Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24) (4x + 36) к P

Algebra KPL And LJPL Are A Linear Pair, M_ KPL = 2x + 24, And MLJPL = 4x + 36. What Are The Measures

Answers

Answer 1

Answer:

64° = ∠KPL116° = ∠JPL

Step-by-step explanation:

The sum of the measures of a linear pair of angles is 180°.

  (2x+24) +(4x+36) = 180

  6x = 120 . . . . . . subtract 60, collect terms

  x = 20

  (2(20) +24)° = 64° = ∠KPL

  (4(20) +36)° = 116° = ∠JPL


Related Questions

2x+8 + 3x+6 = 7x i need help fast

Answers

Answer:

x=7 Hope this helps :)

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+3x+6=7x

Step 1: Simplify both sides of the equation.

2x+8+3x+6=7x

(2x+3x)+(8+6)=7x(Combine Like Terms)

5x+14=7x

5x+14=7x

Step 2: Subtract 7x from both sides.

5x+14−7x=7x−7x

−2x+14=0

Step 3: Subtract 14 from both sides.

−2x+14−14=0−14

−2x=−14

Step 4: Divide both sides by -2.

−2x

−2

=

−14

−2

x=7

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]

Add the like terms : 2x and 6

[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]

Move 7x to left hand side and change it's sign

Similarly, move 14 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]

Subtract 7x from 5x

[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]

Divide both sides by -2

[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]

Hope I helped!

Best regards! :D

Joel reads 3 books each month as part of his book club. After belonging to the book club for 7 months, how many books will Joel have read in all?

Answers

Joel reads 21 books in the span of 7 months

Answer:21

Step-by-step explanation:

The equation would be 3x

X being months he was on the book club so x would be 7

3(7)=21

The sum of three consecutive numbers is 198. Find the numbers.
(Show Your Work)

Answers

Answer:
first number = x
second number = x + 1
third number = x + 2

x + x + 1 + x + 2 = 198
3x + 3 = 198
3x = 195
x = 65

the numbers are 65, 66, and 67

Bob, Joe, Pete, Tom, Dic and Tim share s sandwiches. How many sandwiches does each boy get?

Answers

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

this is integrated math2, i’m so lost idk what this is

Answers

If you have questions just message me. I hope this helps

what is the distance between (7, -2) and (3,1) pls help fast

Answers

Answer:

it would be 5

Step-by-step explanation:

Convert 1.76km into cm

Answers

Answer:

176000cm

Step-by-step explanation:

1.76km * 1000m / 1km * 100cm / 1m = 176000cm

Answer:

176000

Step-by-step explanation:

To convert km to cm, we need to multiply the number by 100000, which results in your answer.

Please help me. 50 point question

Answers

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

The question states that the angles are supplementary, meaning that both angles add up to 180. The prompt also says that angle r is 120°, this means that:

m
Plug in what you know:

120° + m
Subtract 120° from both sides:

120° + m-120° -120°

And you get:

m
Hope this helped!

Jennifer is saving money to buy a bike. The bike costs $294. She has $126 saved, and each week she adds
$14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.

Answers

Answer:

the answer should be 12 weeks

Step-by-step explanation:

Because, 294-126=168 and 168 divided by 14 is 12

Find a general term an for the sequence whose first four terms are given.
2, 4, 8, 16, ...

Answers

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)

The difference of 5 times a number and 13 is 10. Find the
number.

Answers

Answer:

let the number be a.

now,

5a-13=10

or, 5a= 10+13

or, a = 23/5

or, a = 4.6

therefore, the number is 4.6

Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, what is Stephanie's age?​

Answers

Answer: Stephanie is 15

Step-by-step explanation:

because you can do 24 divided by 2 which equals 12 then add three to 12 and you get 15.

you're welcome! plz lmk if i'm wrong XD

Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, then Stephanie's age is 15 years.

To find Stephanie's age, we need to follow the given information that her age is 3 years greater than half of her sister's current age.

First, we find half of her sister's age: Half of 24 = 24 / 2 = 12

Next, we add 3 years to half of her sister's age: 12 + 3 = 15

Therefore, Stephanie's age is 15 years.

Age can be used in mathematical equations and word problems to solve for unknowns or to establish relationships between different quantities. For example, age-related math problems might involve scenarios such as Finding someone's age given their birth year and the current year,  Calculating the average age of a group of people and Determining the age difference between two individuals based on their birth years.

Learn more about Age here:

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Solve using standard algorithm 57.03+2.08

Answers

Answer:

59.08

Step-by-step explanation:

Consider this Venn diagram of the prime factors of 210 and 330. Which is the least common multiple of these two numbers?

Answers

The least common multiple of these two numbers is 2310. Hope this helps

3(5x-2)=15x-6 is their a solution or no

Answers

Answer: 0 = 0

Step-by-step explanation: there is no solution  

Which of the following answer choices shows which numbers from the list below are less than - 0.94?

Answers

Answer:

-2.23, -2 2/5, -0.95

Step-by-step explanation:

-15/16 = -0.9375 (greater than -0.94)

0.24 (greater than -0.94)

-2.23 (less than -0.94)

97% = 0.97 (greater than -0.94)

-2 2/5 = -2.4 (less than -0.94)

-0.95 (less than -0.94)

Which solution set satisfies the inequality y+19>_13

Answers

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

This is also due tonight..​

Answers

Answer: F,E,D

Step-by-step explanation: F,E,D is complementary to F,G,C because it is The angle F,E,D is a corresponding angle.

If there are 2.2 pounds in 1 Kilogram, how many pounds are there in x kilograms?

A)2.2x

B)2.2/x

C)x/2.2

D)2.2+c

Answers

Answer:

The answer is A

Step-by-step explanation:

If there are 2.2 in 1 kilogram and you are trying to find out how many are in many kilograms then you multiply.

Hopefully this helps you :)

pls mark brainlest ;)

The expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that there are 2.2 pounds in 1 Kilogram. Therefore, the expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

Learn more about Units conversion:

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Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).

Answers

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

Learn more about slopes here:
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Question is incomplete, correct question has added below.

The midpoint of AB is M(-3,-3). If the coordinates of A are (-8,-2), what are the coordinates of B? Please explain

Answers

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

7.2 times 1/9 I need help!

Answers

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

Learn more about fraction here:

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helpp mee pleaseee !

Answers

Answer:

Constant of proportionality, [tex]r = \frac{1}{10}[/tex]

If 30% of a number is 60 and 70% of the same number is 140, find 40% of that

Answers

Answer:

80? im like 90% sure its 80

Please I will mark brainlist list
Based on the patten in the table what is the value of a?
-64
-12
1/16
1/64

Answers

1/64. Because 2 raised to the -6 power is 1/64 and its in fraction form. It wouldn’t be -12 because you do Not multiply 2 and -6 together. It wouldn’t be -64 or 1/16 either.

Solve the inequality
2(4+2x)≥5x+5

Answers

Answer:

x ≤ 3

x ∈ [ 3 ; +oo )

Step-by-step explanation:

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
True
False

Answers

Answer:

True

Step-by-step explanation:

2x+3y=6

2(0)+3y=6

0+3y=6

3y=6

y=2

The function 20x - y = 250 describes the profit y Bridget can make from selling x pairs of earrings. The graph of this function is a line. Find it’s slope.

Answers

Answer:

20

Step-by-step explanation:

y=mx+b

m=slope

y=20x-250

20 would be the slope in the equation

4(1 - 4r) + 5(r - 7)

Answers

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

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