Is this right? Can someone please check?

Is This Right? Can Someone Please Check?

Answers

Answer 1

Answer: Yes, Substitution property is the correct option.

Step-by-step explanation:

Substitution property of equality says that if 'a= b', then 'a' can be substituted in for 'b' in any equation, and 'b' can be substituted for 'a' in any equation.

Given: m∠A+m∠B =70° ...(i),  m∠X=m∠A

Then, substitute m∠X for m∠A in (i) , we get

m∠X+m∠B =70°

So, the correct option is "Substitution property"


Related Questions

All of Ralph's ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided among her four children how much of Roslyn was in Inherited by 1 of Lynn's children

Answers

Complete question:

All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?

Answer:

1 / 24

Step-by-step explanation:

Number of Ralph's children = 6

Number of Lynn's children = 4

If Ralph's land were divided equally among his six children, the fraction each child gets equals

Proportion of land / number of children

= 1 / 6

Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.

If 1/6 is shared equally between her four children, then ;

Her portion ÷ 4

(1/6) ÷ 4

(1/6) × (4/1)

= 1/ 24

Each of Lynn's children gets 1 / 24

2 divided by 3 + 2 divedes by 3 +3 divided by 3 =?​

Answers

Answer:

1/5

Step-by-step explanation:

1/5

2/3+3/3+4/3

=2/5*3/6

= 1/5

I'm not sure.

Answer:

The answer should be 0.022

Derivative of sin3x using first principle

Answers

[tex]\displaystyle f(x)=\sin(3x)\\\\\\f'(x)=\lim_{h\to0}\dfrac{\sin(3(x+h))-\sin(3x)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{\sin(3x+3h)-\sin(3x)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{3x+3h+3x}{2}\right)\sin\left(\dfrac{3x+3h-3x}{2}\right)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{6x+3h}{2}\right)\sin\left(\dfrac{3h}{2}\right)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{6x+3h}{2}\right)\sin\left(\dfrac{3h}{2}\right)}{\dfrac{3h}{2}}\cdot\dfrac{3}{2}[/tex]

[tex]\displaystyle f'(x)=\lim_{h\to0}2\cos\left(\dfrac{6x+3h}{2}\right)\cdot\dfrac{3}{2}\\\\f'(x)=\lim_{h\to0}3\cos\left(\dfrac{6x+3h}{2}\right)\\\\f'(x)=3\cos\left(\dfrac{6x+3\cdot 0}{2}\right)\\\\f'(x)=3\cos\left(\dfrac{6x}{2}\right)\\\\f'(x)=3\cos(3x)[/tex]

The derivative of sin 3x using first principles is; 3cos(3x)

We want to find the derivative of sin 3x using first principles.

Step 1;

f'(x) = [tex]\lim_{h \to \ 0} \frac{(sin3(x + h)) - sin(3x)}{h}[/tex]

Step 2; Expand the bracket to get;

f'(x) = [tex]\lim_{h \to \ 0} \frac{(sin(3x + 3h)) - sin(3x)}{h}[/tex]

Step 3: According to trigonometric identities, we know that;

sin A - sin B = [tex]2cos\frac{A + B}{2} sin\frac{A - B}{2}[/tex]

Applying that to the answer in step 2 gives;

f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(3x + 3h + 3x)}{2}) sin\frac{(3x + 3h - 3x)}{2})}{h}[/tex]

Step 4; Simplify the brackets to obtain;

f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(6x + 3h)}{2}) sin\frac{(3h)}{2})}{h}[/tex]

Step 5; Rewrite the denominator to get;

f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(6x + 3h)}{2}) sin\frac{(3h)}{2})}{\frac{3h}{2}*\frac{2}{3}}[/tex]

Step 6; Input the limit of 0 for h to get;

f'(x) = [tex]\frac{2(cos\frac{(6x)}{2}) sin\frac{(0)}{2})}{\frac{0}{2}*\frac{2}{3}}[/tex]

⇒ f'(x) = [tex]\frac{2(cos3x)}{2/3} \frac{ 0}{{0}}[/tex]

0/0 = 1. Thus;

f'(x) = 3cos(3x)

Read more about differentiation from first principles at; https://brainly.com/question/5313449

Which type(s) of symmetry does the following object have?
Select all that apply.

Answers

Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.

We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.

We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.

