Completing Proofs Involving Linear Pairs

Given: m ZELG = 124°

Prove: x = 28

Statements

Reasons

1. m ZELG = 124

1. given

2. m ZELD = 2x

2. given

H

L

3. ZELG and ZELD are

a linear pair

3. definition of a linear pair

(2x)

G

4. m ZELD + m ZELG = 180

4.

Ε

• F.

5. 2x + 124 = 180

5. substitution

Complete the steps in the two-column proof.

6.

6. subtraction property

7. x = 28

7. division property

Intro

Done

vity

Answers

Answer 1

Answer:

1. angle addition post

2. 2x=56

Answer 2

The corresponding angles of the lines solved and the value of x = 28°

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Given data ,

Let the measure of ∠ELG = 124°

The measure of ∠ELD = 2x

∠ELG and ∠ELD are a linear pairs of angles

So , the measure of ∠ELG  + ∠ELD = 180°

On simplifying , we get

2x + 124° = 180°

Subtracting 124° on both sides , we get

2x = 56°

Divide by 2 on both sides , we get

x = 28°

Therefore , the value of x is 28°

Hence , the angle is x = 28°

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Related Questions

Write the following number in
scientific notation.
653,000

Answers

Answer:

6.53 X 10^5

Step-by-step explanation:

Answer:6.53 x 10*5

Step-by-step explanation:i don’t know how to show 5 as a small number but it’s an exponent

What’s the answer????

Answers

Answer:

It's so dark! There are some words I can't see.

help me i need this rn
Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register
#1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash
receipts for Saturday?

Answers

Answer:

I gotten 17,686.98

Step-by-step explanation:

Hope that helps :)

write a linear function f with the values f(2)=4 and f(-7)=9

Answers


Answer:
f(x) = -5/9 x + 5 1/9
Step-by-step explanation:
f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)
f(x) = mx + b
m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9
for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9
f(x) = -5/9 x + 5 1/9
check for (-7, 9) f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9

A package of 5 pairs of insulated gloves cost $39.45 what is the unit price of the pairs of gloves

Answers

Answer:

$7.89

Step-by-step explanation:

divide the cost by the amount


Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)

Answers

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

Answer:

f(- 2) = 2

Step-by-step explanation:

To evaluate f(- 2), substitute x = - 2 into f(x), that is

f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2

Given f(x) = 3x – 2, find f(-5).

Answers

Step-by-step explanation:

put -5 into x

then

3*-5 is -15 (-2)

-17 is your answer

f(x)=-17 hopes this helps :)

Use quadratic formula to solve 16+8x+x^2=0​

Answers

Answer: x=-4

Step-by-step explanation:

Help me please!!!!!!!!!!

Answers

?????????????????????????????

Which expression represents the sum of 31 and 104,
divided by 3?

Answers

Answer:

The answer is 45

Step-by-step explanation:

Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45

The expression (31 + 104) / 3 is equal to 45.

The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.

To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.

Dividing 135 by 3 yields a result of 45.

Therefore, (31 + 104) / 3 is equal to 45.

The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.

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The Antique Auto News charges $39.00 for a three-line classified ad. Each additional line costs
$7.50. If you want to place a photo in the ad, it costs and extra $32.00. How much would a four-line ad
with a photo cost?

Answers

Answer:

add 39 and 7.50 then add 32

Step-by-step explanation:

The total cost will be 78.50 because you need four lines and there’s a deal where you get 3 lines for 39 dollars so you need one more line to make four and that one line cost 7.50 and if you want add it would be 32.00 so it would be 78.50

Which graph represents the equation y = 2x + 1?

Answers

Answer:

B, the second one.

Step-by-step explanation:

Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1,  so you would use rise over run to find the correct answer choice.

Answer:

B the second one

Step-by-step explanation:

I got right trust me frfr

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44

So the numbers are 44 and 46

What the slope of (19, -12) (5, 16)

Answers

Answer:

-1/2

Step-by-step explanation:

Slope is ∆y/∆x

i.e y2-y1/x2-x1

16-(-12)/(5-19)

28/-14

s = -2

Just number 4 plz help

Answers

Answer:

They are similar

Step-by-step explanation:

the rectangle have the same proportions

the sides of the big one are 4:6 and the small one is 2:3

they both simplify to 2:3 so that means they have the same proportions which means they are similar

Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help

Answers

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?

