find $m\angle1$ .two triangles a b c and q r s are drawn. angles b and q are labeled with a single arc. angles a and s are marked with a double arc. angles a and b are labeled 45 degrees and 80 degrees respectively. angle r is labeled 1.

Answers

Answer 1

The measure of angle 1, m∠1, found using the congruency of the angles and the angle sum property of a triangle is 55°

What is the angle sum property of a triangle?

The angle sum property of a triangle specifies that the sum of the interior angles of a triangle is 180°

Please find attached the presentation of the details of the question as a drawing of the triangles created with MS Word

The parameters of the question are;

The number of arcs on angles b and q = Single arcs

Therefore, based on the arc markings indicating congruency of the angles, we get;

Angle b is congruent to angle q ∠b ≅ ∠q

Therefore, ∠b = ∠q, by the definition of congruency

The number of arcs on angle a and angle s = Double arcs

Therefore, angle a is congruent to angle s based on the arc markings, which indicates;

∠a ≅ ∠s
∠a = ∠s by the definition of congruency

The label on angle ∠a = 45°

The label on angle ∠b = 80°

∠a = ∠s, therefore, ∠s = 45°, by substitution property

∠b = ∠q, therefore, ∠q = 80° by substitution

∠s + ∠q + ∠1 = 180° Angle sum property of a triangle

45° + 80° + m∠1 = 180°

m∠1 = 180° - (45° + 80°) = 55°

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$Find $m\angle1$ .two Triangles A B C And Q R S Are Drawn. Angles B And Q Are Labeled With A Single Arc.$

Related Questions

a quadrilateral with two sets of parallel sides

Answers

Answer:

square or rectangle

Step-by-step explanation:

The temperature increased 3 degrees per hour for 10 hours. How many degrees did it
rise after 10 hours?

Answers

Answer:

Unless there is more information to this question, 3 degrees per hour, for 10 hours, after the 10th hour it will have risen 3*10 degrees, so 30 degrees

Answer:

Step-by-step explanation:

You can do 3×10 directly, or you can solve it like this to avoid error

Hour Degree

1 +3

2 +6

3 +9

4 +12

5 +15

6 +18

7 +21

8 +24

9 +27

10 +30

Brainliest please

A sphere has a diameter of 8cm. Which statements about the sphere are true? Check all that apply.
• the sphere has a radius of 4cm.
• the sphere has a radius of 16 cm.
• The diameter’s length is twice the length of the radius.
• The radius’s length is twice the length of the diameter.
• The volume of the sphere 2048/3 pi. cm. cubed
• the volume of the sphere is 256/3 pi. cm. cubed

Answers

Answer:

The sphere has a radius of 4 cm.The diameter’s length is twice the length of the radius.The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided

Answers

Answer:

b. -3

Step-by-step explanation:

30 - 3 = 27

27 - 3 = 24

24 - 3 = 21....

Here is my question :

Answers

The top one is 2/4 2 4/8

I need help with finding the vertex,range and domain interval

Answers

THis is the graph of a positive parabola, that opens upward.

The equation is:

$y=x^2+2x-3$

The general form of a quadratic is >>>

$ax^2+bx+c$

So,

a = 1

b = 2

c = -3

(a)

The vertex is the lowest point of the parabola. The x-coordinate is:

$\begin{gathered} x=-\frac{b}{2a} \\ x=-\frac{2}{2(1)} \\ x=-1 \end{gathered}$

And y is:

$\begin{gathered} y=x^2+2x-3 \\ y=(-1)^2+2(-1)-3 \\ y=1-2-3 \\ y=-4 \end{gathered}$

The vertex is at (-1, -4).

(b)

The range is the set of y-values for which a function is defined. From the graph, we can see that the parabola is defined from y = -4 to y = 0. In interval notation >>>

$\text{Range}=\lbrack-4,0\rbrack$(c)

The domain is the set of x-values for which a function is defined.

