Find the value of x for which l || m

Find The Value Of X For Which L || M

Answers

Answer 1
3x - 18 + 105 = 180
3x + 87 = 180
3x = 180 - 87
3x = 93
x = 93/3
x = 31 <==

Answer 2

The value of x for which l is parallel to m would be; 31.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

First angle 105 is the vertical opposite angle with the other angle.

The angles are corresponding angles which are equal when the lines are parallel.

Therefore,

3x - 18 + 105 = 180

3x + 87 = 180

3x = 180 - 87

3x = 93

x = 93/3

x = 31

Hence, the value of x for which l is parallel to m would be; 31.

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Related Questions

The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14 for pie . Round to the nearest tenth of a cubic inch

Answers

volume = 4/3 x PI x r^3

r = 10/2 =5

V = 4/3 x 3.14 x 5^3 = 523.333

523.3 cubic inches

find multiplicative inverse of 2+3i / 3-2i

Answers

We have to eliminate i from the denominator:
( 2 + 3 i ) / ( 3 - 2 i )   *   ( 3 + 2 i ) / ( 3 + 2 i ) = 
= ( 2 + 3 i ) * ( 3 + 2 i ) / ( 9 - 4 i² ) =        →  we use difference of squares
= ( 6 + 4 i + 9 i + 6 i² ) / ( 9 + 4 ) =           → because : i² = - 1
= ( 6 + 13 i - 6 ) / 13 = 
= 13 i / 13 = i
Answer:   i.

If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP

Answers

The other zeros of the polynomial if 3 is a zero is -4 and 1/2

If  x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, then x - 3 is a factor.

To get the other factor we will take the division of the polynomial and the factor to have:

2x^3 + x^2 − 25x + 12/x - 3 = 2x² + 7x - 4

Factorize 2x² + 7x - 4

2x² + 7x - 4 = 0

2x² + 8x - x- 4 = 0

2x(x+4)-1(x+4) = 0

(x+4)(2x-1) = 0

x = -4 and 1/2

Hence the other zeros of the polynomial if 3 is a zero is -4 and 1/2

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A bag contains 21 red marbles, 22 green marbles, 24 orange marbles, and 10 yellow marbles. You choose a marble randomly from the bag.

What is the approximate probability that you will choose a green or yellow marble?

A. 0.358
B. 0.435
C. 0.416
D. 0.538

Answers

21 +22+24+10 = 77 total marbles

22 +10 =32 green and yellow marbles

32/77 probability of choosing a green or yellow one

32/77 = 0.416

 answer is C. 0.416


The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5 The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year. Answer for Blank 1:

Answers

We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)² − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.

What is the equation of the blue graph?

Answers

Answer should be D. G(x) = (x - 5)^2


G(x) = (x - 5)^2 ....move F(x) = x^2 to the right 5 units

Hope it helps

Which of the following is not a way to represent the solution of the inequality 2(x − 1) less than or equal to 10? (1 point)


A. x less than or equal to 6
B. 6 greater than or equal to x
C. A number line with a closed circle on 6 and shading to the left
D. A number line with a closed circle on 6 and shading to the right

Answers

The answer is D because A and B mean the exact same thing and if A and B are graphed the result is C so the only logical answer left is D

A and B are the same and C is proven wrong due to the equality sign lkeaving only D to be correct

PLEASE HELP!! 25 POINTS

A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm.

What is the perimeter of the rectangle?

Answers



L*W = 102
L = 17

17W = 102
W = 6

P = 2L + 2W = 2*17 + 2*6 = 46

A captain of a fishing boat pays each member of his crew $20, plus $3 per fish caught. How much would a crew member earn for catching 40 fish?

Answers

Answer: C) $140

20 times 3 plus 20

A crew member would earn $140 for catching 40 fish, calculated by adding the base pay of $20 to the additional pay of $3 per fish caught for the total number of fish.

To calculate how much a crew member would earn for catching 40 fish, given that the captain of the fishing boat pays each crew member a base amount of $20 plus an additional $3 per fish caught. To find the total earnings, we use the formula:

Total earnings = Base pay + (Pay per fish × Number of fish caught)

Plugging the given numbers into the formula, we get:

Total earnings = $20 + ($3 × 40)

Total earnings = $20 + $120

Total earnings = $140

Therefore, a crew member would earn $140 for catching 40 fish.

the polynomial (x - 2) is a factor of the polynomial 3x2 - 8x + 2.

