What is DF? Help me please :)

What Is DF? Help Me Please :)

Answers

Answer 1

The value of DF = 20.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

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Related Questions

Solve the Percent Discount Application.

The local grocery store has just marked down a patio set by 20%. If the patio set costs $79.90, what is the discounted price?

$63.92
$94.80
$15.80
$70.00

Answers

79.90*0.8= 63.92

Answer
63.92

Translation: (x,y)→(x+7,y+5) Coordinates: Y(−5,−4), X(−5,−1), W(−2,0), V(−2,−5)

Answers

Answer:

Y - (2,1)

X - (2,4)

W - 5,5)

V - (5,0)

Step-by-step explanation:

Translation: (x,y) → (x+7,y+5)

Coordinates:

Y(−5,−4) => (-5 + 7, -4 + 5) => (2,1)

X(−5,−1) => (-5 + 7, -1 + 5) = > (2,4)

W(−2,0) => (-2 + 7, 0 + 5) => (5,5)

V(−2,−5) => (-2 + 7, -5 + 5) => (5,0)

Can you divide 2 by 9? Explain your response.

Answers

Answer:

0.22222222222

Step-by-step explanation:

To divide two by nine, you need to use your long division skills. Unfortunately, this interface doesn't lend itself well to showing you the actual long division problem, so try to follow the steps with me.

draw a division symbol (should look like half a rectangle). Put the 9 in front of the rectangle and a 2 inside it. Make the top of the rectangle long.

Note that the result of the division 2÷9 is not an exact value and is equivalent to recurring decimal 0.22... (which has 2 as the period).

Jims backpack weighs 3 kg when filled how many pounds is this approximately?

Answers

Answer:

6.6

Step-by-step explanation:

1 kilogram to pounds is 2.2 lbs

therefore, 3kg= 2.2× 3 lbs= 6.6 lbs

Answer:

approximately 6.6 lb

Step-by-step explanation:

1 kg equals approximately 2.2 lb.

Therefore (multiplying both sides by 3) we get

3 kg equals approximately 6.6 lb

When an antibiotic is introduced into a culture of 70,000 bacteria, the number of bacteria decreases at a continuous rate. After 5 hours, there are only 40,000 bacteria. Determine the the continuous rate. Round your answer to the nearest tenth of a percent. Use a positive sign if it is a continuous growth rate or negative sign if it is a continuous decay rate. Do not write the percent sign in your response.

Answers

Answer:

- 10.6 %   per hour

Step-by-step explanation:

By 'continuous rate'   I assume you mean linear  bacteria/hour

40 000 - 47 000 = - 30 000  bacteria  in 5 hours

- 30 000 bacteria / 5 hours =   - 6000 bacteria per hour

But then you ask for percentage....so maybe you want an exponential rate

then     40 000 = 70 000 ( 1 - x)^5      

            where x = decimal percentage , 5 = years

         solve for x = 10.588 %    DECREASE  per hour      

pls help me asap

Find the mean and standard deviation for the set of data.
{17, 20, 4, 15, 12, 6, 14, 13, 16}

Answers

Answer:

Standard deviation = 5.1

Mean = 13

Median = 14

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

The mean of a set of numbers is the sum divided by the number of terms.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

On his way to and home from work, John can ride his bike at a constant speed of 16 mph. If he lives 60 miles away from work, how much time does he spend commuting to, and returning from, work each day

Answers

Answer:

7.5 hours

Step-by-step explanation:

16 mph = 16 miles per hour

how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles

120/16

= 7.5 hrs

Which equation represents a line that passes through the two points in the
table?

Answers

B. When you substitute in the value of x and y, both sides with be equal.

y-3 = 2/3(x-3)
5-3 = 2/3(6-3)
2 = 2

look at the image.......

Answers

Answer: 70.9 miles per hour

Step-by-step explanation:

The total distance traveled is 1188 miles (66313- 65125).

Since this was over 16.75, you'll want to divide 1188 by 16.75.

1188/16.75 = 70.9253731

And then round that off to 70.9

What is the value of cos(Tan^-1 1)?

a. 2
b.square root 2
c. 2 square root 2
d. square root 2 over 2

Answers

Answer:

D

Step-by-step explanation:

So you have the equation: [tex]cos(tan^-1(1))[/tex]. So let's work in order and focus on the [tex]tan^-1(1)[/tex] part first. The inverse of tan is essentially taking in the value of [tex]tan(\theta)[/tex] and returning [tex]\theta[/tex]. And the value of [tex]tan(\theta)[/tex] can be defined as [tex]\frac{sin(\theta)}{cos(\theta)}[/tex]. So if you look at the unit circle, you'll need to look for two values that are exactly the same. You'll notice when the angle is 45 degrees, the value of sine, and cosine are the exact same. They're both [tex]\frac{\sqrt2}{2}[/tex]. So the inverse of tan(1 degree) = 45 degrees. Now we can literally refer to the same point, because when finding the cosine of 45 degrees, we can just use the x-value. This gives a solution of [tex]\frac{\sqrt2}{2}[/tex]

graph the inequality y > |x - 4| + 3

Answers

Answer: As graphed below.