Answer:

Theres more than one answer so b and a

Step-by-step explanation:

(x-y)²-(x+y)² a)0 b)2y² c)-2y² d)-4xy e)-2(x+y)²

Answers

Answer:

D

Step-by-step explanation:

-4xy

will be your answer after factoring

Answer:

d

Step-by-step explanation:

Given

(x - y)² - (x + y)² ← expand both factors using FOIL

= x² - 2xy + y² - (x² + 2xy + y²) ← distribute by - 1

= x² - 2xy + y² - x² - 2xy - y² ← collect like terms

= - 4xy → d

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

Answer:

[tex] 9.3 + b = 14.5 [/tex]

Step-by-step explanation:

Longest side of ∆ = 2a = 6.2 cm

If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is

The sum of the 3 sides = perimeter = 14.5 cm

Thus,

[tex] a + 2a + b = 14.5 cm [/tex]

Plug in the values of a and b

[tex] 3.1 + 6.2 + b = 14.5 [/tex]

The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]

The distance between two schools A and B is 2km.A market is situated 3/4 of the distance from A to B.How far is the market from B?

Answers

Answer:

0.5 km

Step-by-step explanation:

the schools are 2km apart, so we are trying to find 3/4 of 2km, which is 1.5. So, the market is 1.5km from school A, which means that it is .5km from school b since they are 2km apart

Solve the equation
(If possible please show work)

Answers

Answer:

Step-by-step explanation:

-8 + 8a = -12 + 4a

4a - 8 = -12

4a = -4

a = -1

Answer:

a = -1

Step-by-step explanation:

[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]

I hope that makes since... I tried to show my work the best I could.

the product of 5 and z

Answers

Answer:

5z

Step-by-step explanation:

As product = multiplication =>

5 x z --> 5(z)

[tex]\text{Find the product of 5 and z}\\\\\text{The key term in this questions is product, and in math it translates to}\\\text{the answer when multiplled}\\\\\text{In this case, you would multiply them together to get your "product"}\\\\\text{Solve:}\\\\5\cdot z\\\\\boxed{5z}[/tex]

Which property is shown in the matrix addition below?
5
-1
0
5
-7
0.4
0
-7
0
0.4
+
+
+
6.2
-8.5
-9.9
6.2
-9.9
-8.5
12
0
2
12
0
2
inverse property
identity property
commutative property
associative property
Help please!

Answers

Answer:

associative property

The solution is,  property is shown in the matrix addition below is

associative property.

Here, we have,

The property shown in the given matrix addition is associative property.

Let's define associative property first,

The Associative Property of Addition for Matrices states :

Let A , B and C be m×n matrices .

Then, (A+B)+C=A+(B+C) .

Associative Law of Addition of Matrix:

Matrix addition is associative. This says that, if A, B and C are Three matrices of the same order such that the matrices B + C, A + (B + C), A + B, (A + B) + C are defined then A + (B + C) = (A + B) + C.

Since P and Q are of the same order and pij = qij then, P = Q.

Here, from the given information,

we get, A , B and C be 4×1 matrices,

and,  (A+B)+C=A+(B+C)

So, The solution is,  property is shown in the matrix addition below is

associative property.

To learn more on matrix click:

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#SPJ7

. Find the sum of the geometric sequence. (1 point) 1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six

Answers

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

1. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day? 1

Answers

Answer:

the smallest number of clients that could be interviewed each day is 2

Step-by-step explanation:

From the information given, we are being told that:

Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs.

On the first day, the agency plans to interview clients in groups of 2.

This implies that , a single group contains 2 clients

On the second day, the agency will interview clients in groups of 4.

This implies that, a single group contains 4 clients

If the employment agency will interview the same number of clients on each day,

the objective is to determine the smallest number of clients that could be interviewed each day.

We we are meant to find out here is the Lowest Common Multiple i.e the L.C.M of the group of clients.

So,

the factors  of 2 = 1 ,  2

the factors of 4 = 1, 2 and 4

The lowest common multiple from the above factors is 2

Therefore, the smallest number of clients that could be interviewed each day is 2

root 64 divided by root 3 64​

Answers

Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

0.4193

Step-by-step explanation:

Root 64=8

Root 364=19.08...in 4 s.f

8÷19.08=0.4193...in 4 significant figures (4s.f)

Which function has only one x-intercept at (-6, 0)?
Of(x) = x(x-6)
O f(x) = (x - 6)(x - 6)
f(x) = (x + 6)(x - 6)
Of(x) = (x + 6)(x + 6)

Answers

Answer:

f(x) = (x + 6)(x + 6)

f(x)=0

x+6=0 ⇒ x=-6

Answer: D.  f(x) = (x+6)(x+6)

Set (x+6)(x+6) equal to zero and solve each equation for x. We really only have one equation and it would be x+6 = 0 which solves to x = -6.

Plug x = -6 into f(x) and you would get f(x) = 0.

what is a irrational number between 9.5 and 9.7

Answers

Step-by-step explanation:

x be an irrational number between 9.5 and 9.7.