Answers

First, let's factor  3x²-8x+2

Looking at wee can see that the first term is  and the last term is  where the coefficients are 3 and 2 respectively. 

Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6: 



Factors of 6: 
1,2,3,6 

-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations 

These factors pair up and multiply to 6 


1*6 
2*3 
(-1)*(-6) 
(-2)*(-3) 

note: remember two negative numbers multiplied together make a positive number 


Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8 

First Number Second Number   Sum 1                            6                      1+6=7 2                           3                      2+3=5 -1                         -6                       -1+(-6)=-7 -2                        -3                       -2+(-3)=-5


None of these pairs of factors add to -8.

So the expression 3x²-8x+2 cannot be factored.

So (x - 2) is NOT a factor of  3x²-8x+2
So the statement is false

 

Answer:

B.false

Step-by-step explanation:

apexs

Okay before i even ask, everyone should i suck at math. so: Michelle went to Spain for 22 days in June. What fraction of the month June did Michelle spend in Spain?

Answers

Number of days in June = 30

Number of days Michelle spent in Spain in June = 22

Hence, fraction of the month Michelle spent in Spain = [tex] \frac{22}{30} = \frac{11}{15} [/tex]

How to algebraically find the limit of a function as x approaches infinity?

Answers

Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.

Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".

Hope this helps.

To algebraically find limit of a function as "x" approaches infinity, identify highest degree term, divide by "x", and evaluate the resulting expression.

To algebraically find the limit of a function as x approaches infinity, we can follow the below steps :

(i) Identify the highest degree term: Determine the term with the highest power of x in the function.

(ii) Ignore lower degree terms: If the highest degree term is dominant, ignore lower degree terms and constants.

(iii) Divide by x: Divide every term in the function by x raised to the power of the highest degree.

(iv) Evaluate the limit: Examine the resulting expression as x approaches infinity. If the expression tends to a finite value, that is the limit. If the expression diverges (goes to infinity or negative infinity), then the limit does not exist.

By simplifying the function and observing the behavior of the resulting expression, we can algebraically determine the limit of the function as x approaches infinity.

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Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls a sum that is an odd number greater than 10. What are Hillary's chances of getting a second turn when she rolls the number cubes?

Answers

There is only one odd sum greater than 10 for a pair of dice, 11, and there are only two ways to roll that, a 5 and 6 or a 6 and 5.

P(11)=(2/6)(1/6)

P(11)=2/36

P(11)=1/18
The sample space = {36} total outcomes:
 Te odd sum  greater than 10 is:
either 5 + 6 = 11  or 6 + 5 =11

to get 5 & 6, P= 1/36
OR to get 6 & 5, P = 1/36
In "either or" you will add the probabilities"

P(to get a chance of getting a second turn)=1/36+1/36 = 2/36 = 1/18=0.0555

Which of the following are arithmetic sequences? Check all that apply.

A. 1, 1, 2, 5, 8, 13

B. 5, 5, 5, 5, 5

C. 3, 6, 9, 12, 15

D. 2, 4, 8, 16, 32

Answers

The correct answer is C. 3, 6, 9, 12, 15 because an arithmetic sequence must have a constant change in the consecutive terms.

Answer:

The correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15  are arithmetic sequences

Step-by-step explanation:

Arithmetic sequence is: a, a+r, a+2r, a+3r, a+4r, ....... where r is common difference

Check part A) 1, 1, 2, 5, 8, 13

In which [tex]a_1=1,\, a_2=1,\,a_3=2,\,a_4=5[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =1-1=0 [/tex]

[tex]d=a_3 -a_2 =2-1=1 [/tex]

since common difference is not same

so, sequence 1, 1, 2, 5, 8, 13 is not arithmetic sequences.

Check part B) 5, 5, 5, 5, 5

In which [tex]a_1=5,\, a_2=5,\,a_3=5,\,a_4=5[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =5-5=0 [/tex]

[tex]d=a_3 -a_2 =5-5=0 [/tex]

since common difference is same

so, sequence 5, 5, 5, 5, 5  is arithmetic sequences.