The two x-axis points are the x-intercepts. They are found below:

$\begin{gathered} y=x^2+2x-3 \\ y=(x+3)(x-1) \\ 0=(x+3)(x-1) \\ x=-3,1 \end{gathered}$

From the graph, we can see that the parabola is defined from x = -3 (not included point) until x = 1. So, the domain is >>>

$\text{Domain}=(-3,1\rbrack$

you want to estimate the mean weight loss of people one year after using a popular weight loss program being advertised of TV. How many people on that program must be surveyed if we want to be 95% confident that the sample mean weight loss is within 0.25lb of the true population mean? auusme the population standard deviation is known to be 10.6lb

Answers

Answer:

6907 people on that program must be surveyed if we want mean weight loss as 0.25 lb and standard deviation as 10.6 lb.

Step-by-step explanation:

Given that mean of weight loss in 0.25 lb and standard deviation is 10.6 lb.

For 95% confident level z-score must be 1.96.

That is =1.96

Now required sample size is

Where SE means standard deviation=10.6 lb and mean m=0.25 lb

Hence sample size=

Which we always should round up that is 6907.

you want to estimate the mean weight loss of people one year after using a popular weight loss program

about how many 18s are there in 250?a.10 b.12 c.15

Answers

Answer:

C. 15

Step-by-step explanation:

It's 13.888 about 14, so 15 is the closest answer.

Step-by-step explanation:

taking 250÷18=13.88~

3+3=?

help I don't know

Answers

Answer:

its 7

Step-by-step explanation:

Answer:

if i remember correctly i think its carrot

Step-by-step explanation:

11 players are going to practice in the batting cage. how many different orders are possible

Answers

Answer:

Step-by-step explanation:

. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.

pls someone help me

Answers

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

What is ascending order?

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

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You work 6 days with 26.00 a day. How much money do you make in those 6 days

Answers

Answer: 156

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

$26 x 6 = 146

Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.

Answers

the correct option is D:

" The inverse relation must pass the vertical line test."

Which is one condition that must be present for an inverse relation to be a function?

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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You know you need to score at least 82 points on the final exam to pass your
class. After the final, you find out that the average score on the exam was 78
with a standard deviation of 7. How likely is it that you pass the class?

Answers

You know you need to score at least 82 points on the final exam to pass your class. 28.39% is the probability to pass the class.

This is further explained below.

How likely is it that you pass the class?

Generally,

$P(x \geq 82) &=1-P(x < 82) \\$

Therefore

$=1-P\left[\frac{x-\mu}{5 d} < \frac{82-\mu}{5 d}\right] \\\\=1-P\left[z < \frac{82.78}{7}\right] \\\\=1-P[z < 0.5714] \\$

P(x \geq 82) =1-0.7161

P(x \geq 82) =0.2839

28.39% is the probability to pass the class.

In conclusion, You are aware that in order to complete this class, you must get a score of 82 points or above on the final exam. The likelihood of passing the course comes in at 28.39%.

Answers

Answer:

1,750 building blocks.

Step-by-step explanation:

In order to find the solution to this question, you must use multiplication.

If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.

You should get 1,750 as your final answer.

The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)

Answers

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Does the equation represent a linear or nonlinear function? y = x² +8

Answers

Answer:

nonlinear

Step-by-step explanation:

It is nonlinear (NOT a straight line). It is a open-up parabola with a vertex at (0, 8)

The sum of seven different natural numbers equals 32. How many such sets of numbers are there?

Answers

The combination of seven digits or numbers that have a sum of 42 includes;

1, 2, 3, 4, 5, 6, 11

1, 2, 3, 4, 5, 7, 10

1, 2, 3, 4, 6, 7, 9

1, 2, 3, 4, 5, 6, 11

1, 2, 3, 4, 5, 8, 9

The number of sets of numbers that have a sum of 32are; 5 sets

What is a combination of an item?

A combination is the possible ways in which a number of items can be arranged, and in which the order in which the items are arranged is not taken into account.