So, we consider that  x = 9.562536941412578914...

Rounding to the nearest hundredth

x = 9.56.

9.56763865854637984..... (rounded 9.57)

irrational because it has no pattern

Answer:  [tex]\large \sqrt{91}[/tex]

Step-by-step explanation:

An irrational number is a square root in its simplest form.

We want an irrational number between 9.5 and 9.7

                               [tex]\huge 9.5<\sqrt x <9.7[/tex]

square all sides     90.25 < x < 94.09

Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. [tex]\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}[/tex]


Write the equation of the line which passes
through the points (4,2) and (-3, 1)

Answers

Answer:

y = 1/3x + 4/7

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Formula: y = mx + b

Step 1: Find slope m

m = (1 - 2)/(-3 - 4)

m = -1/-7

m = 1/7

y = 1/7x + b

Step 2: Find y-intercept b

1 = 1/7(3) + b

1 = 3/7 + b

b = 4/7

Step 3: Write linear equation

y = 1/3x + 4/7

Question is in the pic I really suck at this stuff can I get some help plssssss

Answers

Answer:

see below

Step-by-step explanation:

The hypotheses is the if part of the statement ( after the if)

hypotheses:  it is January

The conclusion is the  then part of the statement ( after the then)

conclusion  there is snow

John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved

Answers

Answer:

70%

Step-by-step explanation:

So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer

Which of the following is an example of the difference of two​ squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.

Answers

Answer:

1) What does it mean when a polynomial equation is in standard​ form?

All terms are on one side of the equation, and zero is on the other side.

2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as 8x−15x.

3) Is the given equation a quadratic equation? Explain.

x(x−6)=−5

The equation is a quadratic equation because there is an x2-term.

4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?

(2+x)(8+x)

5) Which of the following is an example of the difference of two​ squares?

x2−9

Step-by-step explanation:

I hope this helps you out ☺

A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Recall:

Difference of two squares is when you have a binomial that is expressed as [tex]x^2 - y^2[/tex].

The first and second term of the binomial will have an exponential of 2 wile the subtraction sign will be in the middle.

Thus, from the options given, option A: [tex]x^2 - 9[/tex] is an example of a binomial that is the difference of two squares.

This is why:

9 can be expressed as [tex]3^2[/tex].

In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Learn more here:

https://brainly.com/question/16139579

Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings

Answers

Answer:

2.08 meters

Step-by-step explanation:

From the diagram attached :

We can calculate the height of the shorter building using trigonometry :

s = Height of shorter building

t = height of taller building

Tanθ = opposite / Adjacent

θ = 36°

Adjacent = 12, opposite = s

Tan36° = s / 12

0.7265425 × 12 = s

s = 8.72 meters

s = height of shorter building 8.72 meters ( 2 decimal places)

Height of taller building :

Tanθ = opposite / Adjacent

θ = 48°

Adjacent = t ; opposite = 12

Tan48° = 12 / t

1.1106125 = 12 / t

1.1106125 × t = 12

t = 12 / 1.1106125

t = 10.80 meters ( 2 decimal places)

Height of Taller building = 10.80 meters

Difference in height :

(10.80m - 8.72m) = 2.08 meters

What are the vertical asymptotes of the function above?
1) x= -1 and x = -2
2) x= -1 and x = 2
3) x= 1 and x = -2
4) x = 1 and x = 2

Answers

Answer:

third option

Step-by-step explanation:

Given

f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

The vertical asymptotes are x = 1 and x = - 2

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1. In order to calculate his total score, you pick the two top scores and add them. What is his total score?

Answers

Answer:

14.6

Step-by-step explanation:

In the question, we are told that:

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1.

In the question, we are also told that to calculate his total score, we add his top two scores.

Yivgeny's top two gymnastics scores are:

5.5 and 9.1.

Hence, his total scores = 5.5 + 9.1

= 14.6

Yivgeny's total scores = 14.7

PLS HELP ME A THANK YOU AND A BRAINLIST WILL BE REWARDED!!!! :)

Answers

Answer:

[tex]\Large \boxed{{(10x+10)=110}}[/tex]

Step-by-step explanation:

Vertical opposite angles are equal.

[tex](10x+10)=110[/tex]

Answer:

The answer is C.

Step-by-step explanation:

Reason:

For the angles shown, angle (10z+10)° is the same with 110°

So the equation is (10z+10)° = 110°

That's the answer. (C).

