The population of a small country is 2.437 million and its national debt is $6.39 billion. What is the amount of debt per person? Round to the nearest whole number.

Answer:

Equation: [tex]\sf 3x + x + 14 = 90[/tex]

m∠1 = 57°

m∠2 = 33°

Explanation:

A right angle triangle has 90° angle measure.

Here:

m∠1 + m∠2 = 90°

(a)

Substitute given values:

(3x) + (x + 14) = 90

simplify

4x = 90 - 14

evaluate

4x = 76

divide both sides by 4

x = 19

(b)

m∠1 = 3x = 3(19) = 57°

m∠2 = x + 14 = 19 + 14 = 33°

Answer:

[tex]\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]

[tex]\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}[/tex]

       [tex]m \angle 2=\boxed{33}\:^{\circ}[/tex]

Step-by-step explanation:

From inspection of the given diagram:

A right angle is 90° and is represented by the ∟ symbol.

To find x, equal the sum of the angles to 90° and solve for x:

[tex]\implies m \angle 1+m\angle2=90^{\circ}[/tex]

[tex]\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]

[tex]\implies 3x+x+14=90[/tex]

[tex]\implies 4x+14=90[/tex]

[tex]\implies 4x+14-14=90-14[/tex]

[tex]\implies 4x=76[/tex]

[tex]\implies 4x \div 4=76 \div 4[/tex]

[tex]\implies x=19[/tex]

To find the degree measure of each angle, substitute the found value of x into the expression for each angle.

[tex]\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}[/tex]

[tex]\implies m \angle 2=(19+14)^{\circ}=33^{\circ}[/tex]

Answer:

(5, 6 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(- 6, - 5 ) → (5, 6 )

Answer:

3^-2

Step-by-step explanation

Subtract the exponent on the denominator from the exponent on the numerator

5-7=-2

keep the 3 and apply the -2 exponent

Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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Answer:

MSN < LSO

Step-by-step explanation:

Identical Shapes which makes them linear pairs because they pair with each other.

Thanks Please Mark Brainliest, (Trying to rank to genius)

Answer:

x= -85/33 ; y=2

Step-by-step explanation:

The simultaneous equation first when we add the y vale become 2, y=2 then to get x value the first equation multipled by -7 & the second equation by 4 the we will gate x=-85/33

Answer:

4

Step-by-step explanation:

16x4=64

Answer:

4 chapters

Step-by-step explanation:

If Raj can read 1 chapter in 16 minutes you need to figure out how many times 16 goes into 64. Divide 64 by 16 and you get 4. Which means Raj can read 4 chapters in 64 minutes.

Answer:

kmskswwkwwekeke NM. smsskskks

Answer:

2l + 2w

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

2(l + w)

= 2l + 2w

It will take 2 hours 48 minutes for the two trains to meet.

For given question,

Two trains leave stations 560 miles apart at the same time and travel toward each other.

One train travels at 95 miles per hour while the other travels at 105 miles per hour.

This means the speed one train is 95 mph while the speed of other train is 105 mph.

Let t be the time in hours for two trains to meet.

From given scenario,

⇒ 560 = (105 + 95)t

⇒ 560 = 200 t

⇒ t = 2.8 hours

1 hour = 60 minutes

So, 0.8 hours = 48 minutes

⇒ 2.8 hours = 2 hours 48 minutes

This means, both trains meet after 2 hours 48 minutes

Therefore, it will take 2 hours 48 minutes for the two trains to meet.

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Step-by-step explanation:

there is no "x" in the whole scenario.

you and your teacher mean "h" ?

this we get by using Pythagoras, because h, half of the baseline and one of the 51 m sides create a new right-angled triangle :

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

so, for that new inner triangle we have then

51² = h² + (48/2)² = h² + 24²

2601 = h² + 576

h² = 2025

h = 45 m

The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem states that for a right angled triangle:

Hypotenuse² = Adjacent² + Opposite²

To prove that a triangle with side lengths of 2 mm, 2.5 mm, and 3 mm a right triangle:

3² = 2² + 2.5²

9 = 4 + 6.25

9 ≠ 10.25

The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.

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Answer:

the answer is x=17,y=14/3

Answer:

x=4 y=5

Step-by-step explanation:

8x-9y=-13

2x-3y=-7

Solve for y:

Multiply the bottom by 4 to have the x's equal each other and cancel out:

8x-9y=-13

8x-12y=-28

Then subtract:

0x+3y=15

y=15/3 -> y=5

Solve for x:

Multiply the bottom by 3 to have the y's equal each other and cancel out:

8x-9y=-13

6x-9y=-21

Then subtract:

2x=8

x=4

Answer:

Yes

Step-by-step explanation:

Wouldn't there be 3? because lines of symmetry is basically two lines that look the same and are the same. so the points on the end counts as 2 since it's on opposite side, and the two lines in middle count as 1. So I am going with 3 symmetrical lines amount.

The value of a is zero from the given expression

Subject of formula is a way of representing a variable with another variable.

Given the expression below;

5=5/ax+1

We are to make x the subject of the formula

1 =1/ax+1

Cross multiply

ax+1 = 1

ax =  1-1

ax = 0

Find the value of a

a = 0/x

a = 0

Hence the value of a is zero from the given expression

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Answer:

approximately 13.333333....

Step-by-step explanation:

2/3=0.66666...

80/0.66666...=13.333333..

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right.

Everyone learns how to count numbers at a very young age starting from a single digit up to seven digits. This is done with the help of the place value system.

While writing large numbers, we always keep the place value system in mind to ensure that it is written correctly. According to the Indian place-value system, when a number is written in the standard form, each group of digits separated by a comma is called a period.

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right. The thousands period consists of the next two digits. The lakhs period consists of the next two digits and it continues.

Some other large numbers are read and written as follows:

1,000,000,000 = one billion

1,000,000,000,000 = one thousand billion

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By substituting the value of x as 17 in the function R (x) = 2 x + 3.5, we get the value of R ( 17 ) as 37.5.

We are given a function:

R (x) = 2 x + 3.5

where x represents the number of feet the tide moves x minutes after 4 pm.

Now, we are asked to find R (17)

For this, we need to substitute the value of x as 17 that is we need to put x = 17 in the function that is given to us.

R ( x = 17 ) = 2 ( 17 ) + 3.5

R ( 17 ) = 34 + 3.5

R ( 17 ) =37.5

Therefore, by substituting the value of x as 17, we get the value of R ( 17 ) as 37.5.

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w=28t+600

908 liters

here you go :)

Answer:

9514 1404 393

Step-by-step explanation:

Answer:

the area is 88

Step-by-step explanation:

2(wl+hl+hw) <- formula

Answer:

Step-by-step explanation:

18.95+.16 = 19.11

answer is 2 miles is the maximum

Mean height of the students in the class = 65.7 inches

The mean height of all 12 students in the class is 66.0 inches.

So the Total height of 12 students in the class = 66 × 12

                                                                              = 792 inches

As Danielle's height = 62.1 inches

So the total height of 13 students = 792 + 62.1

                                                        = 854.1 inches

Mean of all 13 students in the class = 854.1 / 13

                                                            = 65.7 inches

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The complete question:

Mr. Zuro finds the mean height of all 12 students in his class to be 66.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 62.1 inches tall. What is the mean of the 13 students in the class?

Answer:

fx 2

gy

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vct5

yguutfufyhdyts, us f Rd dgidtetdigdeieot

Answer:

(f/g)x = (x - 3)/(2x - 3). Step-by-step explanation: Try and see if f(x) can be factored. g(x) = (2x - 3) (2x + 3).

Step-by-step explanation:

The required weight after 43  hours is 72. 96mg

From the information given, we have that;

A Scientist begins with 180 milligrams of a radioactive substance

Let us take Po = 180 milligrams

Using the expression;

[tex]P(t) = Poe^k^t[/tex]

Substituting the values of t = 33, P = 90mg and Po = 180

90 = 180e^33t

[tex]e^3^3^t = \frac{1}{2}[/tex]

Take the log of both sides

[tex]33ln(e^k) = ln (\frac{1}{2} )[/tex]

[tex]k = -\frac{ln 2}{33}[/tex]

k = - 0. 0210

The equation becomes: P(t) = 150e^-0.0210

Substitute t as 43

[tex]P(43) = 180e^-^0^.^0^2^1^0 ^*^4^3[/tex]

P(43) = 72. 96 mg

Hence,  72. 96 mg will remain after 43 hours.

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Hello,

3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy

Option a, 2x + 1, 6 and 13, 7 and 15.

Here, we are given input-output table as shown in the figure.

To find the equation for this table let us look at each option one by one-

a. 2x + 1

Here if we take input x = 2

output = 2(2) + 1

= 5

If x = 3

output = 7

and if we check for other values also, 2x + 1 will satisfy.

Thus, 2x + 1 is the correct equation.

we can check the points as well-

if x = 6

output = 2(6) + 1 = 13

and if x = 7

output = 2(7) + 1

= 15

Since, we've found the correct answer in option a, we do not need to check the other options.

Thus, option a is the correct answer.

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Answer:

x>-4, x<=27.5

Step-by-step explanation:

First mark your digits on the number line. For question 9, it seems that x>-4, so mark that on your number line and draw an empty circle with an arrow pointing right.

For 13 multiply both sides by 5/4, and your answer is 27.5>=w. Mark it down with a filled in circle and an arrow going to the left.