ABC = PQR given ABC = PQR, m<B = 3v + 4, and m<Q = 8v vind m<B ans m<Qm

ABC = PQR Given ABC = PQR, M&lt;B = 3v + 4, And M&lt;Q = 8v Vind M&lt;B Ans M&lt;Qm

Answers

Answer 1

Answer:

v = 4/5 or 0.8

Step-by-step explanation:

Givens

These two corresponding parts are equal

<B = 3v + 4<Q = 8v

Equation

3v + 4 = 8v                    Subtract 3v from both sides3v - 3v + 4 = 8v - 3v     Combine4 = 5v                           Divide by 54/5 = 5v/5                    Divide

Answer

v = 4/5 or v = 0.8


Related Questions

the graph of a proportional relationship contains the point 8 and 4 what is the corresponding equation enter your answer as a fraction in simplest form in the box

Answers

Answer:

[tex]y=\frac{1}{2}x[/tex].

Step-by-step explanation:

We have been given that the graph of a proportional relationship contains the point 8 and 4.

Since we know that a proportional equation is in form: [tex]y=kx[/tex], where k is constant of proportionality.

Let us substitute x=8 and y=4 in proportional equation to find constant of proportionality for our equation.

[tex]4=k*8[/tex]

Upon dividing both sides of equation by 8 we will get,

[tex]\frac{4}{8}=\frac{k*8}{8}[/tex]

[tex]\frac{4}{8}=k[/tex]

[tex]\frac{1}{2}=k[/tex]

Let us substitute k=1/2 in proportional equation.

[tex]y=\frac{1}{2}x[/tex]

Therefore, our desired equation will be [tex]y=\frac{1}{2}x[/tex].

In a certain Algebra 2 class of 29 students, 5 of them play basketball and 16 of them play baseball. There are 10 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

ANSWER
[tex]P(both\:sports)= \frac{2}{29} [/tex]

EXPLANATION
Let the number who plays both games be
[tex]x[/tex]
Then those who play only basketball
[tex] = 5 - x[/tex]

and those who play only baseball
[tex] = 16 - x[/tex]

We were given that 10 students play neither sports.

We can then write the following equation,

[tex](5 - x) + x + (16 - x) + 10 = 29[/tex]

This implies that,

[tex] - x + x - x = 29 - 5 - 16 - 10[/tex]

This simplifies to,

[tex] - x = - 2[/tex]

This gives us,

[tex]x = 2[/tex]

Therefore the number of students play both basketball and baseball is 2.

The probability that a student chosen from the class plays both basketball and baseball ball

[tex] = \frac{2}{29} [/tex]

A study was done to investigate the population of a certain species of animal over time. The correlating linear model is shown below, where x represents the number of years after 1955, and y represents the number of that certain species. Interpret the y-intercept.

y = 5,000 + 500x

A. There were 1,000 of that species in 1955.
B. There were 10,000 of that species in 1955.
C. There were 500 of that species in 1955.
D. There were 5,000 of that species in 1955.

Answers

Answer: D


Step-by-step explanation:

5,000 + 500x = 5,500x



Answer:

D. There were 5,000 of that species in 1955.

Step-by-step explanation:

The initial population of the species is equal to the y-intercept of the first-order polynomial. Hence, the right answer is D.

Use inverse operations to solve the equation. -5x=65

Answers

Divide both sides by -5 to get x= -13

Answer: x=-13


Step-by-step explanation:

X= 65/5

X=-13

Checked work .

-5x=65

-5x-13=65

65=65



the graph of y=x2+11x+24

Answers

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of this equation: A. y= (x + 8)(x + 3)

In Geometry, a factored form is a type of quadratic equation that is typically written as the product of two (2) linear factors and a constant;

f(x) = a(x - r)(x - r)

a is the leading coefficient.

r is the roots or x-intercets.