Hope this helps ♥️

What are the solutions to the quadratic equation 2x + x = 3? - 1,2/-/- 1,3/- 1, -/-/- -1, - -/-/- (A) (B) (C) (D)​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{2x + 1x = 3}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(2x + 1x) = 3}[/tex]

[tex]\mathbf{(2x + x) = 3}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{3x = 3}[/tex]

[tex]\huge\textbf{Divide 3 to both sides:}[/tex]

[tex]\mathbf{\dfrac{3x}{3} = \dfrac{3}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{3}{3}}[/tex]

[tex]\mathbf{x = 3\div3}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defective. What is the probability that the first two electric toothbrushes sold are defective

Answers

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

[tex]P(E)=\frac{n(E)}{N}[/tex]

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

[tex](\left {{20} \atop {2}} \right. )[/tex][tex]=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190[/tex]

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

[tex](\left {{3} \atop {2}} \right. )[/tex][tex]=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3[/tex]

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

[tex]\frac{3}{190}\\ =0.01579\\=0.016[/tex]

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

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Triangle ABC has side lengths:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

ΔABC ≅ ΔHJK

What is the length of side HJ?

Answers

The length of HJ is 3.5 cm

What is Congruency?

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

As, ΔABC ≅ ΔHJK

So,

AB = HJ

BC = JK

AC = HK

Thus, HJ= AB = 3.5 cm

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The diagram shows the intersections of several straight roads. The avenues run parallel to each other.

First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet.

Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft

Answers

By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.

How to determine the distance?

By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.

By applying the property of similar triangles, the distance Amana walked is given by:

(AB + 113)/113 = (280 + 140)/140

(AB + 113)/113 = 420/140

(AB + 113)/113 = 3

AB + 113 = 3 × 113

AB + 113 = 339

AB = 339 - 113

AB = 226 ft.

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Answer: B. 226 ft.

Step-by-step explanation:  Trust Me! I got it correct on Edge.  

The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent?

A. 82
B. 62
C. 74
D. 90

Answers

The fewest reported number of text messages sent, given the data is 62 (Option B)

Data obtained from the questionData = 62, 74, 82, 90, 99Fewest number = ?

How to determine the fewest number

The fewest number in a given data is simply defined as the smallest number in the data.

Considering the data given from the question, we can see that the smallest number in the data is 62

Thus, 62 is the fewest number in the data.

Therefore, the correct answer to the question is 62 (Option B)

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Complete question

The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent? 62, 74, 82, 90, 99

A. 82

B. 62

C. 74

D. 90

If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x)

Answers

Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

The formula for the perimeter of a rectangle is P = 2 (1+w).

Answers

The equation of L is L = 0.5P - W

How to solve for L?

The formula is given as:

P = 2(L + W)

Divide through by 2

0.5P = L + W

Subtract W from both sides

L = 0.5P - W

Hence, the equation of L is L = 0.5P - W

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Complete question

The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.

What is the solution set for
O s-4 and x-16
O s--4 and s-4
Os--8 and s-8
Ox--16 and x-16
||-8₂

Answers

Answer:

4th option

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, that is

[tex]\frac{x}{2}[/tex] = 8 or - [tex]\frac{x}{2}[/tex] = 8

solving each equation

[tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 to clear the fraction )

x = 2 × 8 = 16

or

- [tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 )

- x = 16 ( multiply both sides by - 1 )

x = - 16

then x = - 16 , x = 16

Help pls asap
If sine < 0 and tans > 0 then:
OA. 180° << 270°
OB. 0° <9< 90°
C. 270° << 360°
OD. 90° << 180°

Answers

Answer:

The answer is C. 270° < ∅ < 360°

Step-by-step explanation:

Given information:

sine < 0 and tans > 0.

Quadrant where sine < 0 is either III or IV.

Quadrant where tans > 0 is either I or III.

It is Quadrant III that has both sines < 0 and tans > 0.

There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?

