A 22-foot ladder is placed against a vertical wall of a building, with the
bottom of the ladder standing on level ground 9 feet from the base of the building. How high up the wall does the ladder reach?

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500    (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

Answer:x=√−y2+18y−56 or x=−√−y2+18y−56

Step-by-step explanation:

x2+(y−9)2=25

Step 1: Add -y^2 to both sides.

x2+y2−18y+81+−y2=25+−y2

x2−18y+81=−y2+25

Step 2: Add 18y to both sides.

x2−18y+81+18y=−y2+25+18y

x2+81=−y2+18y+25

Step 3: Add -81 to both sides.

x2+81+−81=−y2+18y+25+−81

x2=−y2+18y−56

Step 4: Take square root.

x=√−y2+18y−56 or x=−√−y2+18y−56

Answer:

x=√−y2+18y−56 or x=−√−y2+18y−56

Answer:

3% annually

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

I know this becaus the teacher helped me

Answer:

[tex]25.1\ \text{inches}^2[/tex]

[tex]56.5\ \text{inches}^2[/tex]

[tex]69.7\ \text{inches}^2[/tex]

Step-by-step explanation:

The length of the pipe is given by the function

[tex]L=119.75\sqrt{A}[/tex]

where A is the area

[tex]A=(\dfrac{L}{119.75})^2[/tex]

For [tex]L=600\ \text{in}[/tex]

[tex]A=(\dfrac{600}{119.75})^2\\\Rightarrow A=25.1\ \text{inches}^2[/tex]

Area watered when L = 600 inches is [tex]25.1\ \text{inches}^2[/tex]

For [tex]L=900\ \text{in}[/tex]

[tex]A=(\dfrac{900}{119.75})^2\\\Rightarrow A=56.5\ \text{inches}^2[/tex]

Area watered when L = 900 inches is [tex]56.5\ \text{inches}^2[/tex]

For [tex]L=1000\ \text{in}[/tex]

[tex]A=(\dfrac{1000}{119.75})^2\\\Rightarrow A=69.7\ \text{inches}^2[/tex]

Area watered when L = 1000 inches is [tex]69.7\ \text{inches}^2[/tex]

Answer:

2 and 4/10

Step-by-step explanation:

NoW gIvE tHe PeRsOn aBoVe BrAiNleSt

Answer:

-2cd-16-6.3c

Step-by-step explanation:

1) Remove Parentheses -2cd+5-6.3c-20-1

2) Collect like terms -2cd+ (5-20-1)-6.3c

simplify and that would give you  -2cd-16-6.3c hope that helps

The difference of (-2c + 5) – (6.3c + 20) is  -8.3c -15 .

Mathematical operation is subtraction. It is employed to eliminate terms or expression's objects.

The given expression is  (-2c + 5) – (6.3c + 20).

(-2c + 5) – (6.3c + 20)

= -2c-6.3c +5 - 20

= -8.3c -15

Therefore, the subtraction of  (-2c + 5) and (6.3c + 20) is  -8.3c -15.

For more information on subtraction, see;

brainly.com/question/2346316.

#SPJ2

Answer:

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000. So 4000 can be written as 4 × 10³. This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

Factored form, the product of a constant and two linear terms: or. The parameters and are the roots of the function (the x-intercepts of the graph ). Converting a quadratic function to factored form is called factoring.

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. and vertex is

In geometry, a vertex (in plural form: vertices or vertexes), often denoted by letters such as, is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

The correct answer should be 130xyz.

(if correct, please mark brainliest. :))

Step-by-step explanation:

Answer:

16 people out of 80 people are right handed.

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

radius is half of a diameter

Answer:

2000

Step-by-step explanation:

1 kilogram = 1000 grams

2*1000=2000

answer is 459 dollars

explanation: 15% of 500 is 75 that =425 + the tax which is 34 dollars so add them to get the answer 459

Answer: It’s A. Quote a friend who enjoys math and another friend who likes it less.

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Person above me got it correct (Right on Edge) Give him brainliest

Answer: the answer is 24 miles

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

the ratio is 20:8

If we wanna find the ratio for 60 mins, you have to multiply both sides by three.