Based on the information provided, we can logically deduce the following quadratic function;

[tex]y=x^2+11x+24[/tex]

By factorizing the quadratic function above completely, we have the following;

[tex]y=x^2+11x+24\\\\y=x^2+8x+3x+24\\\\y=x(x+8)+3(x+8)\\\\y=(x+8)(x+3)[/tex]

Complete Question:

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of which equation?

y= (x + 8)(x + 3)

y = (x + 4)(x + 6)

y= (x + 9)(x+2)

y = (x + 7)(x + 4)

Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours

Answers

2/5 : 1/2 = x : 2
1/2x=4/5
x=8/5

Question

Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours


Answer:

8/5

Step-by-step explanation:


2/5 in 1/2 hour = 4/5 in 1 hour

4/5 * 2 = 8/5 (your answer)

or

2/5 * 2 * 2 =

8/5


Which measurement is the most precise? A) 29 cm B) 28.8 cm C) 28.76 cm D) 28.762 cm

Answers

Answer:

A


Step-by-step explanation:


a milkyway bar is 5 inches long. The bar will be split into two pieces. For each situation find the length in inches of the two pieces and write your answer as the ratio of the larger piece to the smaller piece. Show your work


A) one piece is 1 inch longer than the other?


B) one piece is 60% of the bar

HELPPPPPPPP ASAP

Answers

Answer:

A)one is 3 inches and the other is 2 inches.2:5 and 3:5

B)It would be still b three and two because 3/5 of the chocolate bar is 60% and 2/5 is 40%.

Step-by-step explanation:

A) If the bar is 5 inches long and it is broken into two pieces with one that measures an inch longer then you would find that if broken in half it   would be 2.5, so if you take the other point 0.5 off of the other 2.5 and add it to the other half then it would have on piece that is an inch longer than the other piece.3+2=5

B)  5(0.6) =3



For Scenario A, the Milky Way bar is divided into two pieces where one piece is 1 inch longer than the other, resulting in lengths of 3 inches and 2 inches, with a ratio of 3:2. In Scenario B, one piece is 60% of the entire bar, equating to 3 inches and 2 inches for the two pieces, again with a ratio of 3:2.

A Milky Way bar is 5 inches long and is split into two pieces.

Scenario A: One Piece Is 1 Inch Longer Than the Other

Let's denote the length of the shorter piece as x. According to the problem, the longer piece would then be x + 1 inch. Since the two pieces together must add up to the total length of the bar, which is 5 inches, we can set up the following equation:

x + (x + 1) = 5 inches

2x + 1 = 5 inches

2x = 5 inches - 1 inch

2x = 4 inches

x = 2 inches

The shorter piece is 2 inches, meaning the longer piece is 2 inches + 1 inch = 3 inches.

The ratio of the longer piece to the shorter piece is therefore 3:2.

Scenario B: One Piece Is 60% of the Bar

In this case, one piece is 60% of 5 inches. We calculate this piece as follows:

60% of 5 inches = 0.60 * 5 inches

= 3 inches

Since one piece is 3 inches, the other piece must be 5 inches minus 3 inches, which is 2 inches. The ratio of the larger piece to the smaller piece is 3:2, the same as in Scenario A.

factor the expression using GCF 6y+3

Answers

Answer:

3(2y+1)

Step-by-step explanation:

First we need to find the factors of each term

6y = 2*3*y

3 = 3*1

The greatest common factor is 3.  Take that out and what remains goes inside the parentheses

3(2y+1)

the answer to your question is 3(2y+1)

Which value is equivalent to 40%

Answers

0.4 or 2/5 is equivalent

Answer:


Step-by-step explanation:

The answer to your question is 2/5,0.4,4/10,

Blaire needs more than 708 total points on assignments in her math class to pass. She only has 236 points and needs to do some extra credit assignments that are worth 59 points each.

59x + 236 > 708

How many extra credit assignments does Blaire need to complete in order to pass?
A.
x > 236
B.
x > 59
C.
x > 472
D.
x > 8

Answers

Answer: D) x = 8


Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.

Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.

59 x 8 = 472 + 236 = 708.

56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.

Hope this helped!

Plz mark brainliest!

Answer:

x>8

Step-by-step explanation:

I only answered so the other guy could get brainliest.

twelve athletes are running a race. a gold medal is to be given to the winner, a silver is to be given to the second place finisher, and a bronze medal is to be given to the third place finisher. assume that there are no ties. in how many possible ways can 3 medals be distributed?

Answers

Final answer:

There are 1,320 possible ways to distribute the gold, silver, and bronze medals among twelve athletes with no ties.

Explanation:

The student has asked how many possible ways three medals can be distributed among twelve athletes, assuming there are no ties. This can be calculated using permutations since the order of medals (gold, silver, bronze) matters and each medal can only be given once.