Answers

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

Speed

let

distance covered in first Part = d1distance covered in second Part = d2distance covered in third Part = d3speed covered in first Part = s1speed covered in second Part = s2speed covered in third Part = s3

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

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What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5
x minus 3.x – 3?

Answers

The slope of the line represented by the given equation is 0.8

Slope of a line

From the question, we are to determine the slope of the line represented by the given equation

The given equation is

[tex]y = \frac{4}{5} x-3[/tex]

The slope-intercept form of the equation of a line is given as

y = mx + c

Where m is the slope or gradient

and c is the y-intercept

By comparing with the given equation,

m = 4/5

m = 0.8

Hence, the slope of the line represented by the given equation is 0.8

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Prove that
cos^4∆ - sin^4∆ = 2cos^2∆ - 1

Answers

[tex]\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1[/tex]

How do you Calculate the mean,median and mode in grouped data.

Answers

Answer:

The mean:

data: 3,6,9,10

You first add all of the numbers together.

3+6+9+10= 28

There 4 numbers in the data set, so you divide 4 by the sum of all of the numbers.

28/4= 7

So the mean is 7.

The median:

data: 3,6,9,10

first put all of the numbers in numerical order.

3,6,9,10

Then you find the middle number in the data set.

3,6,(the middle number here),9,10

to find the middle number, do the mean of 6 and 9

The mean of 6 and 9 is 7.5

So, 7.5 is the median

another example: 3,4,7,9,13

The middle number is 7

so 7 is the median

The mode:

data: 3,6,9,10

The mode is the number that is repeated the most

in this data, there is no mode.

but in this data: 4,4,6,9,11

4 is the mode because it was repeated the most

30 mi / h = ____ ft / min
a.
2640
c.
880
b.
264
d.
2112

Answers

Answer:

its a 2640 trust me

Step-by-step explanation:

Answer: 2640 ft/min

Step-by-step explanation:

Observe this as a fraction 30 min/ 1 hr
First Convert miles to ft
1 mile = 5280 ft

so 30 miles * (5280ft/1 mile) = 30 * 5280 ft (Note miles unit cancels) = 158,400 ft

Then convert hours to minutes
1 hr = 60 min
158400 ft/1 hr * (1 hr/60 min) = 158400ft / 60 min (hr unit cancels) = 2640 ft/ min

The function f(x) is shown in the graph.
f(z)
Which type of function describes f(x)?
O Exponential
Logarithmic
Rationall
Polynomial

Answers

The function f(x) is shown in the graph is (a) an exponential function

How to determine the function type?

From the graph, we can see that:

The function starts from a baseIt then increases, exponentially

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

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You plan to conduct a survey to estimate the percentage of adults who have had chickenpox. Find the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults.

Answers

The number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

The true proportion of the population is not given, so we assume it to be 0.5, that is, p = 0.5.

Hence, q = 1 - p = 1 - 0.5 = 0.5.

Confidence level given = 90%.

Z-Score corresponding to 90% confidence interval (Z) = 1.645.

We are asked to find the sample size (n) when we want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults, that is, standard error (E) = 2% = 0.02.

By the formula of standard error, we know:

E = Z√[{p(1 - p)}/n].

Substituting the values, we get

0.02 = 1.645√[{0.5*0.5}/n]

or, 0.0004 = 2.706025*0.25/n

or, n = 2.706025*0.25/0.0004 = 1691.265625‬ ≈ 1691 {Since the sample size has to be a whole number}.

Thus, the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

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what is the slope of y=5/4x-7/4?

Answers

Answer:

5/4 or 1.25

Step-by-step explanation:

y=mx+b is the form of all linear equations

m is the slope

here m = 5/4 so the slope is 5/4 or 1.25

You enter a room. 2 dogs, 4 horses, one giraffe, and a duck are laying on a bed. 3 chicken are flying over a chair. How many legs are on the ground?.

Answers

Answer:

4 legs from the bed and 4 from the chair im guessing since not all have 4

Step-by-step explanation:

.

Answer:

36 legs

Step-by-step explanation:

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R.

