What is the value for x?

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Explanation:

Check out the diagrams below.

We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.

Use the pythagorean theorem to find the vertical side x.

a^2 + b^2 = c^2

25^2 + x^2 = 65^2

625 + x^2 = 4225

x^2 = 4225 - 625

x^2 = 3600

x = sqrt(3600)

x = 60

The top of the ladder is 60 feet high when placed against the wall in this configuration.

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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.

Like earlier, we'll use the pythagorean theorem to find the missing side.

a^2 + b^2 = c^2

y^2 + 52^2 = 65^2

y^2 + 2704 = 4225

y^2 = 4225 - 2704

y^2 = 1521

y = sqrt(1521)

y = 39

The horizontal distance from the ladder base to the wall is now 39 feet.

Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.

Answer:

Its personification they givin human characteristics to non human thangss

Answer:

551

Step-by-step explanation:

500+6(4)+3(1)(5+4)

500+24+3(9)

524+27

551

Brainliest is much appreciated

Answer:

515, just evaluated it

12 dollars is discounted off, making the price 28 dollars.

Step-by-step explanation:

10 percent is 4$, 4×3=12

Answer:

The solution to this system of equations is (-1, 1).

Step-by-step explanation:

A system of equations is a "a finite set of equations for which common solutions are sought". Or, they are a pair (or more) of equations that either intersect, are parallel, or the same line. For the sake of simplicity, we are going to focus on systems of equations that intersect and only have one solution.

A solution to a system of equations that intersect is represented by a point (x, y). This makes sense because at the intersection of two points, there lies a point.

So how do we find this point? We do this by solving the system of equations. We show that there exists a point in which two lines can be satisfied simultaneously. But how can we do that? Trial and error?! Well, no. There are some ways of approaching this.

The first method is graphing. By either using an external source or doing it yourself, graphing two lines and showing where they intersect is one of the more understandable ways of solving a system of equations. The point where they cross is the solution of the system.

The second method is elimination. This is observing that a system of equations can be combined together to eliminate a variable (x or y) and solving for the other in a one-variable equation. For example, say that I have this system of equations:

x - y = 1

x + y = 1

By simply adding the two together, I get:

2x = 2

x = 1.

Since we already have x = 1, we can substitute it back into one of the original equations to get y.

1 + y = 1

y = 0.

So, the solution to this system of equations would be (1, 0). Speaking of substituting ...

The third method is substitution. This is observing that a variable (x or y) can be written in terms of the other and then using that to substitute in and make one of the equations one-variable.

y = 2x + 3

x - y = -2

We can see that y is already in terms of x in the first equation, so let's substitute y for 2x + 3 in the second equation.

x - (2x + 3) = -2

- x - 3 = -2

- x = 1

x = -1

We can substitute x back into one of the original equations.

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, the solution to this system of equations is (-1, 1).

Answer:

8n

Step-by-step explanation:

The third side  of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n

Step-by-step explanation:

take ∆PRT

angle prt = 30°(||sides, traversal, opp angles)

angle ptr = 45+y(|| sides, opp angles)

x+30+45+y = 180

x+y = 180-75= 105

x= 105-y

take triangle zrt

angle zrt =30(parallel sides and traversal with opp angles)

angle ztr = y(parallel lines)

30+y+w = 180

w = 150-y

angle pzt+azr = 360-300+2y=60+2y

pzt= 30+y

triangle pza

30+y + 45+30= 180

y = 180-105=75

w = 75

x=30

Answer:

a counter-clockwise 90 degree rotation about the origin

Step-by-step explanation:

Answer:

A reflection across the y-axis.

Step-by-step explanation:

I took the test :)

Answer:

r = [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a, b) is the center and r is the radius

Therefore, for the equation [tex]x^2+y^2=18[/tex]

⇒ r = [tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

Answer:

23m-47

Step-by-step explanation:

Distribute  9 to m and -3

Distribute 2 tp -10 and 7m

9m-27-20+14m

Subtract:

9m-47+14m

Group like terms:

9m+14m-47

Add similar elements 9m+14m=23m:

23m-47

The points for a linear function are (0, -2), (1, 1) and (2, 4)

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given that the relationship between f(x) and x is given by:

f(x) = 3x - 2

When x = 0: f(0) = 3(0) - 2 = -2

When x = 1: f(1) = 3(1) - 2 = 1

When x = 2: f(2) = 3(2) - 2 = 4

The points for a linear function are (0, -2), (1, 1) and (2, 4)

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

(0, -2) (1, 1) (-3, -11)

Step-by-step explanation:

[tex]6 \times 27 \times 28 \times 23 \times 3 = 312984[/tex]

Answer:

312984

Step-by-step explanation:

To solve the equation 6 x 27 x 28 x 23 x 3, you can follow these steps:

Start by multiplying the first two numbers: 6 x 27 = 162.

Then multiply the result by the next number: 162 x 28 = 4536.

Continue multiplying by the next number: 4536 x 23 = 104328.

Finally, multiply by the last number: 104328 x 3 = 312984.

The final result is 312984

Answer:

Step-by-step explanation:

Equivalent fractions obtained when the fraction is multiplied by a fraction with same numerator and denominator:

Answer:

C the 3rd one

Step-by-step explanation:

that's the best explanation for me. I'm sorry if I'm wrong I wish you luck

Answer:

(-1,9)

Step-by-step explanation:

y = -3x + 6

y = 9

-3x + 6 = 9

-3x = 3

x = -1

y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,

-3(-1) + 6 = 9

(-1,9)

Answer:

x = 16 sin 38

Step-by-step explanation:

sin 38 = x/16

Multiply both sides by 16.

16 × sin 38 = x

x = 16 sin 38

Answer:

Step-by-step explanation:

The measure of the angle at which the poles meet at the top of the tepee is 180 degrees

Complementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.

The two poles meet at the top of the tepee.

The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,

Complement of the angles that the poles form on the ground = 90°

Then the measure of the angle at which the poles meet at the top of the tepee is as follows:

Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees

learn more on complementary angles: https://brainly.com/question/25783764

Answer:

The answer is B. 60 boys

Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please

Answer:

[tex](2x+3)^{2}[/tex]

Step-by-step explanation:

Factor the equation (I got 36 because I multiplied 4x9)

You need to find two numbers that multiple to equal 36 but add to equal 12

6 x 6 = 36

6 + 6 = 12

I used to box method to factor it further into (2x+3)^2

Answer:

19

Step-by-step explanation:

Answer:

The width would be 3 1/3 inches or 3.333 repeating

Step-by-step explanation:

Since you divide the length by 3, you would also have to divide the width by 3. 10 divided by 3 is 3 1/3 or 3.333 repeating (whichever one you choose).

Answer:

you can't add them technically because they aren't the same

if it was 2x then you could add them

Answer:

378 Lemons

Step-by-step explanation:

Because you use 2 lemons for every cup, you first need to find how many lemons per pitcher by multiplying 9 by 2 to get 18, so 18 lemons per pitcher, then multiply that by 21 because that's the total amount of pitchers to get 378 lemons

Answer:

x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.

Answer:

7.

Step-by-step explanation:

Since there is a total of 27 per class, and 20 are already in the class, you can do 27-20= 7 student slots left.

Answer:

x= [tex]\sqrt13 +3[/tex]

Step-by-step explanation:

Answer:

Answer is $3

Step-by-step explanation:

$3 x 0.75 (75%) = $2.25

$3 - $2.25 = $0.75