what are the measures of <1 and <2 if they are in a 4:11 ratio

Answers

Answer 1

If the angles are complementary, we have that:

The measure of angle 1 is of 24°.

The measure of angle 2 is of 66°.

How to find the measures of ∠ 1 and ∠ 2 if they are in a 4:11 ratio?

If two angles exists complementary, the sum of their measures exists 90°.

In this problem, we suppose that angles 1 and 2 exists complementary, therefore, m1 + m2 = 90

The measures of angle 1 and angle 2 are in a 4: 11 ratio, thus:

[tex]$m_1=\frac{4}{4+11}=\frac{4}{15}\left(m_1+m_2\right)$[/tex]

[tex]$m_2=\frac{11}{4+11}=\frac{11}{15}\left(m_1+m_2\right)$\\[/tex]

Considering m1 + m2 = 90

[tex]$m_1=\frac{4}{15}\left(m_1+m_2\right)=\frac{4}{15} \times 90=4 \times 6=24$[/tex]

[tex]$m_2=\frac{11}{15}\left(m_1+m_2\right)=\frac{11}{15} \times 90=11 \times 6=66$[/tex]

The measure of angle 1 is of 24º.

The measure of angle 2 is of 66º.

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Related Questions

Whats 1+1?

(Just a joke)

Answers

Answer:

either 11 or 21

Step-by-step explanation:

tho I might be 2

Write two hundred thousand and
Seventeen in figures

Answers

Answer:

200,017

Step-by-step explanation:

2 at the front for 200,000 , and then you have 17 which are the last 2 digits

Evaluate if x = 4. x² + x = [?]​

Answers

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

x^2 - 2x

The value of x^2 - 2x for x = 4 is calculated as below

Now, substituting x=4 in the given equation, we get
x^2 - 2x = 4^2 - 2 x 4
= 16 - 8
= 8
Therefor, the answer is 8

There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?

Answers

Answer:

720

Step-by-step explanation:

If 1/7 of the tickets have not been sold, 6/7 of the tickets have.

840 * 6/7

720

three friends earned more than $200 washing cars. They pay their parents $28 for supplies and divided the rest of the money equally. right an equality to find possible amount each friend earned. Identify what your variable represents.

Answers

x is each friend

3x + 28 > 200

3x > 172

x > $57.33

if right can a i get brainliest pls

Answer:

Step-by-step explanation: $200-$28= $172

                                                $172÷3=$57.33

3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

[tex]-\frac{3}{4}=\frac{x}{24}[/tex]

STEP 2: Find the value of x

Cross multiply the equation

[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]

Divide both sides by 4

[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]

Hence, the value of x is -18

i need help with the image below

Answers

Answer:

A. k ≥ 8.14

Step-by-step explanation:

Hope this helps! :))

i need help but my chromebook doesn't accept the ads

Answers

Answer:

Whats the question?

There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
A person is selected at random.
What is the probability that this person uses at least 2 facilities?

Answers

4 + 12 + 5 + 15 = 36 persons utilize at least two facilities, with 4 of them using all three. Consequently, the likelihood that a randomly chosen individual who utilizes at least two facilities also uses all of them is

4/36=1/9

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

If four people use all three facilities,

then 16 - 4 = 12 of them use the gym and the track but not the pool, and 9 - 4 = 5 of them use the pool and the track but not the gym.

The pool and gym are used by 19 - 4 = 15 individuals, however the track is not used.

4 + 12 + 5 + 15 = 36 persons utilize at least two facilities, with 4 of them using all three. Consequently, the likelihood that a randomly chosen individual who utilizes at least two facilities also uses all of them is

4/36=1/9

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the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?

Answers

There are [tex]700[/tex] children and [tex]1300[/tex] adults.

What is system of linear equations?

A System of Linear Equations is when we have two or more linear equations working together.

Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.

Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]

The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].

Thus there are two linear equations to solve.

Substitute [tex]x=2000-y[/tex]  in  [tex]1.5x+5y=7550.[/tex]

[tex]1.5(2000-y)+5y=7550[/tex]

[tex]3000-1.5y+5y=7550[/tex]

[tex]3000+3.5y=7550[/tex]

[tex]3.5y=7550-3000[/tex]

[tex]3.5y=4550[/tex]

[tex]y=\frac{4550}{3.5}[/tex]

[tex]y=1300[/tex]

So [tex]x=2000-y=2000-1300=700.[/tex]

Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.