Then, we get 20/8 = 60/24

So, Jane jogged 24 miles in sixty minutes

Answer:

UV= 6

XY= 4

YW= 4

XV= 3

ZW= 4

VW= 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

15 + 5= 20

Answer:

carry across the-5

minus turns into a +

looks like this

+5+15=m

Answer:

Step-by-step explanation:

f(8)=-3(8)²-6(8)+1

     =-192-48+1

     = -239

i don't know

Step-by-step explanation:

how, help us HHAHAHAHAHAHAHAHHAHAHAHHAA

Answer:

A

Step-by-step explanation:

a²+ b² = c²

(3 ft)² + (9 ft)² = (H)²

Answer:

A

Step-by-step explanation:

in a right triangle, the longest side (across from the right angle) is the hypotenuse (denoted as 'c')

the legs are denoted as 'a' and 'b'

the Pythagorean Theorem allows you to find the missing side using this formula:

a² + b² = c²

I’m pretty sure 17.3 because of you do a^2+b^2=c^2 you get a^2= 10 square root 3 and that in a decimal is 17.3205

Answer:

8

Step-by-step explanation:

Answer:

$38.50

Step-by-step explanation:

First, multiply 2.75 by the number of books he purchased which was 14. When you do this you get the number 38.50 which is the cost for the books.

Answer:

n= 7.5

Step-by-step explanation:

So to get the answer to this equation, we have to create different equivalent equations, in the base equation so that in the end all bases are equivalent to solve for n.

Exact Form:

7/2

Decimal Form:

3.5

Mixed Number Form:

3 1/2

Hope this was helpful! Have a great day! :)

Answer:

n = 4

Step-by-step explanation:

Properties of Exponents

We are required to solve the following equation:

[tex]\displaystyle 7^7\cdot 7^5=\frac{(7^n)^4}{7^4}[/tex]

Operating:

[tex]\displaystyle 7^{7+5}=\frac{7^{4n}}{7^4}[/tex]

[tex]\displaystyle 7^{12}=7^{4n-4}[/tex]

Equating the exponents:

4n - 4 = 12

Adding 4:

4n = 16

Dividing by 4:

n = 4

Answer:

The answer is C x<18 indirectly saying 5<18 the other options has no match for it

Answer:

The GCF is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

look at a Multiplication chart find all factors and find the highest number for 28 and 44

Answer:

markup

Step-by-step explanation:

Answer:

Use x for your variable. Do not simplify

Step-by-step explanation:

Answer: Soooo-----    x+(3x-13)

Step-by-step explanation:

So in this case i used x as number. Since we're not solving for anything this is just an expression. so the difference between triple the number so 3x and thirteen so (3x-13) and (a number) added so x+(3x-13) or number added to the difference between triple the number and thirteen

Answer:

This will help you

Step-by-step explanation:

Answer:

x = 55

Step-by-step explanation:

Since 2 sides of the triangle are congruent, both 5, then the triangle is isosceles and the 2 base angles are congruent, both x , then

x + x + 70 = 180 ← sum of 3 angles = 180°

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Answer:

55.52

Step-by-step explanation:

By sine rule:

[tex] \frac{ \sin x \degree}{5} = \frac{ \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ x \degree = {sin}^{ - 1} ( \frac{ 5 \: \sin 70 \degree}{5.7}) \\ \\ x \degree = 55.516753493 \degree\\ \\ x = 55.52[/tex]

Answer:

A. One solution

Step-by-step explanation:

We are given a system of equations and are asked to find whether it has a certain solution.

y = x + 4

2x + 2 = y

Since both equations end with y, we can substitute them from back to back.

x + 4 = 2x + 2

Subtract 2 from both sides :

x + 2 = 2x

Subtract x from both sides :

x = 2

Solve for y now that you have x by subtituting x with the value.

(2) + 4 = y

2(2) + 2 = y

6 = y

6 = y

Therefore this means that the system of equations is one solution because it intersects at one point (2, 6).

Check the graph.

Answer:

Down below hope it helps :)

Step-by-step explanation:

The evidence "SAY" was only written once. It wasn't by the same article, the writer introduces two separate articles.

Kinda confused by this question but I think that's the answer.