Answers

Answer:

40%

Step-by-step explanation:

Number of girls = 7

Number of boys = 13

Total students = 7 girls + 13 boys

= 20 students

Running club

Number of girls = 5

Number of boys = 3

Total students in the running club = 5 girls + 3 boys

= 8 students

percentage of the students that are in the Running club = Total students in the running club / Total students

× 100

= 8/20 × 100

= 0.4 × 100

= 40%

Percentage of the students

at this Private School are in the Running club is 40%

What would the slope for this graph be?

Answers

Answer:

3/1

Step-by-step explanation:

you just start at the point where the line intersects the corner

if i have 2 cookies but share 1/2 with my friends how many coookise i shared

Answers

Answer:

1 cookie

Step-by-step explanation:

2 times 1/2=1

How this works: Since your sharing 1/2, you technically sharing one half of 2 cookies. One half of 2 cookies is 1 cookie.

Answer:

1 coookise

Step-by-step explanation:

1/2 of 2 is 1

This toy barn has floor dimensions of 2 in. by 3 in. The height of the roof is 0.5 in. If the volume of the barn is 16.5 in.3, what is the height of the rectangular prism section of the toy barn?

2 inches
2.5 inches
3 inches
3.5 inches

Answers

Answer:

2.5 inches

Step-by-step explanation:

woot

Answer:

2.5

Step-by-step explanation:

Which inequality does the graph represent?


A. y −x − 3

B. y > −x − 3

C. y ≤ −x − 3

D. y ≥ −x − 3

Answers

y>-x-3 is going to be the answer. No lint under inequality symbol

Answer:

y > −x − 3

Step-by-step explanation:

could someone help me with this math question? its operations with scientific notations

Answers

Answer: 16312.5

Step-by-step explanation:

That took a lot of time. There you go.

Answer:

163125

Step-by-step explanation:

Divide the numbers then divide the exponents. Put them back together once done.

[tex]\frac{5.22}{3.2} = 1.63125[/tex]

[tex]\frac{10^{9}}{10^{4}} =10^{5}[/tex]

To get 163125, I moved the decimal point 5 places to the right since the exponent is 5.

[tex]1.63125*10^{5}=163125[/tex]

write the ratio in the simplest form

Answers

Answer:

what's the ratio?

Step-by-step explanation:

Answer:

whats the ratio

Step-by-step explanation:

Cindy tutors for $20 per hour and gets a $5 tip.

Part A

Which of the following functions represent this situation, if E is Cindy’s total earnings and h is the number of hours she works?

a
E(h) = 20h + 5
b
E(h) = 5h + 20
c
E(h) = 25h
d
E(h) = 20h

Answers

Answer:

I think it is b hopes this helps.

How do I solve this please help me Im failing Algebra1
-2x+1<7

Answers

Answer:

x > -3

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-2x + 1 < 7

Step 2: Solve for x

Subtract 1 on both sides:          -2x < 6Divide both sides by -2:            x > -3

Here we see that any value greater than -3 would work as a solution of x.

Answer:

x>-3

Step-by-step explanation:

First, isolate the variable. So, move the 1 onto the other side.

Because signs change when moved to the other side, + becomes - .

Then, subtracte. 7-1=6.

DIvide both sides by -2.

-2x/-2 is x, and 6/-2 is -3.

So, x>-3

What is a one-hundred sided polygon called? Why?

Answers

Hectogon

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.

Step-by-step explanation:

-3 + 4b + 6 = 9+ 4b - 6
O infinitely many solutions
O one solution
Ob=3
no solution

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

-3 +4b+6=9+4b-6

subtract 4b on both sides( canceling equal terms on both sides)

calculate the sum:

-3+6=9-6

-3+6= 3

9-6=3

3=3

5y= 1/2x -10 find slope and y intercept.​

Answers

Answer:

Slope = 1/10

Y intercept = -2

Step-by-step explanation:

5y = 1/2x - 10

Divide both sides by 5

5y/5 = 1/2x - 10 /5

You will get y = 1/0x - 2

The x part is the slope and the whole number on the far right is the y intercept.

So the slope is 1/10

The y intercept = -2

What is equivalent to 3x – 2y = 4?

Answers

Answer:

This equation is equal to y=3/2x-2

Step-by-step explanation:

Which system matches the graph below?

y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3

Answers

Answer:

(a)

Step-by-step explanation:

[tex]y= -4^{x}[/tex] and y = 2x - 3

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