if L is parallel to M, find the value of each variable(s)

If L Is Parallel To M, Find The Value Of Each Variable(s)

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

5.  9x + 2 = 119°                    alternate interior angles are congruent

          9x = 117

           x = 13°

6.  12x - 8 + 104° = 180°       same side interior angles are supplementary

            12x + 96 = 180

                     12x = 84

                        x = 7°

7.  5x + 7 = 8x - 71                alternate exterior angles are congruent

         -3x = -78

            x = 26°

8.  4x - 7 = 7x - 61                corresponding angles are congruent

        -3x = -54

          x = 18°

9.  9x + 25 = 13x - 19          corresponding angles are congruent

            -4x = -44

               x = 11°

    13x - 19 + 17y + 5 = 180°        straight line adds up to 180°

    13(11) - 19 + 17y + 5 = 180

       143 - 19 + 17y + 5 = 180

                    17y + 129 = 180

                              17y = 51

                                  y = 3°

10.  6x - 7 + 3x - 29 = 180°     same side interior angles are supplementary

                   9x - 36 = 180

                           9x = 216

                             x = 24°

     6x - 7 = 8y + 17                   vertical angles are congruent

      6(24) - 7 = 8y + 17

         144 - 7 = 8y + 17

               137 = 8y + 17

               120 = 8y

                  y = 15°

11.  49 + 3x = 7x - 23                corresponding angles are congruent

            -4x = -72

               x = 18°

 

      3x = 11y - 1                         corresponding angles are congruent

      3(18) = 11y - 1      

          54 = 11y - 1

          55 = 11y

            y = 5°

12.  5x - 38 = 3x - 4                alternate interior angles are congruent

             2x = 34

               x = 17°

 

      7y - 20 + 5x - 38 + 90 = 180°        sum of triangle interior angle equals 180

      7y - 20 + 5(17) - 38 + 90 = 180°      

      7y - 20 + 85 - 38 + 90 = 180°    

                              7y + 117 = 180

                                      7y = 63

                                       y = 9°


Related Questions

A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the lender. Simply your answer.

Answers

Answer:

The minimum monthly income required by the lender is $5214.30

Step-by-step explanation:

Here, we want to calculate the minimum monthly income required by the lender

From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income

So in this case, let the monthly income be x

So therefore;

28% of x = 1460

Thus;

28/100 * x = 1460

28x = 100 * 1460

x = (100 * 1460)/28

x = 5214.30

Identify the slope and y intercept in the equation y=25x + 32​

Answers

Answer:

y= 57x

Step-by-step explanation:

25 + 32 = 57x y = 57x

what is the value of x in this triangle

Answers

Answer:

30

Step-by-step explanation:

if the total angles in a triangle equals 180, and   there is 6x in total (after adding it up), 180 divided by 6 equals 30.

Hope that makes sense!

A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences

Answers

Answer:

$110.88

Step-by-step explanation:

Let L be the length of the first fence surrounding the garden and P its perimeter.

For a square, P = 4L,

So, L = P/4

Since P = 36 feet,

L = P/4

= 36/4

= 9 feet

Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3

= 9 + 3

= 12 feet.

So, the perimeter of the second fence is P' = 4L'

= 4 × 12 feet

= 48 feet.

So, the total length of the two fences is P" = P + P'

= 36 feet + 48 feet

= 84 feet

Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye

If \triangle ABC△ABC is equilateral, solve for x.




x=

Answers

Answer:

x = 13

Step-by-step explanation:

The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.

If you need proof of that, remember that x + x + x  = 180. Every triangle has 180 degrees.

if 3x = 180 then 1 x is 60

8x - 44 = 60       Add 44 to both sides.

8x = 60 + 44

8x = 104             Divide by 8

x = 104/8

x = 13

41 percent of 78 is what?

Answers

Answer:

31.98

Step-by-step explanation:

78 * .41 = 31.98

31.98 is the correct answer

To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Priya buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the percent error?

Answers

Answer:

The percent error is 4%

Step-by-step explanation:

Expected value of egg = 2.5 oz

Observed value of egg = 2.4 oz

We need to find the percent error.

The formula used to calculate percent error is: [tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%[/tex]

We use || (absolute) sign because if the answer is negative, we considered it as positive i,e |-a| = a

Putting values in formula and finding percent error

[tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%\\Percent\:error=|\frac{2.4-2.5}{2.5}| .100\%\\Percent\:error=|\frac{-0.1}{2.5}| .100\%\\Percent\:error=|-0.04|.100\%\\We\:know\: |-a|=a\\Percent\:error=0.04.100\%\\Percent\:error=4\%[/tex]

So, the percent error is 4%

Simplify.
2x^2−3xy+4y^2

Answers

it’s simplified as far as it can be. it’s not factorable either

Based on his skills in basketball, it was computed that when Joe Sureshot threw a free throw, the odds in favor of his making it were 4 to 35. Find the probability that when Joe shot a free throw, he made it. Out of every 100 free throws he attempted on the average how many did he miss?

Answers

Answer:

11.43%    

89 free throws would miss

Step-by-step explanation:

In order to find the percentage probability of Joe making a free throw show we need to the odds given and then multiply that decimal value by 100 like so...

