1. Estimate the area of the irregular shape. Explain your method and show your work.
2. The coordinates of the vertices of △LMN are L (-2, 4), M (3, -1), and N (0, -4). Determine whether △LMN is a right triangle and support your decision. Show all work.
3. The coordinates of the vertices of quadrilateral PQRS are P (-6, 2), Q (-1, 4), R (2, 2), and S (-3, 0). Alexandra states that quadrilateral PQRS is a parallelogram. Prove or disprove Alexandra’s statement. Show all work.

Answers

Answer 1

Answer:

Step-by-step explanation:

1. Do not see a figure, and unsafe to download and execute .docx.

2. Vectors LM<5,-5>, NM<3,3>, NL<2,-8>

Since LM.NM = 15-15 = 0, LM and NM are orthogonal, hence the given points form a right triangle.

3. A parallelogram has opposite sides parallel.

Slope PQ = (4-2) / (-1 - -6) = 2/5

Slope RS = (2-0) / (2- -3) = 2/5

Therefore PQ || RS

Slope PS = (2-0)/(-6- -3) = -2/3

Slope QR = (4-2)/(-1 -2) = -2/3

Therefore PS | QR

Since opposite sides are parallel, PQRS is a parallelogram

Answer 2

Answer:

Step-by-step explanation:

1. There are 31 complete are almost complete squares.

Top line is about 3.5 squares

Right side is about 1.8

Bottom about 3.5 and left side about 1.2.

Total approximately 41 square units.

2. If it is a right triangle then 2 sides will be perpendicular.

Slope of LM = (-1-4)/(3 +2 = -1

Slope of MN = (-4+1)/ -3 = -3/-3 = 1.

So as the product of the slope = -1 * 1 = -1 the angles between LM and MN is a right angle and LMN is a right triangle.


Related Questions

someone pls help ill give you a kiss and a cookie fi you help meee
for the point (6,8) find the csc theta and sec theta

Answers

Answer:

cscθ = 5/4, secθ = 5/3

Step-by-step explanation:

First, let's view the drawing that I have attached, with the dot in the bottom left representing the origin. We know that cosecant and secant are the reciprocals of sin and cos respectively, and in order to find sin and cos, we must find the opposite, adjacent, and hypotenuse sides. The hypotenuse is opposite the right angle, equal to √(8²+6²) = 10

Next, we can find sin and cos of θ . sinθ = 8/10=4/5, making cscθ the reciprocal of 4/5, or 5/4

Similarly, cosθ = 6/10=3/5, and secθ = 5/3

4(2x + 3) ÷ 5y
The expression above provides an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

Answers

Answer:

8xy+12y/5

Step-by-step explanation:

write the division as a fraction

4(2x+3)/5 y

Calaucte the product

4y(2x+3)/5

Distbtute 4y through the parentheis  

8xy+12y/5

which gives you 8xy+12y/5

a country’s population in 1990 was 123 million in 2002 it was 128 million

Answers

Answer:

whats the question

Step-by-step explanation:

What’s the domain of the function?

Answers

Answer:

domain of function refers to the various values that can be passed through to the function.

Step-by-step explanation:

Having trouble with these questions, please help.

Answers

The Empirical Rule affirm:

99.7 % random variable values are between
±
three standard deviation.

95 % random variable values are between
±
two standard deviation.

68 % random variable values are between
±
one standard deviation. There you go!

Answer:

(a)=50%(b)=2.1and(c)=16.1

Step-by-step explanation:

Hope this helps

BC=
Round your answer to the nearest hundredth.

Answers

U can look online there are apps that give u the answers or look on safari!

Answer:

1.71 = BC

Step-by-step explanation:

take 70 degree as reference angle

using cos rule

cos 70 = adjacent / hypotenuse

0.3420 = BC / 5

0.3420*5 = BC

1.71 = BC

What is the value of x in this number sentence
[tex]\frac{x}{7} - 4 = 6[/tex]

Answers

x/7= 10

x=10(7)
x=70
Hope this helps!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex] \frac{x}{7} - 4 = 6 \\ \frac{x}{7} = 6 + 4 \\ \frac{x}{7} = 10 \\ x = 10 \times 7 \\ x = 70[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

RainbowSalt2²2²

given that abc=def what is the measure of d

Answers

Answer:

C. 47 deg

Step-by-step explanation:

m<A = 180 - 94 - 39 = 47

m<D = m<A = 47

PLEASE HELP ME WITH THIS ONE QUESTION
How many combinations with repetition are allowed if n = 6 and r = 3?

A) 27
B) 20
C) 18
D) 56

Answers

Answer:

D. 56

Step-by-step explanation:

The general solution for the number of combinations with repetition is represented by the following expression:

[tex]x = \frac{(n + r - 1)!}{r!\cdot (n-1)!}[/tex] (1)

Where:

[tex]n[/tex] - Total number of elements.