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an opinion poll of 4,000 (randomly selected) voters is con- ducted. the fraction of all voters in the population with an annual income above $50,000 is 35%. what is the chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled?

Answers

4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted

What is probabilty ?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

We have,

n = 4000

p = 0.35 , q=1-p=0.65

= E(X) = np= 4000 (0.35) 600 1400

6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662

Consider

P(X[tex]\geq[/tex]1450) = p 7

X-U

1450 1400

30.1662

=P(z>1,66)

=0.048457

from standard normal table,

Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled

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Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n

Answers

Answer:

X=11

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

Because, [tex](8*18+14)=(9*18-4)[/tex] is true

write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.

Answers

Answer:

y = 2/3 x - 1

Step-by-step explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3  Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b  Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1

answer: y= 2/3x - 1

to be parallel, you need the same slope but to pass through the point ( 3, 1), you would need a different y- intercept.

35. If 7-√5 / 7+√5= a +b√5, then find the value of a and b.​

Answers

Answer:a = (27 - 7 √5)/(22) - b √5b = [(22a - 27 + 7√5) √5]/110For finding a = Solve for a by simplifying both sides of the equation, then isolating the variable.b = Solve for b by isolating the variable by dividing each side by factors that don't contain the variable.
Therefore a=27/22 and b=-5/22

Match each ratio to an equal ratio. Drag the items on the left to the correct location on the right.

Answers

Answer:

30

Step-by-step explanation:

it doesn't seem to be correct question

x=3

Find the measure of the missing arc (dont worry about the degree symbol)

Answers

The formula to calculate the missing arc is,

[tex]m\angle T=\frac{1}{2}\times m\angle arcTS[/tex]

where,

[tex]m\angle arcTS=146^0[/tex]

Therefore,

[tex]\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}[/tex]

Hence, the answer is

[tex]\begin{equation*} m\angle T=73^0 \end{equation*}[/tex]

a 17 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 13 feet above the ground?

Answers

The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.

From the question, we have the following;

Hypotenuse=17 foot

Height(y)=13 feet

Base(x)=(17^2-13^2)^1/2

        =120^1/2 or sqrt(120)

The ladder against the wall is a right angle triangle, so we have:

x^2+y^2=17^2

x^2+y^2=289

Top slips down at 2ft/s

dy/dt=-2 ft/s, where height (y)=13ft

The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt

Now, we take the derivative with respect to time:

=x^2+y^2=17^2

=2x(dx/dt)+2y(dy/dt)=0

Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s

2(sqrt(120))(dx/dt)+2(13)(-2)=0

2(sqrt(120))(dx/dt)-52=0

We solve for dx/dt:

dx/dt=52/(2sqrt(120))

dx/dt=52/21.9089

dx/dt=2.373 ft/s

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Find the square root. V100

Answers

for the square root you must look for a number that multiplied with itself gives you the indicated value

for this case a number that multiplied by itself gives you 100

[tex]10\times10=100[/tex]

sothe square root of 100 is:

[tex]10[/tex]

Students A and B have probabilities of failing an exam of 1/2 and 1/5 respectively. The probability of them both failing the examination is 1/10. Determine the probability that at least one of the two students fail.​

Answers

Answer:

7/5

Step-by-step explanation:

1/2 + 1/5

probability that at least one of the two students fail is 7/5

3. What is the value of x to the nearest degree?

Answers

Check the picture below.

[tex]tan(x )=\cfrac{\stackrel{opposite}{13}}{\underset{adjacent}{6}}\implies tan^{-1}[tan(x)]~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right) \\\\\\ x~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right)\implies x\approx 65^o[/tex]

Make sure your calculator is in Degree mode.

3/4+(1/2+1/4) 2⋅2
NEED HELP.

Answers

Answer:

15/8 for exact form

1.875 for decimal form

And

1 and 7/8 for mixed number form

hope this helps you!

(also already in the simplest form :)

The image of the point (1, 1) under a translation is (0, 3). Find the coordinates of the image of the point (-4, "-1) under the same translation.

Answers

The image of the point (-4, -1) after the translation is:

(-3, 1)

How to identify the translation?

A translation:

Tᵃ'ᵇ applied to a point (x, y) gives:

Tᵃ'ᵇ(x, y) = (x + a, y + b).

