Find the measures of two complementary angles if the measure of the larger angle is 2 less than 3 times the measure of the smaller angle. The measure of the smaller angle is
°,
and the measure of the larger angle is
°

Answers

Answer 1

The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.

What are complementary angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

So we can say that two angles are complementary if they sum up to 90 degrees.

From the given statement;

let the larger angle = ylet the smaller angle = x

y = 3x - 2  -------(1)

y + x = 90  --------(2) (since they are complementary)

substitute for y in equation (2)

3x - 2 + x = 90

4x = 92

x = 92/4

x = 23 ⁰

y = 3(23) - 2

y = 67⁰

Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.

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Related Questions

Please Help! <3 ASAP
i don't understand T.T

Answers

Answer:

3.2 miles

Step-by-step explanation:

Yesterday: 2.35 miles

Today: 2.45 miles

Total of today and yesterday: 2.35 miles + 2.45 miles = 4.8 miles

Goal: 8 miles

Number of miles left to do:

8 miles - 4.8 miles = 3.2 miles

Answer: 3.2 miles

Line c passes through points (5, 1) and (9, 8). Line d is parallel to line c. What is the slope of line d?

Answers

The slope of line d is m =7/4.

Given c points (5,1) and (9,8).

and the d line is parallel to line c.

We have to find the slope of d.

The slope formula is to determine a line's slope or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Slope m = rise/run =[tex]=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here, [tex](x_{1} ,y_{1} )=(5,1) and (x_{2} ,y_{2} )=(9,8)[/tex]

We get slope by substitute this points in m value.

m=(8-1)/(9-5)

m=7/4

Therefore, the slope m=7/4.

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What is the approximate value of the 16th percentile of corn yield for counties in iowa?

Answers

16th percentile of corn yield for counties in iowa is 153.4.

What is percentile?

In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.

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The number of people in a movie theater. Identify the set of numbers that best describes the situation. Explain your choice.

Answers

the movie theater that everyone else was in there and i is that we had to get a little bit to do that we had the one time that you were talking to me i is the

If 9 (x-9) = -11, then x =?
O-92/9
O-20/9
O-11/9
O-2/9
O70/9

Answers

Answer:

◉ 70/9

Step-by-step explanation:

9(x - 9) = -11

9x - 81 = -11

9x = 70

x = 70/9

1/3 of x is 14 plsss helppp

Answers

Answer:

42

Step-by-step explanation:

1/3 * x = 14

x/3=14

3*x/3=14*3

x=42

Which mathematical term cannot be precisely defined? line segment point circle ray

Answers

ray, has no end point


The temperature at 5 p.m. is 20 degrees. the temperature at 10 p.m. is -5 degrees

Answers

In 5 hours the temperature decreased by 25 degrees

PLEASE DONT STEAL MY POINTS AND BEST ANSWER GETS BRAINLEST.


A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.


Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)


Part B: Find the falcon's rate in meters per hour. (3 points)


Part C: Find the falcon's rate in kilometers per hour. (3 points)


Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)

Answers

The answers are :

Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.

Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.

rate = distance/time.

Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.

Rate = 800,000 ÷ 4

Rate = 200,000 meters per hour.

Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.

Rate = 200,000 ÷ 1000

Rate = 200 kilometres per hour

Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.

Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate

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Solve the equation. 2(5 – 7) = 1

Answers

Answer:

False

Step-by-step explanation:

Distribute, do the math, and evaluate the resulting equality/statement to see if it is true

10 - 14 = 1

-4 = 1

That is not true so the answer is false

suppose that there are seven committees with each pair of committees having a common member and each person being on two committees. how many people are there?

Answers

Minimum number of meeting required is 5 meetings required

As mentioned, if there is an edge between two committees, both the committee has atleast one member in common.

So if we consider two committees with atleast one member in common, i.e. we select two different vertices with an edge in between, the common member(s) in the committee can discuss and exchange ideas between the committees and thus they don't require a meeting to be scheduled.

So looking at the graph we can say that we only need to schedule meetings between committee with no edge connecting them.

6C2 - |E| or 15 - 10

= 5 meetings

What is the role of the committees?

Committees keep an eye on ongoing government activities, spot problems that warrant legislative scrutiny, collect and assess data, and suggest courses of action to the Senate.

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in an election for class president,jason received 170 of the 250 votes . what percent of the vote did he receive

Answers

Answer: 68%

Step-by-step explanation:

170/250=

17/25=

0.68=

0.68 * 1=

0.68 * 100%=68%

asgt 2.2 7 of 77 of 7 items on a number line, a is at 5 and b is at 50. point x is the midpoint. point t is 2/3 of the way from x to b. determine the coordinate of point t. distance of xb =

Answers

On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.

A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.

If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.

If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.

let n = AX = XB

AB = AX + XB

45 = n + n

45 = 2n

n = 22.5

AX = XB = 22.5

If point T is 2/3 of the way from X to B, then

T = 2/3XB

T = 2/3(22.5)

T = 15

Hence, the coordinates of T is at 15 and the distance of XB is 22.5.

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A farmer has 120 bushels of apples to sell at his stand. he sells an average of 16 3/5 bushels each day. represent the total change in the number of bushels he has for sale after 7 days

Answers

The total change in the number of bushels he has for sale after 7 days = 116.2

In this question,

A farmer sells an average of 16 3/5 bushels each day.

We write above improper fraction 16 3/5 in proper fraction as 83/5

And the decimal form of given fraction 83/5 is:

83/5 = 16.6

After 7 days, he would sold (16 3/5) × 7 bushels.

We simplify an expression (16 3/5) × 7

(16 3/5) × 7 = 16.6 × 7

                  = 116.2

As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.

Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2

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Describe how to graph the solution of

Answers

The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given the inequality,

y ≤ −x² + 2x

The inequality consists of two functions,

y ≤ -x² and y ≤ 2x

Now if we plot both inequalities

x = 0 ⇒ y = 0

And,

2x ≤ -x²

-x²/x ≥ 2

x ≤ -2

So,

y ≤ 2(-2)

y ≤ -4

If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.

Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.

Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".

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a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.

Answers

The height of the box is 12cm, having volume = 1200cm ³ .

What is the volume of triangular prism?

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The formula yields the volume of a triangular prism.

Volume of triangular prism  = 1/2lwh

Where,

w = width

h = height

l = length.

We may determine the height by filling in the specified measurements.

1200cm ³ = 1/2 × (20 cm) × (10 cm) × h

h = (1200 cm³) / (100 cm²))

h = 12 cm

The box has a 12 centimeter height.

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The sum of two consecutive integers is 187. Find the integers.​

Answers

the answer is 93 and 94
93, and 94

dividing the sum by two, you can find
the two integers together. Subtracting 1
from one of the halves(In this case, 0.5, as
187/2 is 93.5),

HELP ! (Order of Operations with Radicals MC) Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.

Answers

1) The square root of 16 is 4, and 4 times 3
squared so 4 times 9 is 36
5.0
2) The cube root of -27 is -3
So butting both step 1) and 2) together, you get
the equation: 36--3=39
And lastly you divided 39 by 2 squared so 4
= 39/4

Help me asap this due in like a hour

Answers

Answer:

A: 2

B: 5

C: 4

D: 3

E: 1

Step-by-step explanation:

Looks right to me :)

What is the prime factorization 18 and 24

Answers

Answer:

(2 × 3 × 3) and (2 × 2 × 2 × 3).



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)

What is the value of 5x2 + x if x = 4?

404
84
44
24

Answers

Answer:

44

Step-by-step explanation:

(5)(4)(2) + 4 Calculate the product

40 + 4 Add

= 44

Answer: its 44 :D

have a great day young boy

Solve for x can you help please

Answers

Answer:

x = 13

Step-by-step explanation:

23 - 9 = 14

14 / 2 = 7

So both sides should equal to 7.

Set the two expression equal to each other and solve.
x - 6 = 2x - 19

move the 6 to the other side by adding

x = 2x - 19 + 6

x = 2x - 13

then move 2x to the other side by subtracting

x - 2x = -13

-x = -13

divide both sides by -1 to get x

x = -13/-1

x = 13

Check.
plug 13 in for x

x - 6

13 - 6 = 7

2x - 19

2(13) - 19

26 - 19 = 7

so both expressions are equal to each other now and

7 x 2 = 14

14 + 9 = 23

thus x = 13

Really need help on this problem

Answers

Solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

How to Solve an Equation?

Given the equation, s = zr - 6zc^4, to solve the equation for z, follow the steps below:

We have to isolate the variable "z" to one side of the equation if we are to solve the equation for z.

s = zr - 6zc^4

Factor out variable z

s = z(r - 6c^4)

Divide both sides of the equation by (r - 6c^4)

s/(r - 6c^4) = z(r - 6c^4) / (r - 6c^4)

s/(r - 6c^4) = z

[tex]z = \frac{s}{r - 6c^4}[/tex]

Therefore, solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

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a school authority claims that the average percentage marks of students is 68. a researcher has taken a well–designed survey and his sample mean is 64.5 and sample standard deviation is 2. the sample size is 300. which statement is correct?

Answers

The statement B is correct, i.e., The result of the survey is statistically significant.

What is statistical significance?

The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.

Given:

Average percentage of students = 68Sample mean of researcher = 64.5Sample standard deviation = 2Sample size = 300

To find: WHich of the given statements is correct?

Finding:

According to the given data,

We can infer that there is a statistically significant result because our findings from a large sample size and relatively small standard deviation show that 64.5 is much lower than the average 68. Additionally, it differs practically.

Hence, the statement B is correct, i.e., The result of the survey is statistically significant.

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(COMPLETE QUESTION:

A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?

a.)

The difference exists due to chance since the test statistic is small.

b.)

The result of the survey is statistically significant.

c.)

The sample size should be much more.

d.)

The result of the survey is not statistically significant.)

What number must be added to both the numerator and the denominator of the fraction 2/3 to get the fraction 7/8?

Answers

Answer:

Step-by-step explanation:

Answer is 5

2 + 5  = 7

3 + 5     8

Consider the function f(x) = x² + 3x - 7. Find the value of f(x) when x = 3 and select the correct answer below. (5 points)
05
8
11
18

Answers

Answer: 11

(3)^2 + 3(3) - 7
9 + 9 - 7
18 - 7

Pls pls help whoever gets it right gets a crown

Answers

Answer: -104y^2 + 52y

Step-by-step explanation:

-13y(8y-4)=

-13y*8y - 4(-13y)= ==> distribution property

-13*8*y*y - (-52y)=-104y^2 + 52y    

how do you find the domain and range of a continuous graph???

Answers

Answer:

So, when talking about continuous functions, we're dealing with a function/graph that goes on and on to infinity. It never ends. In a case like this, we must define domain and range. Domain is all input values, while range goes the same but it's the output values. With this information, the domain and range on a continues graph would most likely be all real numbers due to the fact of the graph never ending, and that means the graph would have every input value thus making its domain/range infinite as well.

➲ Hope this helps.

a function is a relation in which each possible input value leads to exactly one output value. the input values make up the range and the output values make up the domain

Answers

A relation between sets is referred to as a function when there is exactly one output for each input.

Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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