Check part C) 3, 6, 9, 12, 15

In which [tex]a_1=3,\, a_2=6,\,a_3=9,\,a_4=12[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =6-3=3 [/tex]

[tex]d=a_3 -a_2 =9-6=3 [/tex]

since common difference is same

so, sequence 3, 6, 9, 12, 15  is arithmetic sequences.

Check part D) 2, 4, 8, 16, 32

In which [tex]a_1=2,\, a_2=4,\,a_3=8,\,a_4=16[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =4-2=2 [/tex]

[tex]d=a_3 -a_2 =8-4=4 [/tex]

since common difference is not same

so, sequence 2, 4, 8, 16, 32 is not arithmetic sequences.

Therefore, the correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15  are arithmetic sequences

which of the following are not necessary when proving that the diagonals of a rectangle are congruent? check all that apply

Answers

opposite sides are perpendicular

all obtuse angles are congruent

Answer:

The correct options are B and D.

Step-by-step explanation:

A quadrilateral is called rectangle if the opposite sides are congruent and parallel to each other. All interior angles are right angle and congruent.

To prove that the diagonals of a rectangle are congruent the necessary conditions are

1. Opposite sides of a rectangle are congruent.

2. All right angles are congruent.

Therefore options A and C are necessary conditions. Option A and C are incorrect.

The opposite sides of a rectangle are parallel to each other and two parallel lines never intersect each other.

Therefore the opposite sides are not perpendicular to each other. Option D is correct.

The angle whose measure is more than 90 degree is called an obtuse angle.

Since all interior angles of a rectangle are right angle and congruent, therefore there is no obtuse angle. So, condition B is unnecessary. Option B is correct.

If the letters a, b, c, d, e, and f are to be used in a five-letter code, how many different codes are possible if repetitions are not permitted?

Answers

It's (6•5•4•3•2) which is 720 of them.

Openstudy using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)?

Answers

hello here is a solution : 

Find the volume of each figure to the nearest tenth. Show your work.

Answers

a. Sphere.  V = (4/3)πr³    [π≈3.14;  r=6]

V = (4/3) * 3.14 * 6³ ≈ 904.3  m³


b. Сone.   V = (1/3)πr²h   [π≈3.14;  r=5]

By the Pythagorean theorem:
h = √(13²-5²) = √144 = 12 m

V = (1/3) * 3.14 * 5² * 12 ≈ 314  m³


c. Rectangular parallelepiped.   V = lwh  [l=11, w=5,  h=6]

V = 11 * 5 * 6 = 330 cm³

There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)

Answers

To solve this problem, let us first assign variables. Let us say that:

X = number of marigold plants

Y = number of sunflower plants

n = number of months

We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.

 

Part A.

For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

 

For the sunflower plants Y, an arithmetic sequence has a general form of:

Y = Yo + d * n

where d = -8 and Yo = 125

Y = 125 – 8 n

 

Part B. For n = 3

 

X = 150 (0.85)^3 = 92.12 = 92

 

Y = 125 – 8 (3) = 101

 

Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2

 

X = 150 (0.85)^2 = 108.38 = 108

 

Y = 125 – 8 (2) = 109

 

Therefore the two plants have approximately similar amount after 2 months.

What is the measure of ABC?

Answers

Angle ABC is 65 degrees 
You have to divide 130 by 2 because it is the interior angle of arc AC
130/2=65
hope this helps:)

Answer: Measure of <ABC=65°.

Step-by-step explanation:

The intercepted arc Theorem says :Angle made on circumference if half the measure of the intercepted arc.

In the given circle measure of arc is 130° The angle intercepted by arc AC is <ABC.

m<ABCwill be equal to Half of measure of arc AC

M<ABC=[tex]\frac{1}{2} of 130=65[/tex]

the area of a rectangle with width x and length 7x is 7x^2 what does the coefficient 7 mean in terms of the problem

Answers

Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:

Width = x 
Length = 7x
Area = x(7x) = 7x^2

The coefficient 7 would mean that the length is 7 times longer than the width, x.

Find the value of X and Y. Show your work.