In this case, we know that:

Tᵃᵇ(1, 1) = (1 + a, 1 + b) = (0, 3)

Then:

1 + a = 0

1 + b = 3

Solving these we get:

a = 1

b = 3 - 1 = 2

The translation is:

T¹'²

Applying this to the point (-4, -1) gives:

T¹'²(-4, -1) = (-4 + 1, -1 + 2) = (-3, 1)

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last question of the day :)

Answers

Answer:

0.5

Step-by-step explanation:

0.5 x 0.5 = 0.25

Answer:

x=0.5

Step-by-step explanation:

x=±√0.25

x=±0.5

x=0.5,−0.5

please help with this geometry question i attempted it but dont understand it

Answers

You have the following vertices of a triangle:

A(1,1)

B(4,1)

C(4,5)

For the translation four untis to the right, consider this kind of translation means that it is necessary to sum 4 units to the x-coordinate:

A(1,1) => A'(1+4,1) = A'(5,1)

B(4,1) => B'(8,1)

C(4,5) => C'(8,5)

Next, a translation three units up is done by adding 3 units to the y-coordinate of points A', B' and C':

A'(5,1) => A''(5,1+3) = A''(5,4)

B'(8,1) => B''(8,4)

C'(8,5) => C''(8,8)

Next, a reflection around y=-1 consists in subtracting to the y-coordinate units equivalent to the vertical distance to the line y =-1, just as follow:

for the point A''(5,4) you can notice that the vertical distance of the y-coordinate, which is 4, to the line y=-1 is 5 units, then, it is necessary to subtract 5 units to such line:

A''(5,4) => A'''(5,-1-5)=A'''(5,-6)

for the point B''(8,4), the distance is again 5 units, then, you have:

B''(8,4) => B'''(8,-1-5) = B'''(8,-6)

for the point C''(8,8) the distance from y-coordinate y=8 to the line y=-1 is 9 units, then, yu subtract 9 units to -1:

C''(8,8) => C'''(8,-1-9) = C'''(8,-10)

Hence, the final points are:

A'''(5,6)

B'''(8,-6)

C'''(8,-10)

Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?

Answers

Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

What is cosine function?

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

What is Graph?

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

If a rectangle has a length of 6cm and a width of 4cm what is it's area​

Answers

Answer:

area = l×b

= 6×4

. = 24 cm²

Step-by-step explanation:

this is the answer

Start by using 6x4 and get 24cm Square

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

did not understand waht should we do

Determine the rate at which the sloth travels.
Justify your answer.
Distance (ft)
987654MN-
6.
3-
2
1
0
Speed of a Sloth
1 2
3 4
Time (min)

Answers

The rate at which the sloth travels as required in the task content is; -22ft/min.

Speed as a rate of distance with respect to time.

It follows from the task content that the rate at which the sloth travels is to be determined.

Since the correct representation of the data is such that the distance and corresponding time pairs are as follows;

(98, 1) , (76, 2) , (54, 3), (32, 4).

Hence, the rate of distance change per time is the speed of the sloth and hence, the rate of distance change is;

Rate = ∆Distance/∆time.

Rate, R = (98 - 76)/(1 - 2)

Rate, R = 22/-1

R = -22 ft/min.

Ultimately, the rate at which the sloth travels is therefore; -22 ft/min.

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When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 5.x2 + (10x2 + 10) = 3x? First Step: 15x2 + 10 = 3.2 commutative property of multiplication commutative property of addition multiplication property of equality

Answers

The original equation is:

5 x^2 + (10 x^2 + 10) = 3 x^2 - 5

The first step the person did was:

15 x^2 + 10 = 3 x^2 - 5

so in this first step the person used the associative property of addition by associating 5 x^2 with 10 x^2 and combining them to give 15 x^2.