[tex]r[/tex] - Number of the sample.

If we know that [tex]n = 6[/tex] and [tex]r = 3[/tex], then the number of combinations with repetition:

[tex]x = \frac{(6+3-1)!}{3!\cdot (6-1)!}[/tex]

[tex]x = 56[/tex]

Hence, correct answer is D.

Calculate the BMI for a woman who is 165 cm tall and weighs 65 kg. ​

Answers

According to BMI chart and their classification, BMI score of 23.88 for 65 kilograms weight & 165 cm tall indicates that your weight is Normal. The Body Mass Index of 23.88 is derived from the weight of 65 kilograms divided by the square of height 165 centimeters.

There are approximately 1.35 billion people in China. If the world population is 7.1 billion people, what percent of the world population is in China?​

Answers

Answer:

19.01%

Step-by- step explanation:

[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]

                [tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]

100 Brainly points!! Need help ASAP :)

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B’. What is the scale factor of dilation?

A. 1
B. 2
C. 0.5
D. -0.5

Answers

Answer:

B

Step-by-step explanation:

I'm not really shure tho

Answer:

D. -0.5

Step-by-step explanation:

AB dilated by scale factor -0.5 to produce AB'.

the length of AB = 4 units and the length of AB' = 2 units, the direction is backward, so the scale factor is - 2/4 = -0.5

Graph the Image of AKLM after a translation 1 unit left and 7 units up.​

Answers

You are basically just moving the graph as a whole, so k will be at (3.10), m will be at (1,6) and l will be at (7,10)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = 30

Answers

Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

Helppppppp

Which choice is equivalent to the product below

Answers

Step-by-step explanation:

jkkkkkkkkkkkkkkkkkkkkk

Answer:

[tex]2 \sqrt{35} [/tex]

Evaluate the given equation for the indicated function values. pls help

Answers

Answer:

The answer in each numeral is:

f(4) = 28f(10) = -19f(-5) = -33f(9) = -9

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

1. f(n) = 5n + 8   f(4) = ?

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28

The first answer is 28, now we'll continue with the next exercises:

2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -19

3. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -33

4. f(n) = -nf(9) = -9

In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.

Which is the graph of the function y = 3x?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph that includes the point (1, 3) will be the one that is a graph of ...

  y = 3^x

Solve the inequality –8 < x – 14.

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

Consider the following sets of sample data: A: $30,500, $27,500, $31,200, $24,000, $27,100, $28,600, $39,100, $36,900, $35,000, $21,400, $37,900, $27,900, $18,700, $33,100 B: 4.29, 4.88, 4.34, 4.17, 4.52, 4.80, 3.28, 3.79, 4.84, 4.77, 3.11 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Answers

Answer:

[tex]CV=0.2[/tex] ---- dataset 1

[tex]CV = 7.2[/tex] --- dataset 2

Step-by-step explanation:

Given

[tex]A: 30500, 27500, 31200, 24000, 27100,28600, 39100, 36900, 35000, 21400, 37900, 27900, 18700,[/tex][tex]33100[/tex]

[tex]B: 4.29, 4.88, 4.34, 4.17, 4.52, 4.80, 3.28, 3.79, 4.84, 4.77, 3.11[/tex]

Required

The coefficient of variation of each

Dataset A

Calculate the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

[tex]\mu = \frac{30500+ 27500+31200+24000+ 27100+28600+ 39100+ 36900+ 35000+ 21400+ 37900+ 27900+ 18700+33100}{14}[/tex][tex]\mu = \frac{418900}{14}[/tex]

[tex]\mu = 29921.43[/tex]

Next, calculate the standard deviation using:

[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]

So, we have:

[tex]\sigma= \sqrt{\frac{(30500 - 29921.43)^2 +.................+ (18700- 29921.43)^2 + (33100- 29921.43)^2}{13}}[/tex]

[tex]\sigma= \sqrt{\frac{487723571.42857}{14}}[/tex]

[tex]\sigma= \sqrt{34837397.959184}[/tex]

[tex]\sigma= 5902.32[/tex]

So, the coefficient of variation is:

[tex]CV=\frac{\sigma}{\mu}[/tex]

[tex]CV=\frac{5902.32}{29921.43}[/tex]

[tex]CV=0.2[/tex] --- approximated

Dataset B

Calculate the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

[tex]\mu = \frac{4.29+ 4.88+ 4.34+ 4.17+ 4.52+ 4.80+ 3.28+ 3.79+ 4.84+ 4.77+ 3.11}{11}[/tex]

[tex]\mu = \frac{46.79}{11}[/tex]

[tex]\mu = 4.25[/tex]

Next, calculate the standard deviation using:

[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{(4.29 - 4.25)^2 + (4.88- 4.25)^2 +.........+ (3.11- 4.25)^2}{11}}[/tex]