Answers

7x - 4 = 31
7x = 31 + 4
7x = 35 
x = 35/7
x = 5

4y + 8 = 24
4y = 24 - 8
4y = 16
y = 16/4
y = 4

The number of points awarded in each round of a game can be represented by f(x) = 2x, where x represents the number of the round.

What is x when f(x) = 16?

Answers

If f(x)=2x and f(x)=16

2x=16  divide both sides by 2

x=8

Answer:

x=4; in round 4, 16 points will be rewarded

Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

1. (x + 2)2 + (y - 1)2 = 26
2. (x + 2)2 + (y - 1)2 = 13
3. (x - 2)2 + (y + 1)2 = 26
4. (x - 2)2 + (y + 1)2 = 13

Answers

The equation for a circle is (x-h)^2 + (y-k)^2 = r^2. Because we have a center and a coordinate, all we have to solve for is the radius.  Fill in the equation like this: (3-2)^2 + (4+1)^2 = r^2.  That gives us 1^2 + 5^2 = r^2 and 26=r^2.  Now we use that squared radius along with the center to complete the equation for the circle: (x-2)^2 + (y+1)^2 = 26 which is #3 above.

A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?

Answers

The area of the square is calculated through the equation,

                               Area = e²

where e is the measure of sides.
 
From the given,

                              64 = e²
                               e = sqrt 64 = 8 inches

The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.

                             radius = 8 inches / 2 = 4 inches

Thus, the radius of the cylinder is equal to 4 inches

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tracking them. Since then, there has been one fifth as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible.

1 1000
2 200
3 40

Answers

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by [tex] \frac{1}{5} [/tex]
From term 2 to term 3, there's a decrease also by [tex] \frac{1}{5} [/tex]

The rule to find the [tex]n^{th} [/tex] term in a sequence is 
[tex]n^{th}=a r^{n-1} [/tex], where [tex]a[/tex] is the first term in the sequence and [tex]r[/tex] is the ratio

So, the formula for the sequence in question is
[tex]n_{th} [/tex] term = [tex]1000( \frac{1}{5} ^{n-1} )[/tex]

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
[tex]S_{∞} = \frac{a}{1-r} [/tex] for -1<r<1 
Substituting [tex]a=1000[/tex] and [tex]r= \frac{1}{5} [/tex] we have 
[tex] S_{∞} [/tex] = [tex] \frac{1000}{1- \frac{1}{5} } [/tex] = 1250

Hence, the correct option is option number 1

Answer:

A

Step-by-step explanation:

930 miles to travel with a car that gets 22 miles per gallon. How much will it cost to travel if gas costs 2.03 a gallon?

Answers

The answer is:  $ 85.81  .
_______________________________________________
Explanation:
_______________________________________________
(1 gal / 22 mi) * (930 mi) = 

(1 gal / 22 mi) * (930 mi / 1) = {the units of "mi" ("miles" cancel out} ;

=  (1 gal/ 22) * (930 / 1)  =  (1 gal * 930) ÷ (22 * 1)  ;
                                    
                                       =  (930 gal) ÷ 22 ;
 
                                       =  (465 / 11) gal  =
            
                                       =  42  3/11 gal = 42.2727272727.... gal .
________________________________________________________
      (456 /11)  gal  * ($ 2.03 / gal) =

         $85.813636363636363581 ------->  round to:  $85.81 .
__________________________________________________________

f-7 over g equals h, sole for f

Answers

(f-7)/g=h, so we can multiply both sides to get hg=f-7. After that, add 7 to both sides to get hg+7=f

A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be created? A. 151,200 B. 340 C. 210 D. 3,480

Answers

[tex]10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5=151,200[/tex]

Answer: Option A, 151,200 possible combinations.

Explanation:

The code must contain 6 numbers, and there are a total of 10 numbers avaible. Here we must assume that the numbers must be different, because of the word "avaible" and the options avaible.

This means that for the first number, we have 10 options, for the second number, we have 9 options (because we already took 1), in the third number, we have 8 options, and so on.

The total number of combinations is equal to the product between the number of options for each number in the code.

10*9*8*7*6*5 = 151,200

Then the right option is A.

If the probability of an event is 0.7 repeating​, what are the odds against the​ event

Answers

So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.
Other Questions
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