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

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

Answers

Answer 1

Answer:

5. x = 13

6. x = 11; y = 3

Step-by-step explanation:

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

[tex] 9x + 2 = 119 [/tex]

Subtract 2 from each side

[tex] 9x + 2 - 2 = 119 - 2 [/tex]

[tex] 9x = 117 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{117}{9} [/tex]

[tex] x = 13 [/tex]

6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)

[tex] 9x + 25 = 13x - 19 [/tex]

Collect like terms

[tex] 9x - 13x = - 25 - 19 [/tex]

[tex] -4x = -44 [/tex]

Divide both sides by -4

[tex] \frac{-4x}{-4} = \frac{-44}{-4} [/tex]

[tex] x = 11 [/tex]

(13x - 19)° + (17y + 5)° = 180° (linear pair)

[tex] 13x - 19 + 17y + 5 = 180 [/tex]

Plug in the value of x and solve for y

[tex] 13(11) - 19 + 17y + 5 = 180 [/tex]

[tex] 143 - 19 + 17y + 5 = 180 [/tex]

Collect like terms

[tex] 129 + 17y = 180 [/tex]

Subtract 129 from both sides

[tex] 129 + 17y - 129 = 180 - 129 [/tex]

[tex] 17y = 51 [/tex]

Divide both sides by 17

[tex] \frac{17y}{17} = \frac{51}{17} [/tex]

[tex] y = 3 [/tex]


Related Questions

Probability.

!!!!!!!!!!!!!!
will mark brainliest

Answers

Answer:

2/9ths hope this helps!

Please mark brainliest.

Step-by-step explanation:

- 3m + 6 (m - 2) = 9

Answers

Answer:

m=7

Step-by-step explanation:

step 1: -3m+6m-12=9

step 2: 3m-12=9

step 3: 3m=21

step 4: m=7

Answer:

m=7

Step-by-step explanation:

1. Simpilfy both sides of the equation & combine like terms

2.  Add 12 to both sides

3. Divide 3 from both sides

21 divided by 3 equals 7.

Find the height of triangle whose are is 1500m2 and base 7.5 cm

Answers

Answer:

x = 400 m^2

Step-by-step explanation:

[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]

give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?​

Answers

Answer:

0

Step-by-step explanation:

Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20

Answers

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

solve this equation 3/10x-4=40-2x

Answers

I Am Pretty Sure The Answer Is x=440/23

Hope This Help's

hey how do you do this problem​

Answers

I am not sure hope you figure it out

-5x - 12 + 8x - 8
Your answer

Answers

Answer:

(3x)-20

Step-by-step explanation:

Answer:

3x-20

Step-by-step explanation:

You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20

10 times 1200000000000000

Answers

Answer:

1.2e+16

hope it helps :)

PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?

Answers

Answer:

greater

Step-by-step explanation:

greater beacause 1 kilo =35.274 ounce

Hi, I need help answering 7x+5x+1=73 and I keep getting it wrong. HELP!!

Answers

Answer:

x = 6

Step-by-step explanation:

7x+5x+1=73

12x+1=73

12x=72

x= 6

The price to mail a letter at the post office is $0.49 for the first ounce

and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.

How much did the letter weigh?

Answers

The letter weighted 7 ounces

Please help me out people! Probability I guess!..........................................................................................................................................................there are 10 marbles. you get two out of the bag. how much percent of the marbles did you take out?

Answers

Answer:

20%

2 out of 10 marbles is 2/10.

Convert 2/10 to a percentage.

2/10 = 20%.

The answer is 20%. Hope it helps!

Answer:

20 percent

Step-by-step explanation:

I can't get the percentage sign . lol

3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?

Answers

Answer:

202.50 was collected in the second month of school

Step-by-step explanation:

thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50

-3 - 3x = -4(2x + 7)

Answers

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Write -2.32 as a mixed number in simplest form.

Answers

Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?​

Answers

Answer:

the solpe is 1x or just x

Step-by-step explanation:

rise over run both are 1

Answer:

[tex]\boxed {\tt m=1}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:

[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m=\frac{5-2}{4-1}[/tex]

Solve the numerator. Subtract 2 from 5.

[tex]m=\frac{3}{4-1}[/tex]

Solve the denominator. Subtract 1 from 4.

[tex]m=\frac{3}{3}[/tex]

Divide 3 by 3.

[tex]m=1[/tex]

The slope of the line is 1.

please tell me what x is 3(x+6)=48

Answers

Answer

X=10

Step by step explanation

48÷3 = 16

16-6 = 10

find the 120th term of the following sequence
7, 14, 21, ...
a120 =

Answers

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840

does 3 times 9.99 give me 29.97?

Answers

Answer:

Yes it does.

Step-by-step explanation:

Answer:Simple and best practice solution for 9.99 is what percent of 29.97. Check how easy it is, ... 100=3*x - we divide both sides of the equation by (3) to get x 100/3=xno it does not

Step-by-step explanation:

Pls help stuck on it

Answers

x+16 should be equal to 2x+17+6.If you do the algebra you get x is equal to negative 7 so the answer is C

C. x = -7

2x + 23 = x + 16

x = -7

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

How can parallel lines be used to compare figure E and F? Explain your reasoning.

Answers

When the e and f are displayed

Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)​

Answers

Answer:

[tex]MP= (-2,1 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]

Please help me with this!

Answers

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)



This table displays the height of a balloon as it floats away.



A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.



What is the rate of change for the height as the time increases by 1 minute?





Rate of change =

Answers

Answer:

The rate of change is 9.5 ft/min

Step-by-step explanation:

every minute the balloon rises in 9.5 feet increments

Answer:

its 9.5

Step-by-step explanation:

At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answers

Answer:

$5 and $3

Step-by-step explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

b + 2s = 114b + 3s = 29

From the first equation we get:

b = 11 - 2s

Replacing in the second equation:

4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3

Then

b = 11 - 2*3 = 11 - 6 = 5

So banana split costs $5 and hot fudge sundae costs $3

what is

-4|5+m|
[tex]m = - 3[/tex]

Answers

Steps to solve:

-4|5 + m|

~Substitute

-4|5 - 3|

~Simplify

-4|2|

~Multiply

-8

Best of Luck!

A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars

Answers

Answer:

$18

Step-by-step explanation:

small -$3

large - $15

3+15=18

Answer: The equation is $3 + ($3 x 5)

Step-by-step explanation:

You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.

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