Please check if there is an option that states such among your options.

a company produces very unusual CD's for which the variable cost is 8$ per CD and the fixed costs are $30000. They will sell the CD's for $63 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced.C=$___Write the total revenue R as a function of the number of CD's produced R=$_______Write the total profit P as a function of the number of CD's producedP=$______Find the number of CD's which must be produced to break even.The number of CD's which must be produced to break even is_______

Answers

Remember that to model this kind of problems, we can use the equation of a straight line

[tex]y=mx+b[/tex]

Where:

• b, are the fixed costs

,

• x ,represents what varies

,

• m, is the cost of what varies

1. Therefore, using the data provided, we can model the cost of production with a function where:

• x ,is the numbers of CD's produced

,

• C, is the cost of producing those CD's

[tex]C=8x+30000[/tex]

2. To model the revenue, we'll have to take into account that every CD sells at $68. Therefore, the money collected by selling the x CD's produced is:

[tex]R=63x[/tex]

Where:

• x ,its the number of CD's produced and sold

,

• R, is the total revenue

3. To get the profit, we'll have to substract the production cost to the money collected by the sale. Remember we already have two expressions, in terms of x, that describe both situations. Therefore,

[tex]\begin{gathered} P=R-C \\ \rightarrow P=63x-(8x+30000)\rightarrow P=63x-8x-30000 \\ \rightarrow P=55x-30000 \end{gathered}[/tex]

Where:

• x ,its the number of CD's produced and sold

,

• P, is the total revenue

4. In order to break even, the revenue (R) has to be equal to the cost of production (C), Thus,

[tex]\begin{gathered} R=C\rightarrow63x=8x+30000 \\ \rightarrow63x-8x=30000 \\ \rightarrow55x=30000\rightarrow x=\frac{30000}{55} \\ x=545.5 \\ \text{Rounding to closest integer,} \\ x=546 \end{gathered}[/tex]

Therefore, 546 CD's would have to be produced to break even.

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HELP!!!!Map Work - Label the countries of Central America (Guatemala, Belize, El Salvador, Honduras, Nicaragua, Costa Rica, and Panama) and the countries that generally make up the Greater Antilles (Cuba, Jamaica, Hispaniola, and Puerto Rico). Finally, circle and label the Lesser Antilles and the Islands of the Bahamas. 13 POINTS Who is the president of Georgia? What criteria would you use to evaluate health services 1. 9c-3c=48A) c=9B) c=3C) c=4D) C=8 in the video, jason oxman, ceo of electronic transaction association, refers to the fact that some credit card car rental insurance programs do not cover particular types of cars and trucks. according to the text, this is referred to as a(n) coverage. Marco states that 7.696696669...... is a rational numberbecause it is a repeating decimal. Is he correct? Justifyyour answer.Yes he is correct because it keeps going and going and it will go on forever and ever so that is my guess please help 40 points!! Please help meee I really need help on this one. 30 points! And brainliesta. the amount of work done is __________(equal to, greater than, less than) the amount of energy usedb. power is the rate of __________ (energy use, work done, force)c. the greater the work done. the _________(equal, greater, smaller) power neededd. The two factors that affect the amount of work done are _________ and ______________(mass, force, power, length, with, displacement)choose the correct answer from the parentheses for each sentence Why would it be helpful for the Catholic Church to have clearly defined doctrines? What is the y intercept of this equation10x+5y=30Write answer in (x,y) during a routine physical exam of a 90 year old woman, a low pitched diastolic murmur is auscultated. it is located on the fifth ics on the left side of the midclavicular line. what is the correct diagnosis? Which of the following are true of early theories of absolutism? Select all that apply.Bossuet argued that there were no legal limitations or constraints placed on the monarch save that he was answerable to God.Hobbes argued that people obeyed the monarch primarily from a place of fear of retribution.Bossuet firmly rejected the principle of divine right monarchy, arguing that the authority of the monarch was predicated on the submission of the people to his or her will.Bodin argued that the monarch should act as a beneficent paternal figure whose primary function was law making.Locke promoted the idea that the monarchs exercised absolute power within the bounds of the social contract, which was divinely ordained and fundamentally unbreakable. What is responsible for giving the plasma membrane the ability to block most ions and polar compounds from crossing?. How was the economy of Sparta different than the economy in Athens? In Sparta, the economy was centered around sea trade. In Sparta, the economy was focused on creating arts for trade. In Sparta, the army was the center of the economy. In Sparta, the economy featured a large and powerful merchant class. Find the length of arc CD. Use 3.14for tt. Round to the nearest tenth.h 7.9 cm66.40D[? ]cm Use the tangent to find the length of side PR. Express your answer to the nearest tenth. P 559 The length of side PR is approximately units. Use the quadratic formula to solve for X 5x^2 +2x=2 Why is it important toline up the digits in each place-value position when subtracting? x+6x-5x=x+114 Please help. find the are and perimeter