A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
feet. Find the length of the ladder if the length is 2 feet more than its distance from the
wall.

Answer: $3550 or letter: I

Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i

Answer:

She would have written 6 2/3 pages.

Step-by-step explanation:

2 2/3 pages = 1 hour

6 2/3 pages = 2 1/2 hours

The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

Given the proof to show that ∠1 is supplementary to ∠2, thus:

Since lines m and n are parallel to each other,

∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.

Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.

By substitution, we would have m∠1 + m∠2 = 180°.

Therefore, we can conclude that ∠1 is supplementary to ∠2.

In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

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Answer:

that's my answer in mathematics hope it helps for you

Answer:

5%

Step-by-step explanation:

So far, the experiment is done 53 times

Out of the 53 times, an apple chew was selected 46 times

To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)

[tex]\dfrac{ 2+ 2i}{5+4i}\\\\\\=\dfrac{(2+2i)(5-4i)}{(5+4i)(5-4i)}\\\\\\=\dfrac{10-8i + 10i -8i^2}{5^2 -(4i)^2}\\\\\\=\dfrac{10+2i +8}{25+16}~~~~;[i^2 =-1]\\\\\\=\dfrac{18+2i}{41}\\\\\\=\dfrac{18}{41} + \dfrac{2}{41}i[/tex]

Answer:

34

Step-by-step explanation:

Answer:

b=4 a=3

The first digit is 3 and the second 4 so the original number is 34

To be honest! It would be much quicker to solve by trial and error.

Explanation:

Building the equations

Let the first digit be  

a

Let the second digit be  

b

The first condition

a

+

b

=

7

...............................(1)

Step-by-step explanation:

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

Answer:

(-3,8)

Step-by-step explanation:

Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:

((x1+x2)/2,(y1+y2)/2)

Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)

We can assign x2 and y2 as variables.

(9+x2)/2=3

9+x2=6

x2= -3

(2+y2)/2=5

2+y2=10

y2=8

therefore we get the point (-3,8)

There are better ways and this is the "formulaic (ig) way" to do this

The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).

The midpoint of a line segment means a point which lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

 x = (p+m)/2

and

y = (q+n)/2

The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,

x=(p+m)/2

3=(9+m)/2

6=9+m

m = -3

y = (q+n)/2

5 = (2+n)/2

10=2+n

n=8

Hence, the coordinate of point B is (-3,8).

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#SPJ2

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

Answer:

she sold 680 chocolate chip cokies

Step-by-step explanation:

Answer:

-6+12x

Step-by-step explanation:

9-15+12xmultiply -3(5-4x), calculate the difference

-6+12x

Answer:

21.00845

Step-by-step explanation:

πD = 66m

D = 66x 7/22

D = 21m is your answer brainlist me plz

Answer:

65 miles per hour.

Step-by-step explanation:

You can divide 325 by 5 to get how many miles she drove per hour :)

Answer:

65mph

Step-by-step explanation:

Divide 325 by 5 to get your answer.

The formula for speed is speed=Distance/Time

So take the total distance, and divide it by the time

Let the ceilings be a & b

and the distance from one corner of the ceiling to the opposite be c

then using Pythagoras theorem

[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]

hence ,c .°. the distance from one corner of the ceiling to the opposite is 20

Answer:

a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary

Answer:

y=-6/5x

Step-by-step explanation:

Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line

Step-by-step explanation:

go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.

Answer:

Answers are B-Y, C-Z, A-X

Answer:

I am pretty sure it is y=22-4x/3

Step-by-step explanation:

4x+3y=22

(you need to put it in y=mx+b format)

-subtract 4x on both sides-

3y=22-4x

-divide by 3 on both sides-

y=22-4x/3

Not sure if this is correct, but I hope this helps!

Answer:

The answer is located in the image below.

Answer:

you will bcz u didn't fail

Answer:

  no real solutions

Step-by-step explanation:

If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.

When the discriminant is negative there are no real solutions, but there are two complex solutions.

Answer:

f(x)=12(1.2)x

Step-by-step explanation:

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

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Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

Answer:

20, 250

Step-by-step explanation:

3:3:2

u will first need to find the addition of all the ratio and divide each ratio by the sum

3+3+2=8

the u will; 3/8×54000=20,250

3/8×54000=20,250

2/8×54000=13500

The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]

Given to us

The value of cement mixer when bought, [tex]P[/tex]= $ 54,205

the value of cement mixer after 1 year, [tex]P_1[/tex]=   $ 47,158. 35

the value of cement mixer after 2 year,[tex]P_2[/tex]=  $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]

By putting the value, in the formula we get,

[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]

Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,

[tex]P_n= P(1-r)^n[/tex]

[tex]f(t) = 54,205(0. 87)^{t}[/tex]

Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].

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