,

y = kx = (5)(20) = 100.

Answer:

80 gifts

Step-by-step explanation:

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sister have?

Let the Total gifts that her sister has be represented by x

Hence:

15% of x = 12

15/100 × x = 12

15x /100 = 12

Cross Multiply

15x = 100 × 12

15x = 1200

x = 1200/15

x = 80 gifts

Hence, the total gifts her sister has is 80 gifts

Answer:

80 total gifts

Step-by-step explanation:

Step one:

given data

Maddison hid 12 of her sister's birthday gifts

we are told that 12 gift is 15% of the total gifts

let the total gifts be x

so

=15/100*x= 12

=0.15x= 12

divide both sides by 0.15

x= 12/0.15

x=80 total gifts

Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88

6x - 44 = 88

    +44    +44

6x      =   132

÷6         ÷6

x  = 22

same with the second problem (exterior angles are equal):

equation:

15x + 6 = 9x + 54

       -6              -6

15x    = 9x + 48

-9x      -9x

6x   =    48

÷6         ÷6

x   =   8

Hope this helped! :D

Answer:

1. x=22

2. x=8

Step-by-step explanation:

1. Opposite exterior angles are congruent, so 6x-44=88. You would add 44 to both sides, making the equation 6x=132, and then divide both sides by 6 to get your answer of x=22.

2. Again, opposite exterior angles are congruent, so 15x+6=9x+54. You would subtract 9x from both sides, making the equation 6x+6=54, then subtract 6 from both sides, making the equation 6x=48, and then divide both sides by 6 to get your answer of x=8.

(hope this helps!)

Answer:

No.

Step-by-step explanation:

We can try to simplify this by making sure the first equation has only the 5x on one side.

[tex]5x+9 =-29[/tex]

Subtract 9 from both sides.

[tex]5x = -38[/tex]

[tex]5x = -38[/tex] ≠ [tex]5x = -20[/tex]

They are not equal.

Answer: DOG, FNH, and EMI.

Step-by-step explanation: Each number on a phone corresponds to letters.

Answer:

17 calories

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Answer:

m=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

1--2=3/(0-1)

3/-1=-3

Answer:

No real solutions

Step-by-step explanation:

0=x^2+6x+13

Step 1: Subtract x^2 from both sides.

0−x^2=x^2+6x+13−x^2

−x^2=6x+13

Step 2: Subtract 6x from both sides.

−x^2−6x=6x+13−6x

−x^2−6x=13

Step 3: Since the coefficient of -x^2 is -1, divide both sides by -1.

−x^2−6x/−1 = 13/−1

x^2+6x=−13

Step 4: The coefficient of 6x is 6. Let b=6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x^2+6x+9=−13+9

x^2+6x+9=−4

Step 5: Factor left side.

(x+3^)2=−4

Step 6: Take square root.

x+3=±√−4

Step 7: Add -3 to both sides.

x+3+−3=−3±√−4

x=−3±√−4

Answer:

X(6, 1), Y(-4, 0), Z(-1, 3)

Step-by-step explanation:

When reflecting an image across the y-axis, (i.e, across a vertical line at the position x = 0), All you need to do is negate the x coordinate of each point, so:

(-6, 1) becomes (6, 1)

(4, 0) becomes (-4, 0)

(1, 3) becomes (-1, 3)

Answer:

(6,1) (-4,0) (-1,3)

Step-by-step explanation:

Answer:

12

Step-by-step explanation: Ryan played 12 songs because 9+3=12

Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

Given:;

Marked price of a fan = Rs. 1250.

Discount percent = 6%.

To find:

The selling price of the fan.

Solution:

We have,

Marked price of a fan = Rs. 1250.

Discount  percent= 6%.

So,

Selling price = Marked price  - Discount

[tex]S.P.=1250-\dfrac{6}{100}\times 1250[/tex]

[tex]S.P.=1250-75[/tex]

[tex]S.P.=1175[/tex]

Therefore, the selling price of the fan is Rs. 1175.

Answer:

343 : 729

Step-by-step explanation:

A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula [tex]A=6a^2[/tex], since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.

The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.

Answer:

343 : 729

Step-by-step explanation:

If the ratio of the sides of a cube = a : b , then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 49 : 81, then

ratio of sides = [tex]\sqrt{49}[/tex] : [tex]\sqrt{81}[/tex] = 7 : 9 , so

ratio of volumes = 7³ : 9³ = 343 : 729

Answer:

N = st

Step-by-step explanation:

N/s = t

so st = N

I would appreciate Brainliest

Answer:

The correct answer is B. N = st

Step-by-step explanation:

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

t = number of toothpicks received by each student

s = number of students

N = total number of students

2. Which equation can be used to find the total number of toothpicks, N, given out by the teacher for the project?

Total number of toothpicks for the project = number of toothpicks received by each student * number of students, replacing with the variables:

N = t * s = s * t

The correct answer is B. N = st