4 / 35 = 0.11428

0.11428 * 100 = 11.43% rounded up

If Joe were to shoot 100 free throws 11.43% would most likely go in but since the actual number can only be a whole number it would mean that 11 of those 100 free throws would go in.

100 - 11 = 89

Therefore, 89 free throws would miss on average.


Work out 97.974436÷14and give your answer to 2 decimal places.​

Answers

Answer:

7

Step-by-step explanation:

97.974436/ 14= 6.998174

round to 2 decimal places by looking at the third digit after decimal and is 8 that is greater than 5 so will round up the second digit after the decimal

But, that will make 9 a 10 so we have to make the number 7

What is 23/24 as a decimal rounded to the nearest hundredth?

Answers

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

To learn more about rounding of numbers click :

https://brainly.com/question/4896544

#SPJ5

Please help meeeee :,(

Answers

Answer:

I pretty sure the answer is ASA, I hope it's right!

There are 13 books on a shelf. 5 of these books are new. The rest of them are used.

Answers

Answer:

So there is 8 old books

Step-by-step explanation:

Answer:

so 8 books are being used and 5 are new total of 13 :)

Step-by-step explanation:

A fraction whose value is the same as 3/4 is

Answers

Answer:

[tex] \frac{6}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} [/tex][tex] = \frac{3 \times 2}{4 \times 2} [/tex][tex] = \frac{6}{8} [/tex]

Please help me I’m so behind and I’m going to fail if I can’t get this answer. I need 15 but can someone also do 14.

Answers

It’s d hope that helps

Answer:

its d 100%

Step-by-step explanation:

Zoey has 99 years .She plans to make 5 bangles .Each bangle is made using 30 beads how many more beads does zoey need?​

Answers

Note: I am assuming you meant to say:

Zoey has 99 beads instead of 99 years.

Answer:

Zoey needs 51 more beads to make 5 bangles.

Step-by-step explanation:

Total number of beads Zoey currently has = 99 beads

Beads need to make one bangel = 30 beads

so

Beads need to make 5 bangles = 30 × 5 = 150 beads

Since she has already 99 beads.

So, all we need s to subtract 99 beads from 150 beads.

Therefore,

The number of beads Zoey needs = 150 - 99

                                                          = 51 beads

Thus, Zoey needs 51 more beads to make 5 bangles.

Which division problem can be described using this model?

2÷15

2÷5​

2÷110​

1÷110​
Two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

Answers

Answer:

2 divided by 5

Step-by-step explanation:

Hope this helped!! Give brainliest

The division 2÷5 describe the two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

So the one strip represents one whole and two represents 2

So each strip represent 2÷5

Thus, the division 2÷5 describe the two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

HELPP ASAP PLEASE, WILL GIVE BRAINLIEST !!!!!
Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to $11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution.

What are the functions?

Answers

Answer:

$88.00.

Step-by-step explanation:

here is how I got my answer,

first you multiply 11, 8 times then you will get a total of $88.00.

second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.

therefore your answer is $88.00.

The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.

Answers

Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

Perimeter P = 2(L+W)

L is the length = 4feet

W is the width = 12 feet

Perimeter = 2(4+12)

Perimeter = 2(16)

Perimeter  = 32 feet

Convert to inches

12in = 1feet

x = 32 feet

Cross multiply

x = 12 * 32

x = 384in

Hence the perimeter of the school mascot is 384in

If it is to be completely framed using a single row of square tiles each 2inches on an edge

2 inches = 1 tiles

384inches = y tiles

Cross multiply

2y = 384

y = 384/2

y = 192 tiles

The number of tiles needed is 192 tiles

Get the cost of 192tiles

If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2

Hence the cost of the tiles needed is $19.2

x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)​

Answers

Answer: Substitution (7,4)

Step-by-step explanation: Since the value of X is given to us, just plug that in to the other equation to solve for the y coordinate.

Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.

Answers

Answer:

the slope is -9

Step-by-step explanation:

its with x and decreases by 9

Is this set of ordered pAirs a function
(0,2) (3,3) (8,7) (2,2) (3,9)

Answers

Answer:

No, not a function

Step-by-step explanation:

Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.

Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?

Answers

Answer:

10 divided by two fifths = 25

4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?

Answers

Answer:

15000

Step-by-step explanation:

I need help I don’t understand

Answers

Answer:

Step-by-step explanation:

let the other point be (x,y)

then

[tex]2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)[/tex]

Help please!!! I will give you the brainlyst if you helppp me

Answers

Answer:

the slope is 30 and it represents the total cost of the repair dont know 2 number 3 is for 10 hours he got paid 320 $ 4 ,270 $, 5,15.6

Step-by-step explanation:

which expression is equal to -3(4x - 2) - 2x?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

Will give crown will post one more

Answers

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

Give me that crown again

Answer:

22, 19, 16, 10

Step-by-step explanation:

y = 25-(3*1)= 22

y = 25-(3*2)= 19

y = 25-(3*3)= 16

y = 25-(3*5)= 10

Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)

Answers

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

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