Tall hedges are shading a rose garden. At the time the gardener wants the garden to be in sunlight, a four- foot vertical pole casts a five foot shadow. Suppose that we want to cut the hedges back only to a height of 8 feet. How far must the edge of the garden be from the base of the hedge if we do not want any part of the rose garden to be in the shade?

Given :

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

Which means :

[tex] = \tt92 + y = 6y - 28[/tex]

[tex] =\tt 92 = 6y - 28 - y[/tex]

[tex] =\tt 92 = 5y - 28[/tex]

[tex] = \tt92 + 28 = 5y[/tex]

[tex] = \tt120 = 5y[/tex]

[tex] =\tt y = \frac{120}{5} [/tex]

[tex] =\tt y = 24[/tex]

Thus, the value of y = 24

Then :

angle B :

[tex] =\tt 92 + y[/tex]

[tex] =\tt 92 + 24[/tex]

[tex] = \tt116[/tex]

Thus, the measure of angle B = 116

angle E :

[tex] = \tt6y - 28[/tex]

[tex] =\tt 6 \times 24 - 28[/tex]

[tex] =\tt 144 - 28[/tex]

[tex] =\tt 116[/tex]

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Which means :

[tex] = \tt6x + 3 = 2x + 47[/tex]

[tex] = \tt6x + 3 - 2x = 47[/tex]

[tex] = \tt4x + 3 = 47[/tex]

[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]

[tex] =\tt x = \frac{44}{4} [/tex]

[tex] =\tt x = 11[/tex]

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :

[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]

[tex] =\tt 66 + 3 = 22 + 47[/tex]

[tex] =\tt 69 = 69[/tex]

it isssss 23.71..

lslslslsl

Answer:

5.71+18 would equal 23.71

Step-by-step explanation:

If my explanation makes sense, it will help you in the future!

Always see if the numbers you are adding are both decimals, both whole numbers, or one is a decimal and one is a whole number. In this case, it's one decimal, one whole number. So you could easily just add the two whole numbers(5+18) and then put the decimal at the end.

Hope this helps!

Answer:

podés hacerlo de varias formas cra

Answers:

x = 18

y = 6

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

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

--------------

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

Answer:

28

Step-by-step explanation:

its vertically opposite

Answer:

28

Step-by-step explanation:

Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees

Answer:

the $32 for 5

Step-by-step explanation:

Answer: I think he should get the "Pizza Rocks".

Sorry if its wrong!

Answer:

1.57631579

Step-by-step explanation:

14.975 ÷ 9.5 = 1.57631579

Answer:

C

Step-by-step explanation:

the anderton is between 9 and 13

Answer:

B

Step-by-step explanation

Answer:

1935

Step-by-step explanation:

Trust me

There are 1,935 peoples attending were supporters of the home team.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The total number of people attending the game = 4500

At a football game, 43% of people attending were supporting the home team.

And, 57% were supporting the visiting team.

Now,

Since, The total number of people attending the game = 4500

Hence, Number of supporters of the home team = 43% of 4500

                                                                           = 43/100 x 4500

                                                                           = 1,935

Thus, There are 1,935 peoples attending were supporters of the home team.

Learn more about the percentage visit:

https://brainly.com/question/843074

#SPJ2

Answer:

D is a translation

Step-by-step explanation:

It moves down vertically instead of rotating

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Answer:

Hey! 18 x + 28y is your answer

Step-by-step explanation:

Have a nice day! :)

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

Answer:

The are 30 chocolates in the box.

Step-by-step explanation:

Since there are 2 white chocolates for every plain chocolate in a box of chocolates, and there are no chocolates of any other color in the box, and there are 10 plain chocolates in the box, to determine how many chocolates are there in the box altogether the following calculation must be performed:

10 + (2 x 10) + 0 = X

10 + 20 + 0 = X

30 = X

Therefore, there are 30 chocolates in the box.

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:is the bottom left corner “let n ....”

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. √2 ≈ 1.414, √3 ≈ 1.732. The only rational numbers listed are 1.5 and 1.8. Of those, only 1.5 falls in the required range.

__

2. The remainder theorem tells you the remainder from the division will be the value of the dividend when x is -1/2. (x = -1/2 makes the divisor zero.) That value is ...

  8x²(x² -1) +7 = 8(1/4)(1/4 -1) +7 = 2(-3/4) +7 = 14/2 -3/2 = 11/2

__

3. The x-coordinate of 0 means the point lies on the y-axis.

__

4. Filling in the values of x and y, you find k to be ...

  2(2) +3(-1) = k = 1

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

Answer:

Ángulo de 125 grados Cómo se llama

Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.

Step-by-step explanation:

Answer:

x + 5+x+7+Х=42units

3x=42-12

x=30/3

x=10

Answer:

i dont really know the question

Step-by-step explanation:

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

Answer:

2 47/200

I don't know if is right, but that's what I got.

Answer:

60  think

Step-by-step explanation:

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation: