Geometry: Angle
d) If 2p° and (p + 15)° are a pair of complementary angles, find them.
e) If x° andare a pair of supplementary angles find them.
f) If pair of complementary angles are in the ratio 4:11, find them.
g) If a pair of supplementary angles are in the ratio 7:5, find them.​

Answers

Answer 1

Answer:

d) 2p° and (p+15) ° are complementary angles.

2p° + p° + 15° = 90°

3p° = 90° - 15°

p° = 75°/3

p = 25°

Now, 2p° = 2×25° = 50°

(p+15)° = 25°+15° = 40°

e) x° and x°÷4 are supplementary angles.

x° + x°÷4 = 180°

4x + x = 180°×4

5x = 180°×4

x = 180°×4/5

x° = 36° × 4 = 144°

And x°÷4 = 144/4 = 36°

f) Complementary angles in the ratio 4:11

Let the angles be 4x and 11x .

4x + 11x = 90°

15x = 90°

x = 6°

Now, 4x = 4×6 = 24°

11x = 11×6 = 66°

g) Supplementary angles in the ratio 7:5.

Let the angles be 7x and 5x.

7x + 5x = 180°

12x = 180°

x = 180°/12

x = 15°

Hence, 7x = 7×15 = 105°

5x = 5×15 = 75°.


Related Questions

Does anyone get this ? if so can u lmk the answer thxxxx:)

Does anyone get this ? if so can u lmk the answer thxxxx:)

Answers

4 is the correct answer

Arrow is not directed towards box

Shern goes to the BX with $19. She buys a gift for her mom that costs $7.25. She also needs to make sure that she has $2.75 left when she leaves the BX to buy lunch the next day. She sees that bags of Skittles are on sale for $0.50 each. How many bags can she buy to have as many bags as possible. Write and solve an inequality to represent the situation. Show your work. (10 points) Your answer:

Answers

Answer:  16

Step-by-step explanation: when ur doing subtacting  ur gonna notice a pattern like 11.25 10.75 10.25 9.75 9.25 because if u start with 19 and minus 0.50 the u get ur answers 16 the 11.25 dosnt count because that for the gift after u spend 7.24 on the gift ur gonna have 11.25 and keep couniting down but also keep tract on how many it takes to get to 2.75

2xy +1 = 1
solve for x

Answers

Answer:

the answer of this question is 0

A. First, convert this equation into y-intercept form

y = 2x + 1

B. 2 is the slope: 1 is the y-intercept

Then, plug in 1 for y and solve

C. 1 = 2x + 1

Therefore, x is 0

hey! i’ll give brainliest help thanks

hey! ill give brainliest help thanks

Answers

Answer:

B

Step-by-step explanation:

A story about someone's life, written by that person.

Good luck with the rest!

Answer:

Option B, A story about a person's life, written by that person

Step-by-step explanation:

We can take Autobiography, the term auto refers to by one's self, therefore autobiography would mean a story written by a person about them selves.

Hope this helps!

What error did the student make when plotting the point (3, 4) according to the picture?

What error did the student make when plotting the point (3, 4) according to the picture?

Answers

Answer:The student plotted the y in place of the x corridinte

Step-by-step explanation:hope that helps

The student confused the x and the y coordinate. The student plotted (4,3)
A is the correct answer

Twelve is fourteen plus an un-
known number.

Answers

Answer:

The unknown number is -2

Step-by-step explanation:

Let n represent the unknown number then...

12=14+n

Subtract 14 from both sides:

12-14=14-14+n

-2=n

n=-2

Plsss help ASAP This is the question

Plsss help ASAP This is the question

Answers

Answer: 81

since it's the 4th power then you do 3x3x3x3= 81

Step-by-step explanation:

when you do partition, you only have to compare the median of medians with elements that you do not already know how they compare. how many such elements need to be compared to the median of medians.

Answers

When using the partition algorithm, the goal is to divide a set of elements into two subsets based on a chosen pivot element. This pivot element is typically chosen as the median of the set or a close approximation to it.

To find the median of the set, we first divide it into groups of 5 (or any other fixed number). We then find the median of each group, which will give us a set of medians. We can then recursively find the median of this set of medians, which will give us an approximate median for the entire set.

Once we have the pivot element, we can compare it to each element in the set and divide them into two subsets based on whether they are greater or less than the pivot element. However, we do not need to compare the pivot element to every element in the set.

We only need to compare the pivot element to the elements that we do not already know how they compare. These are the elements that are in different subsets than the pivot element.

For example, if the pivot element is greater than a certain element, we know that this element is in the subset that contains elements less than the pivot. Therefore, we do not need to compare the pivot element to this element.

In general, we only need to compare the pivot element to approximately half of the elements in the set. This is because each comparison will divide the set into two subsets, one of which we already know the relationship to the pivot element.

In conclusion, when using the partition algorithm, we only need to compare the median of medians to approximately half of the elements in the set, those that we do not already know how they compare.

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why is the number 2,500 rational

Answers

Answer:

because it can be written as a fraction 2500/1

Step-by-step explanation:

PLS HELP PLS PLS WILL MARK BRAINIEST

PLS HELP PLS PLS WILL MARK BRAINIEST

Answers

Clara’s wrapping paperweight friend is a conical shape with a slanted base.

What is weight?

Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.

It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.

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Consider the arithmetic sequence 21, 30, 39, 48, … and determine the number of terms that lie between
390 and the 29th term.​

Answers

Answer:

first add 390 to 29 then, divided it to the sequence and there's your answer

Answer:

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381,

Common rhg\(t(29) = 21 + (29 - 1)9\)

\( = 21 + (28)9\)

=21+252

=273

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381

the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to

Answers

I am sorry but I do not know but if someone else know help

Whole numbers from 3 to 30. List the numbers less than 7 or prime

Answers

1 3 5 7 9 is the only number I can find

Which equation represents the line that passes through the point (-3, -3) and is perpendicular to the line 2y + x = 4?

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

to find the slope we can convert the equation into slope-intercept form

2y + x = 4

subtract x from both sides

2y = -x + 4

then divide everything by 2

y = (-1/2)x + 2

a perpendicular slope is the opposite reciprocal of the original slope

basically -1/2 turns into 2

the equation in slope intercept form is y = 2x + b and we have to find b

we can plug the points in

-3 = 2(-3) + b

multiply

-3 = -6 + b

and add

b = 3

y = 2x + 3 is your answer

Answer:

y=-3

Step-by-step explanation:

The x intercept is (4,0)

The y intercept is (0,2)The answer in y-mx+b Y=-1/2x+2

the y answer = 2-x/2

the x answer = x=4-2y

standard form = 2y+x=4

slope m=-1/2

NEED HELP ASAP WILL MARK BRAINLIEST

NEED HELP ASAP WILL MARK BRAINLIEST
NEED HELP ASAP WILL MARK BRAINLIEST

Answers

Answer: answer one is hard to read             Answer 2: 0.0020661157

Step-by-step explanation:

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760= 484

How do you simplify 3?

Answers

14 divided by 3?

I’m not sure but I hope this is useful
You can’t simplify three



as estimate √200 to the nearest who le numbers

Answers

Answer:

10√2

or in decimal form:

14.1

Hope this helps! <3

14

(Blank space filler)

Line k has a slope of 1/3. Line j is perpendicular to line k and passes through the point (1,4). Create an equation for line j.

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, and that line "k" has a slope of 1/3, then

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1}\implies -3}}\)

so for line "j" we're really looking for the equation of a line whose slope is -3 and that it passes through (1 , 4)

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 3}(x-\stackrel{x_1}{1}) \\\\\\ y-4=-3x+3\implies {\Large \begin{array}{llll} y=-3x+7 \end{array}}\)

3. find the sum, if it exists, of the infinite geometric series s = 21+9+3.86 +....
o s = 36.75
=
this infinite geometric series diverges.
o s = 12.1
o s= 15.75

Answers

Answer:

  (a)  s = 33.75

Step-by-step explanation:

You want the sum of the infinite geometric series that begins 21 +9 +3.86 +....