Which number is equal to 10^-3?
-1,000
-30
0.001
0.003

Answers

Answer: Choice C) 0.001

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

Determine the equation of the graph and select the correct answer below.
(1, 1-3)
Courtesy of Texas Instruments

Answers

Answer:

  y = (x -1)² -3

Step-by-step explanation:

A quadratic with a vertex at (h, k) will have an equation of the form ...

 y = a(x -h)² +k

You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...

  y = (x -1)² -3

_____

* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.

x - (-20) = 5 _________________

Answers

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

How many three-digit positive integers [tex]x[/tex] satisfy [tex]3874x+481\equiv 1205 \pmod{23}[/tex]

Answers

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

  10x = 11

Its solutions are x = 23n +8.

Evalute n2+2N for N=5​

Answers

Answer:

Hey there!

Do you mean- [tex]n^2+2n?[/tex]

If so, then your answer would be 5^2+2(5), or 35.

Let me know if this helps :)

how many are 1 raised to 5 ???​

Answers

Answer: 1.

Step-by-step explanation: 1^5 is really just 1, 5 times.

1*1*1*1*=1

En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8
Camionetas tipo Pick-up y 2 automóviles deportivos.
Cl costo de producción y el precio de venta de cada vehículo es el siguiente:
Costo de
Vehículo
Precio de
Producción Venta
SEDAN
SEDAN
DEPORTIVO
$140,000 $185.000
SUV
$250,000
$320,000
VAN
$310,000
$400,000
PICK-UP
PICK-UP
$210,000
$285,000
VAN
DEPORTIVO
$400,000
$550,000
SUV
Cada año transcurrido, posterior a su fabricación, el precio de venta de los
vehículos disminuye una octava parte de su valor.
a suponiendo que en un día se vendan los vehículos en igual cantidad de los
que se fabricaron, como podrías calcular la ganancia?
b
Si la fábrica trabajara solo 12 horas, existe una forma de calcular cuántos
vehiculos se fabrican, ¿cuantos se fabricaron en este lapso? Sustenta tu
respuesta

Answers

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

Other Questions
Which of the following is not always true about summaries?Select one A. Summaries are broader in scope than the paraphrase. B. Summaries are more than 500 words longC. Summaries are overview of an entire work D. Summaries are shorter than paraphrases. Since the 1980s and 1990s, segmentation in global financial markets has been reduced. As a result of this, the correlation among securities markets has increased, thereby reducing, but not eliminating, the benefits of international portfolio diversification. True or Worse The economic principle which states that the maximum value of an improved property is realized when other properties in the immediate area have compatible and harmonious architecture is called Which Enlightenment philosopher introduced the idea that people enter a social contract with the purpose of maintaining order in society? A. Thomas Hobbes B. John Locke C. William Blackstone D. Charles-Louis Montesquieu Why is the top part of Mt.Everest the coldest part if the sun is practically shining above it? You need 100.00 mL of H20 and 5.00 mL ofliquid plant food to make a solution for yourplants. You forgot to bring a measuring cupout to the greenhouse, but you do have a scaleand know that the density of H2O is 1.00g/cm", the density of liquid plant food is 1.21g/cm' and 1 cm = 1 mL. How much of theliquid plant food would you use? Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of the ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is Tom afraid of the height? You are performing a routine check-up on an 81-year-old retired cotton farmer in the vascular surgery clinic. You note that he has a history of chronic arterial insufficiency. Which of the following physical examination findings in the lower extremities would be expected with this disease?A) Normal pulsationB) Normal temperatureC) Marked edemaD) Thin, shiny, atrophic skin The decision was made.Verb phrase When six basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name. P(shoot free throws in alphabetical order)= You are the captain of a ship, and you just hit an iceberg. Water is rushing into the ship and it is quickly sinking. A total of 10 people are on the ship and all of them are in grave danger! Hungry sharks are everwhere! The good news is that you have a lifeboat onboard. The bad news is that it only has room for 5 people. You don't know any of the people very well (only the information provided), and you don't have time to interview them before hopping onto the lifeboat. So, you do you keep, and why (and you do NOT have to keep yourself)? Last question of the day!! (URGENT) The difference between a psychological disorder and what is "normal": A. may vary from culture to culture B. changes from year to year C. is very clearly defined D. does not change In "Name that Player", Do you publish the story as is? Why or why not? A right triangle has the following vertices Find the area of the triangle (7,-3) (4,-3) (4,9)20 pnts The manager of a commercial building has many responsibilities in connection with the operation and maintenance of the structure. The manager would normally be considered the agent of The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies? Fill in the blanks and explain the pattern 0,1,1,2,3,5,__,__,21,34,55 Hymns, carols, as well as most folk and popular songs are written in _____ form. What is 2,871 divided by 33? A) 77 B) 83 C) 87 D) 93