[tex]\sigma = \sqrt{\frac{3.859}{11}}[/tex]

[tex]\sigma = \sqrt{0.35081818181}[/tex]

[tex]\sigma = 0.593[/tex]

So, the coefficient of variation is:

[tex]CV=\frac{\sigma}{\mu}[/tex]

[tex]CV = \frac{4.25}{0.5903}[/tex]

[tex]CV = 7.2[/tex] -- approximated

in a club there are seven women and five men. A committee of 3 women and 2 men as to be chosen. how many different possibilities are there?​

Answers

Answer:

Step-by-step explanation:

Which of the following best represents the relationship between functions f and g?
g(x) = -f(x) - 1
g(x) = f(x - 1)
g(x) = -f(x) + 1
g(x) = -f(x)

Answers

9514 1404 393

Answer:

  (c)  g(x) = -f(x) +1

Step-by-step explanation:

We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.

  f(0) = 4  and  g(0) = -3

Looking at the answer choices, we see ...

  A. -f(0) -1 = -4 -1 = -5 ≠ g(0)

  B. f(0 -1) = f(-1) = 1 ≠ g(0)

  C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements

  D. -f(0) = -4 ≠ g(0)

The relation between f(x) and g(x) is g(x) = -f(x) +1.

7/7q+21= x /5q^2-45 then x=?​

Answers

Answer:

x = 5q - 15

Step-by-step explanation:

[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]

A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.
They will need to purchase

Answers

Answer:

15 gallons of milk at 3 week

15/3= 5

for a month 5 * 4 =20

in a year 12 * 20 = 240

Step-by-step explanation:

identify the 3D shape

Answers

Answer and Step-by-step explanation:

The 3D shape shown is a rectangle. This is the net-form of a rectangle.

#teamtrees #PAW (Plant And Water)

Answer:

rectangular prism

Step-by-step explanation:

a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.

can someone help me with this?

Answers

Answer: 22

Step-by-step explanation: 44:2=22

Given the triangle below, what is the length of the third side, rounded to the
nearest whole number?
B
18
A
12
620
Triangle not drawn to scale
A. 18
B. 14
C. 16
D. 20

Answers

Answer:

Option C

Step-by-step explanation:

In this question measure of two sides and and the angle between these sides of a triangle is given.

We have to calculate the measure of third side.

By applying cosine rule in the given triangle.

BC² = AB² + AC² - 2(AB)(AC)cos(A)

BC² = (18)² + (12)² - 2(18)(12)cos(62°)

BC² = 324 + 144 - 202.81

BC² = 265.19

BC = 16.28

BC ≈ 16 units

Therefore, Option C will be the correct option.

Is 4 over 5 equals 48 over 60 a true proportion?

Answers

Answer:

0.8 you yes both of them has the same answer , so it is a true portion

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{48}{60}[/tex]

This is a true proportion because when you cross multiply you get the same product.

[tex]48*5=240[/tex]

[tex]4*60=240[/tex]

find the value of c to the nearest tenth​

Answers

9514 1404 393

Answer:

  x ≈ 9.3

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(50°) = 6/x

Solving for x gives ...

  x = 6/cos(50°) ≈ 9.3343

  x ≈ 9.3

__

There is no 'c' to find the value of.

Answer:

x ≈ 9.3

Step-by-step explanation:

Since , this is right triangle, we can use trigonometry functions;

cos θ = Adjacent side / Hypotenuse

Where, θ = 50°

Hypotenuse = xAdjacent side = 6

Solve for x

cos 50° = 6 / x

Multiply both side by x

cos 50° × x = 6 / x × x

cos 50° × x = 6

divide cos50° by both sides

cos 50° / cos 50° × x = 6 / cos 50°

x = 6 / cos 50°

x ≈ 9.33434296

Nearest tenth :- x ≈ 9.3

Let a, b, c be the three observations. The mean of these observations is.
(a) a+b+c2 (b) a×b×c2 (c) a+b+c3 (d) a+bc

Answers

Answer:  a+b+c/3

Step-by-step explanation:

mean= sum of all values/number of values

If p and q are the roots of 2x²+ 6x = 12 + 4x, and p < q, find q − p​

Answers

Step-by-step explanation:

The given equation can be further simplified into

[tex]2x^{2}+2x-12=0[/tex]

The roots of a quadratic equation is given by

[tex]x = \dfrac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

where a = 2, b = 2 and c = -12. Putting these into the roots equation, we get

[tex]x = \dfrac{ - 2 \: \pm \: \sqrt{4 \: - \: 4(2)( - 12)} }{2(2)} = \dfrac{ - 2 \: \pm \: 10}{4}[/tex]

This gives us two possible roots:

x = 2, x = -3

Since the condition is that p < q, we see that p = -3 and q = 2. Therefore,

[tex]q - p = 2 - ( - 3) = 5[/tex]

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