For the gold medal, there are 12 potential athletes, for the silver there are 11 remaining athletes (since one has already received gold), and for the bronze, there are 10 athletes left. Therefore, the number of possible ways to distribute the three medals is:

12 (options for gold) × 11 (options for silver) × 10 (options for bronze) = 1,320 possible ways.

write the sentences below as a mathematical expression.
1. the sum of a number and 9
2. 12 decreased by some number
3. some number decreased by 7
4. twice a number
5. 2 times a number
6. a number dived by 8
7. the quotient of a number and 3
8. double the sum of 8 and a number

Answers

1. a+9

2. 12-x

3. x-7

4. 2a

5. 2a

6. a:8

7. a/3

8. 2(8+a)

What are all the subsets of the set?
{-8,4}

A. Ø, {-8}, {4}
B. {-8}, {4}, {-8, 4}
C. {-8}, {4}
D. Ø, {-8}, {4}, {-8, 4}

Answers

Final answer:

The correct answer is D, which includes the empty set, each individual element as a subset, and the set itself containing both elements {-8, 4}.

Explanation:

The question asks for all subsets of the set {-8, 4}. A subset of a set includes any set formed from its elements, including the empty set and the set itself. Therefore, the subsets of the set {-8, 4} are:

The empty set:
ØSet containing -8 only: {-8}Set containing 4 only: {4}Set containing both -8 and 4: {-8, 4}

So the correct answer is D: Ø, {-8}, {4}, {-8, 4}.

explicit formula for 12,19,26,33,40

Answers

Answer:


Step-by-step explanation:

The common difference is 7

Since the common difference is 7

a_n = 12+(n-1)7

a_n = 12+7n -7

a_n = 5+7n

find the value of x. please explain your answer:)

Answers

Answer:

x =16

Step-by-step explanation:

A right angle has 90 degrees.

The two given angles add to 90 degrees

3x + 2 + 40 = 90                      Combine the left side

3x + 42 = 90                            Subtract 42 from both sides

3x + 42 - 42 = 90 - 42             combine

3x = 48                                     Divide by 3

3x/3 = 48/3                              Do the division

x = 16

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York: Maximum Minimum Q1 Q3 IQR Median Mean σ Rome 16 0 3 13 10 8.5 8 5.4 New York 20 1 4.5 6 1.5 5.5 7.25 5.4 Which of the choices below best describes how to measure the center of this data? Both centers are best described with the mean. Both centers are best described with the median. The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.

Answers

Final answer:

The center of a data set can be measured using the mean or the median. In this case, the Rome data center is best described by the mean, while the New York data center is best described by the median.

Explanation:

The center of a data set can be measured using two common ways: the mean and the median. The mean is found by adding up all the values and dividing by the total number of observations. The median is the middle value, or the number that separates the data into two equal halves. It is generally a better measure when there are extreme values or outliers.

In this case, based on the information provided, the Rome data center is best described by the mean, while the New York data center is best described by the median.

someone please help me on my math 2 of them are on my page. thanks:)

Answers

Answer:

I will but there are no problems/questions shown

Step-by-step explanation:


Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm. What is the distance the hula hoop rolls in 44 full rotations? Round your answer to the nearest \text{cm}cm.

Answers

To find the distance the hula hoop rolls in 4 full rotations, we calculate the circumference as 2πr and then multiply by 4. The total distance is then rounded to the nearest centimeter, resulting in 880 cm.

The question asks us to calculate the distance a hula hoop travels in 4 full rotations given its radius. The distance traveled in one rotation is equal to the circumference of the hoop.

To find the circumference, we use the formula C = 2πr, where r is the radius. Since the radius is given as 35 cm, the circumference is 2π×35 cm. To find the total distance for 4 rotations, we multiply the circumference by 4. This gives us 4×2π×35 cm. Using the approximate value of π (3.1416), we can calculate the distance, and then round it to the nearest centimeter.

Circumference C = 2π×35 cm = 219.91 cm

Total distance for 4 rotations = 4×C = 4×219.91 cm = 879.64 cm

Rounded to the nearest centimeter: 880 cm

which of the following is equal to 9 • 4?

