Given: angle 1 and angle 2 form a linear pair,


Proven: angle 2 and angle 3 are supplementary

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

We will write the proof in like a table

1. ∠1 and ∠2 formed a linear pair  ⇒  1. Given

2. m∠1 + m∠2 = 180°  ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles  ⇒  3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3  ⇒  4. Given

5. m∠2 + m∠3 = 180°  ⇒  5. Substitution method

6. ∠3 is a supplement of ∠2  ⇒  6. Supplement of equal angles

7. ∠2 and ∠3 are supplementary  ⇒  7. Proved

-(1+7x) - 6(-7 - x) = 26

Given the function below, if h(x)=−4, find x. h(x)=−6x+20

Simplify 18m^0 / 18^0

Factor Completely.
x^4-81

fred pays 6% of his monthly salary for social security. how much does he pay each month for social security?

Help me with this I’ll mark you brainliest

Katha walks 5 blocks east. Then she walks straight back to where she started and walks 5 blocks west.
Graph 5 on the number line to present how far Katha walked east. Then graph Katha location after she walks west. Click the number line to indenifty the location of the points

Which could be used to evaluate the expression
O (-6)(4)+(-6) ()
O (-6)(4)x(+6)
O (+6+4)(8+3)
O (+8+4)(-0,3

x^3 - 5x^2 - x + 5 ​

7. A mechanical device is used to launch a potato vertically into the air. The potato is launched from a platform 20 feet above the ground, with an
initial vertical velocity of 92 feet per second. The function h(t) is shown
below. Which of the following statement is TRUE? Select ALL that apply.

1. The potato was launched from the ground.

2. The flight is symmetric about the line t = 2.

3. The potato reaches a maximum height of about 3 ft

4. The potato is in the air during the interval 0
5. The potato reaches its maximum height after about 3 seconds in flight.

6. h(2)=h(5)

I need the answer ASAP

What is the area of the figure?

What is k(-4)?

K(t)=13t-2

find the equation of the line in slope-intercept form. e through (−5, 6) with slope = 3

SOLVE THIS FAST THE FIRST ONE WILL BE MARKED THE BRAINLIEST PLEASE ANSWER!!!!!!!

How to find the LCM of two numbers?

Can someone help me please

Given the parent function , which of the following is true about this graph? The parent function was translated. The parent function was reflected. The parent function was dilated. The parent function was restricted.

In a geometric system, which would best describe how postulates differ from
theorems?
F.
Postulates do not require a proof and are presumed true, while theorems are
statements requiring proof.
Postulates are statements that require proof, while theorems cannot be proven.
Both postulates and theorems do not require proof and are assumed to be true.
There is no difference between postulates and theorems.
H.

hallar el complemento de los siguientes angulos y utiliza el siguiente simbolo (°) x= 33°​

Use elimination to solve the following system.
x+y= 10
3x + 3y = 30
A. (0, 10)
B. (10,0)
C. no solution
D. infinitely many solutions
Hurry !

1. What is the value of x in the equation 4x – 2(x + 3) = 8? (LT 1a)
a. x = 1 b. x = 2.5
C. X = 3.5
d. x = 7

50 divided by 2 + 5 multiplied by 10 divided by 2 + 7

John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States. The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world. Mountain Location Height (in meters) of Highest Peak Mount Whitney California, United States 4,418.38 meters Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters Mount Everest Great Himalayas of southern Asia 8,849.87 meters Mount Kilimanjaro Tanzania, Africa 5,894.83 meters Mount Olympus Mytikas, Greece 2,919.07 meters Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations. Part A: Use scientific notation to estimate the following: How many times greater is Mount Everest's highest peak than Mount Olympus's? Part B: Use scientific notation to calculate the following: How many times greater is Mount Everest's highest peak than Mount Olympus's? Part C: Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.

evaluate 16^1/2 x 2^-3
Give your answer as a fraction in its simplest form.

please answer this for me ​

Solve for x.
-15x + 60 ≤ 105 AND 14x + 11 ≤ -31

ased on the data, which table shows a proportional relationship? 4 tables with 2-columns and 3 rows. Column 1 is labeled Oranges and Column 2 is labeled Cups of Juice. Table A has column 1 entries 3, 4, 5. Column 2 entries are 1, 2, 3. Table B has column 1 entries 3, 6, 9. Column 2 entries are 1, 2, 3. Table C has column 1 entries 3, 3, 3. Column 2 entries are 1, 2, 3. Table D has column 1 entries 3, 5, 7. Column 2 entries are 1, 2, 3.

mary bought fifteen dozen eggs from the grocery store to bake some cakes. she plans to bake the cakes over two days. how many eggs did mary buy?

Find the sum:
20°15' 18"
30° 41' 32"
+2 30' 15"
________​