4.9
4.7
2.5
2.3

Answers

Answer:

4.7

Explanation:

A point is positioned at minus two, seven. At one, zero, you'll find point R. Determine the value of Y. Regarding point Q. That is 2/3 of the distance between points P. So, negative two becomes positive seven. So, we have minus twenty-seven and 1 common zero. So, if we place a line between these, we must calculate the distance. First, you should be aware that you may achieve this using the distance formula. I prefer to conceive of it as the Pythagorean Theorem. So, the distance is 3^2 and 7^2, which is D^2. So, 9+49=58. And, we'll take the square root of it. As a result, the square root of 58=D. And, you want to be 2/3 the distance between points P and B. So, divide this by 2/3. So, this is close to 5.1. But, you want to get the Y value; found the distance, 2/3 of the way. When the distance is 5.1 instead of round 7.6, we've arrived at point P. We want to be 5. 1 yard away on this line. This is point P and we want to be at point Q. Since it'll have the same slope. As a result, the slope will be 7/3. So, it'll be proportionate 7. Since the square root of fifty-eight is too large. Route 58/3 is the destination. The square root of 258 is canceled. Such that 7=3y/2. 7x2=14/3=4.7. It's by locating comparable figures.

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Which inequality is true? 1.5 greater-than 2 and one-halfOne-half greater-than 0.5Negative 2.5 greater-than negative 1.5Negative 3 and one-half greater-than negative 4.5 On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).Which statement is true about the graphed function? F(x) < 0 over the intervals (-, -0.7) and (0.76, 2.5).F(x) > 0 over the intervals (-, -0.7) and (0.76, 2.5).F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ).F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ). Whose address is 3276 American Business Drive?O Everybody CountsO Ms. ThompsonO USA Publishers1-212 Educatel Why are Xpiyacoc and Xmucane important?They are the names of the two gods who destroy all human life with the flood.They are the divine beings who are the grandparents of the hero-twins.None of these answers.They are the supreme judges and lords of the underworld. TRUE or FALSE: The square root of R2 (the coefficient of determination) is r, the correlation coefficient. (remember that square roots are always positive) Help solve please H ( - 1) = 6 - x QUESTION 111. Part 2. Multiple ChoiceChoose the best answer from among the options for each question.Booker T. Washington's admonition to African-Americans to "Cast down your buckets" can be interpreted as all of the following except staying in the South rather than moving to the North. being willing to start at the bottom and work up. becoming as educated as possible by pursuing advanced college degrees. living separately but equally with whites.QUESTION 121. The biggest criticisms for Booker T. Washington's Atlanta Exposition Address came from African Americans who felt that he had not spoken out strongly enough for their civil rights. Southern whites who felt that he had insulted them. African Americans who felt that he had spoken out too strongly about civil rights. politicians who felt threatened by what he said. Ethan sold some watches at $14 each and 20 bookmarks at $1.50 each. Roy sold the same number of watches at $13.50 each and 20 bookmarks at $1.80 each. They collected the same amount of money. How many watches did Ethan sell? Ethan Roy watches 17-114 watches come total Bookmarks 20 $1.56-30 Bookmarly 20-11-80-36 Same total What are the two categories that include intellectual and knowledge-based assets? Explicit Knowledge; Tacit Knowledge. Efficient Knowledge; Tacit Knowledge. Intelligent Knowledge; Explicit Knowledge. Open Knowledge; Closed Knowledge. Guys I need help! You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your friend gets 1 point.If a 2, 3, or 4 is rolled, you get 1 point.After 108 rolls each, what scores should you expect?1. Friend: 54; You: 542. Friend: 54; You: 183. Friend: 18; You: 184. Friend: 18; You: 54 calculate the pressure of water in a well if the depth of the water is 10m What are the zeros of g(x)= x + 6x - 9x-54? Write as a single fraction-8c-d/9c+9C+4d/3c-5 A value that is used in a computation is known as an _____. Group of answer choices operand operator function clause Which of the following is NOT a question you need to ask yourself when editing and proofreading?A. Did I use parallel structure?B. Are my tenses consistent?C. Am I spending too much time proofreading?D. Have I used the appropriate style of language? For example, you should use Standard English if the writing is formal. Couples in which both partners follow the traditional gender roles (i.e., the man is masculine and the woman is feminine) tend to have Multiple Choice higher compassion. higher marital satisfaction. lower marital satisfaction. lower self-reliance. Southern Africa starts at which lake,that acts as a border between the northand the south?A. Lake Saint LuciaB. Lake ChadC. Lake Fundudzi Consider [tex]$\triangle ABC$ such that $BC = 3AC$ and $\angle A = \pi/6$[/tex]What are [tex]\[12 \sin(\angle B), 12 \sin(\angle C)\][/tex] in that order? One measure of the inflation rate is the a. percentage change in the CPI of adjacent years. b. sum of the CPIs of adjacent years. c. GDP minus the Real GDP in a year. d. percentage change in the Real GDP of adjacent years. You purchased 100 shares of ABC common stock on margin at $70 per share. Assume the initial margin is 50% and the maintenance margin is 30%. Below what stock price level would you get a margin call