Answers

[tex]\sqrt{9*4}= \sqrt{36} =6[/tex]


A.) [tex]\sqrt{9}*\sqrt{4}=3*2=6[/tex]

B.) 18

C.) [tex]\sqrt{\frac{9}{4}}=\frac{3}{2}[/tex]

D.) 36


Your answer is A

Final answer:

The multiplication of 9 • 4 equals 36, which is the result of adding 9 to itself 4 times.

Explanation:

The question 'which of the following is equal to 9 • 4?' is asking us to perform a multiplication operation. In Mathematics, when we multiply two numbers, we are essentially adding one of the numbers to itself the number of times indicated by the other number. Therefore, 9 multiplied by 4, which is written as 9 • 4, is equal to adding 9 to itself 4 times: 9 + 9 + 9 + 9.

Let's do the math:

9 + 9 = 1818 + 9 = 2727 + 9 = 36

So, 9 • 4 equals 36. This is a basic multiplication concept that is foundational in math.

what is the shortest driving distance from the hospital to the gas station?

Answers

Answer:

I'm sorry i couldn't understand your question. If you wanna take it litterally, around the world there is gas station that could be 5 minutes, 15 or 30 minute from a hospital. could you clarify me on your question


What is the y-intercept if the line graphed? *please enter your answer as an ordered pair in the form (x,y)*

Answers

ANSWER:

( 0, 2 )

The y-intercept of the line graphed as an ordered pair in the form ( x, y ) is:
( 0, 2 ).

EXPLANATION:

The y-intercept of a line is the point or co-ordinates where the line intercepts the y-axis. Therefore, the first digit of a y-intercept must always be 0.

i.e. ( 0, ? )

As the line crosses the y-intercept on 2, the ordered pair form of the y-intercept is: ( 0, 2 ).

As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.

Answers

Final answer:

34.5 kilometers is equal to 21.41 miles.

Explanation:

To convert kilometers to miles, you can use the conversion factor 1 mile = 1.609 kilometers. So, to convert 34.5 kilometers to miles, you would multiply 34.5 by the conversion factor:

34.5 kilometers × 1 mile/1.609 kilometers = 21.41 miles

Therefore, 34.5 kilometers is equal to 21.41 miles.

Learn more about Converting kilometers to miles here:

https://brainly.com/question/34149906

#SPJ12

Simplify 7/9 • 3/4 • 2/7

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{7}{9}[/tex] × [tex]\frac{3}{4}[/tex] × [tex]\frac{2}{7}[/tex]

the 7 on the numerator/ denominator cancel to 1

the 3 and 9 cancel ( 3 → 1 and 9 → 3 )

the 2 and 4 cancel ( 2 → 1 and 4 → 2 )

= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{1}[/tex]

multiply the remaining values on the numerators/ denominators

= [tex]\frac{1(1)(1)}{3(2)(1)}[/tex] = [tex]\frac{1}{6}[/tex]


Write the first five terms of the sequence defined by the explicit formula.

Answers

Answer:

(a) 112, 28, 7, (7/4), (7/16)

Step-by-step explanation:

The sequence is given by the explicit formula

[tex]a_{n} = 112 (\frac{1}{4} )^{n-1}[/tex]

The terms of the sequence are :

[tex]a_{1} = 112 (\frac{1}{4} )^{1-1} = 112  (\frac{1}{4} )^{0} =112 [/tex]

[tex]a_{2} = 112 (\frac{1}{4} )^{2-1} = 112(\frac{1}{4} ) =28 [/tex]

[tex]a_{3} = 112 (\frac{1}{4} )^{3-1} = 112(\frac{1}{4} )^{2} = 7 [/tex]

[tex]a_{4} = 112 (\frac{1}{4} )^{4-1}=112(\frac{1}{4} )^{3} = \frac{7}{4}[/tex]

[tex]a_{5} = 112 (\frac{1}{4} )^{5-1}=112 (\frac{1}{4} )^{4} = \frac{7}{16}[/tex]

I need help with part c). Given that tan(pi/8)= sqrt(2)-1. Please provide a detailed answer.