The set of natural numbers are the numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Testing sets of seven randomly selected numbers indicates;

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

The above numbers can be made to be equivalent to 32 by the addition of 4 as follows;

Increasing the values of the sum of the numbers by 4, we get;

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 4 + 5 + 6 + 11 = 32

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 4 + 5 + 10 + 7 = 32

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 4 + 9 + 6 + 7 = 32

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 8 + 5 + 6 + 7 = 32

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 4 + 5 + 8 + 9 = 32

1 + 2 + 3 + 4 + 5 + 6 + 7 + 4 = 1 + 2 + 3 + 5 + 8 + 6 + 7 = 32

Possible sets of seven numbers that sum up to 34 are as follows;

1, 2, 3, 4, 5, 6, 111, 2, 3, 4, 5, 10, 71, 2, 3, 4, 9, 6, 71, 2, 3, 5, 6, 7, 81, 2, 3, 4, 5, 8, 9There are therefore, 5 sets of numbers that have a sum of 32

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De los 12 jugadores del equipo 2/8 son delanteros

Answers

There are a total of 3 forwards on the team.

How many forwards are there on the team?

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

Answers

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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a garden has sides that are 7 ft by 12 ft. how much fencing would it take to go around the garden

Answers

Check the picture below.

a garden has sides that are 7 ft by 12 ft. how much fencing would it take to go around the garden

d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (3, 2) and point (5, 4) rounded to nearest 10th

Answers

The distance between the is 3m

Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?

Answers

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

What is the slope of the line y = -3x + 2? A. 2 2 B. -3 O C. -2 D. 3

Answers

Answer:

The slope of y=-3x+2 is B. -3

a scientist used 2 gallons of liquid for every 7 hours he works. he used__of a gallon each hour he works

Answers

Answer: 2/7 of a gallon (in decimal it’s 0.286)

Step-by-step explanation: This one’s really easy.

2/7 of 1 gallon. Checking: so that if you multiply it by 7 it equals to 2

The gallon he used each hour he works is 2/7.

What is unit rate?

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity.

The common examples used are:

Distance per second

Kilometer per hour

Meter per second

Earning per month

Given,

he used 2 gallons liquid for every 7 hours he works.

gallons used for per hour = 2/7

Hence, He used 2/7 gallons per hour.

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A statistics student wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected students.

A 2-column table with 15 rows. Column 1 is labeled Number of Absences with entries 15, 1, 0, 6, 9, 12, 3, 3, 1, 2, 7, 0, 4, 9, 10. Column 2 is labeled G P A with entries 2.1, 4.3, 4.5, 3.2, 4.0, 1.7, 3.8, 2.9, 3.6, 3.4, 2.6, 3.1, 2.8, 2.8, 4.1.

Using technology, what is the correlation?

–0.56
–0.10
0.10
0.56

Answers

The fraction by which the variance of the dependent variable is greater than the variance of the errors is known as R-squared. The value of R is -0.56. The correct option is A.

What is R- Squared?

The fraction by which the variance of the dependent variable is greater than the variance of the errors is known as R-squared.

It is called so because it is the square of the correlation between the dependent and independent variables, which is commonly denoted by “r” in a simple regression model.

fraction of the variability in data values = (coefficient of correlation)² = r²

For the given data, the correlation can be found as shown below. Therefore, the value of r is -0.56. Since we need the value of r², the value of r² is,

r² = (-0.56)²

r² = 0.3136 ≈ 0.32

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Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?

Answers

Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

= 12 years.

Hence, Dan is 12 years old.

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6TH GRADE MATHstudents at the wild outdoors camp choose one or two morning activities each day. this morning , the ratio of campers who will be horseback riding to campers who will be canoeing is 5 to 3. what percentage of campers is horseback riding?

Answers

Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

The drama class sold blank adult tickets.

Answers

Answer:

60 adult tickets were bought.

Step-by-step explanation:

9514 1404 393

Answer:

80 tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...

8a +4(a -30) = 840

12a -120 = 840 . . . . . . eliminate parentheses

a -10 = 70 . . . . . . . . . divide by 12

a = 80 . . . . . . . . . . . add 10

The drama class sold 80 adult tickets.

Check

The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...

50($4) +80($8) = $200 +640 = $840 . . . . as required

A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase

Answers

The percent increase of the profit is 15%

How to determine the percent increase of the profit?

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%