Estimate

The ratio of the first two terms is 9/21 = 3/7. This is a value less than 1, so you know the series converges. The first two terms have a total of 21+9 = 30, so you know the sum is more than 30 and last two answer choices are incorrect.

Of the available answer choices, the most likely answer is 36.75.

Calculation

The formula for the sum of an infinite series with first term a1 and common ratio r is ...

  S = a1/(1 -r)

Here, the first term is 21 and the ratio is 9/21 = 3/7, so that sum is ...

  S = 21/(1 -3/7) = 21·7/4 = 33.75

The sum of the series is 33.75.

3. find the sum, if it exists, of the infinite geometric series s = 21+9+3.86 +.... o s = 36.75 = this

Please help me with this math problem!! Will give brainliest!! :)

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

\(2x^3-3x^2-10x+15\\\)

Step-by-step explanation:

To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

\((fg)(x)=(-2x+3)(5-x^2)=-10x+2x^3+15-3x^2\\\)

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

\(2x^3-3x^2-10x+15\)

Determine which integer makes the inequality 4(n − 8) < 2(n + 6) true.

Answers

The integer which makes the inequality  4(n − 8) < 2(n + 6) true is n < 22

The inequality is  

4(n − 8) < 2(n + 6)

Th inequality is the defines as the relationship between one variable and another variable except equal. The relationship maybe less than, less than or equal to, greater than and greater than or equal to

The inequality is  

4(n − 8) < 2(n + 6)

Expand the terms

4n - 32 < 2n + 12

4n - 2n < 12 + 32

2n < 44

n < 44/2

n < 22

Hence, the integer which makes the inequality  4(n − 8) < 2(n + 6) true is n < 22

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Answer:

I think it is 44

Explanation:

The one above me is wrong because if you put 22 then it would be equal not less than that and I also marked it in a test and I got it wrong.

Hope this helps!

Please MARK ME BRAINLIEST PLEASE (Only if it helps)

How are the green triangle and red triangle similar?

How are the green triangle and red triangle similar?

Answers

Answer:

They are the same but one the red one is scaled up.

Alison, Hector, and Myles had a challenge to see who could run the farthest in a month. Alison ran 21 miles. Hector ran 5 times as many miles as Myles, and Myles ran 2 times as many miles as Alison.

How many miles did Hector run?

Answers

Myles ran 2 times what alison ran:
2x21 = 42

Hector ran 5 times as many miles as Myles:
42x5 = 210

therefore Hector ran 210 miles.

Shape A can be transformed to shape B by a rotation 90° clockwise about (-1 1) followed by a translation by vector (a b) find the value of a and b​ PLEASE HELP

Shape A can be transformed to shape B by a rotation 90 clockwise about (-1 1) followed by a translation

Answers

The translation vector is

a = 6

b = -2

How to find the translation

The transformation rule for 90 degrees clockwise rotation is

(x, y) → (y, -x)

Using reference side (-3, -3). 90 degrees clockwise rotation will result to

(-3, -3) → (-3, 3)

The location  (-3, 3) is compared with (3, 1) we have that

-3 + x = 3, x = 3 + 3 = 6

3 + y = 1, y = 1 - 3 = -2

hence the vector is (6, -2), a = 6 and b = -2

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An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:D:quadrant IV

Step-by-step explanation:

You welcome

Answer:

B. quad 2

Step-by-step explanation:

Other person is wrong, its b edge 2021

Suppose that the velocity
v(t)
(in meters per second) of a sky diver falling near the Earth's surface is given by the following exponential function, where time t is the time after diving measured in seconds.
v(t)=71-71e^-0.19t
How many seconds after diving will the sky diver's velocity be 59 meters per second?
Round your answer to the nearest tenth, and do not round any intermediate computations.

Answers

Approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

What is the velocity function for a sky diver falling near the Earth's surface?

The velocity function for a sky diver falling near the Earth's surface is given by the exponential function \(v(t) = 71 - 71e^(-0.19t)\), where t represents the time after diving measured in seconds.