Answers

[tex]b)\\\tan x=\dfrac{\sin x}{c\os x}\\\\\tan^2x=\dfrac{\sin^2x}{\cos^2x}=\dfrac{2\sin^2x}{2\cos^2x}=\dfrac{\sin^2x+\sin^2x}{\cos^2x+\cos^2x}\\\\=\dfrac{\sin^2x+\sin^2x+\cos^2x-\cos^2x}{\cos^2x+\cos^2x+\sin^2x-\sin^2x}=\dfrac{(\sin^2x+\cos^2x)-(\cos^2x-\sin^2x)}{(\cos^2x+\sin^2x)+(\cos^2x-\sin^2x)}\\\\=\dfrac{1-\cos2x}{1+\cos2x}\\\\\text{Used}:\\\\\sin^2x+\cos^2x=1\\\\\cos^2x-\sin^2x=\cos2x[/tex]

[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=\dfrac{1-\cos\left(2\cdot\dfrac{7\pi}{8}\right)}{1+\cos\left(2\cdot\dfrac{7\pi}{8}\right)}=\dfrac{1-\cos\left(\dfrac{7\pi}{4}\right)}{1+\cos\left(\dfrac{7\pi}{4}\right)}=(*)\\\\\cos\left(\dfrac{7\pi}{4}\right)=\cos\left(2\pi-\dfrac{\pi}{4}\right)=\cos\left(-\dfrac{\pi}{4}\right)=\cos\left(\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\\\\(*)=\dfrac{1-\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}=\left(\dfrac{2}{2}-\dfrac{\sqrt2}{2}\right):\left(\dfrac{2}{2}+\dfrac{\sqrt2}{2}\right)[/tex]

[tex]=\dfrac{2-\sqrt2}{2}\div\dfrac{2+\sqrt2}{2}=\dfrac{2-\sqrt2}{2}\cdot\dfrac{2}{2+\sqrt2}=\dfrac{2-\sqrt2}{2+\sqrt2}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{2-\sqrt2}{2+\sqrt2}\cdot\dfrac{2-\sqrt2}{2-\sqrt2}=\dfrac{(2-\sqrt2)^2}{2^2-(\sqrt2)^2}\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=\dfrac{2^2-2(2)(\sqrt2)+(\sqrt2)^2}{4-2}=\dfrac{4-4\sqrt2+2}{2}=2-2\sqrt2+1\\\\=(\sqrt2)^2-2(\sqrt2)(1)+1^2=1^2-2(1)(\sqrt2)+(\sqrt2)^2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=(1-\sqrt2)^2\\\\\text{Therefore}:[/tex]

[tex]\tan^2\left(\dfrac{7\pi}{8}\right)=(1-\sqrt2)^2\to\boxed{\tan\left(\dfrac{7\pi}{8}\right)=1-\sqrt2}[/tex]

[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]

[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]

Can someone please help me with this question?

Answers

Answer:

A Jones has the best plus minus record

Step-by-step explanation:

The player wants the most "negative" score, which means he was one the ice when his team scored the most points and off the ice when his team was scored upon.


Answer:

11. a. See below. b. E. Simpson

Step-by-step explanation:

11. a. Graphing on the number line

You did a great job on this.

I just used red dots to make them more visible.

===============

11. b. Best plus-minus record

The player with the best plus-minus record is E. Simpson.  

His plus-minus record of +9 means that his team has scored more often when he is on the ice than any other player.

Which property yields step 2 in the following problem? Step 1: 12(x+4) Step 2: 12x + 48

Answers

Answer:

Distributive property

Step-by-step explanation:

12(x+4)

We would use the Distributive property to get to

12x+48

Distributive Property

x(a+b) = ax + bx

What does The difference of two numbers by 5 look like

Answers

Answer:


Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

I can't really tell if I'm reading it correctly, but I think the answer is

x - y = 5

Answer:


Step-by-step explanation:

Suppose you have given two numbers say (x and y ).

Now we can have 3 conditions here:

   i . x and y are equal

   ii. x is greater than y

  iii . y is greater than x .

For x and y are equal  : - Difference between two numbers will be zero.

For x and y greater or lesser :- There will be some difference between two numbers x and y. And if this difference between x and y is 5, then it will look like:

x is greater than y

x - y = 5  

or

y is greater than x

y - x = 5

5Y+2-3(4Y)=0
WHAT DOES THIS EQUAL

Answers

Answer: The Y in the problem = 2/7, Good Luck!


Step-by-step explanation:

Simplify both sides of the equation!

Answer:

the answer would be one

Step-by-step explanation:

you simply have to put the question in parts that makes it easy use PEMDAS

it is really helpful on math that looks like this

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