To find the number of seconds after diving when the sky diver's velocity is 59 meters per second, we need to solve the equation:

\(59 = 71 - 71e^{(-0.19t)}\)

Let's solve it step by step:

Subtracting 71 from both sides:

\(-12 = -71e^{(-0.19t)}\)

Dividing both sides by -71:

\(e^{(-0.19t)} = \frac{12}{71}\)

Taking the natural logarithm (ln) of both sides to eliminate the exponential:

\(ln(e^{(-0.19t)}) = ln(\frac{12}{71})\\-0.19t = ln(\frac{12}{71})\)

Now, we can solve for t by dividing both sides by -0.19:

\(t =\frac{ln(\frac{12}{71})}{-0.19}\)

Using a calculator or a software, we find:

t ≈ 9.356 seconds (rounded to three decimal places)

Therefore, approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

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Problem 3: Using the Laplace transform and partial fraction expansion method, find the inverse Laplace transform f(t) of the following functions. a. \( F(s)=11+\frac{4}{s}+\frac{12}{7 s^{3}}-\frac{20}

Answers

The inverse Laplace transform of F(s) is f(t) = -10.2857

To find the inverse Laplace transform of the given function F(s), we need to use the partial fraction expansion method. The function F(s) is:

F(s) = 11 + (4/s) + (12/(7s^3)) - 20

Step 1: Factorize the denominator of the fraction with s.

F(s) = 11 + (4/s) + (12/(7s^3)) - 20

= 11 - 20 + (4/s) + (12/(7s^3))

Step 2: Express F(s) as a sum of partial fractions.

F(s) = (-9) + (4/s) + (12/(7s^3))

Step 3: Write the partial fraction decomposition.

F(s) = -9 + (A/s) + (B/s^2) + (C/s^3)

Step 4: Clear the fractions and find the values of A, B, and C.

Multiplying through by the common denominator (s^3), we get:

-9s^3 + As^2 + Bs + C = 4 + 12s + 7s^2

Matching coefficients on both sides, we have:

Coefficient of s^3: -9 = 7 (implies A = -9/7)

Coefficient of s^2: 0 = 1 (implies B = 0)

Coefficient of s^1: 0 = 12 (implies C = 0)

Coefficient of s^0: 0 = 4 (implies -9s^3 = 4)

Therefore, A = -9/7, B = 0, and C = 0.

Step 5: Rewrite F(s) in terms of the partial fractions.

F(s) = -9 + (-9/7s) + (0/s^2) + (0/s^3)

= -9 - (9/7s)

Step 6: Take the inverse Laplace transform of F(s) to find f(t).

f(t) = -9 - (9/7) * L^(-1){1/s} (using the property L^(-1){1/s} = 1)

= -9 - (9/7) * 1

= -9 - 9/7

= -9 - 1.2857

= -10.2857

Therefore, the inverse Laplace transform of F(s) is f(t) = -10.2857.

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the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

f(x) = square root 32x
g(x) = square root 2x

f(x) = square root 32x g(x) = square root 2x

Answers

Given:

The two functions are:

\(f(x)=\sqrt{32x}\)

\(g(x)=\sqrt{2x}\)

To find:

The \((f\cdot g)(x)\). Assume \(x\geq 0\).

Solution:

We have,

\(f(x)=\sqrt{32x}\)

\(g(x)=\sqrt{2x}\)

Now,

\((f\cdot g)(x)=f(x)\cdot g(x)\)

\((f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}\)

\((f\cdot g)(x)=\sqrt{32x\times 2x}\)

\((f\cdot g)(x)=\sqrt{64x^2}\)

\((f\cdot g)(x)=8x\)

Therefore, the correct option is A.

Convert 21.73 m to customary units.

The smallest tick mark on 1" = 1' 0" architect’s scale is ………… inch/inches.

A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". What is the length of the line in inches. [roundoff the answer to one decimal places]

Multiply 3/5 x 17/13 and reduce answer to lowest form of fraction. (mixed fraction if applicable)

Answers

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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