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2 months ago

Prove the Lines are Parallel detailed two column proof for the following Given: 1 and 3 are supplementary Prove: a || b

Mathematics

1 answer:

Lady_Fox [76]2 months ago

7 0

The line a and b from the given line diagram is parallel since <2 and <3 are corresponding angles.

<h3>Column proof of angles</h3>

An angle is the point where two lines meet or intersect. From the given line diagram, we are told that <1 and <2 are supplementary.

Since the sum of supplementary angles is 180 degrees, hence;

<1 + <3 = 180 degrees

Also <1 + <2 = 180 degrees (sum of angles on a straight line)

<1 = 180 - <3

<1 = 180 - <2

Equate

180 - <3 = 180 - <2

-<3 = -<2

<2 = <3 (corresponding angle)

Since <2 is equivalent to <3, hence the line a is parallel to b

Learn more on line and angle theorem here: brainly.com/question/24839702

#SPJ1

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Lana71 [14]

The solution to this inequality is 4 < x or x > 4.

In order to solve this, follow the steps to solving an equation with one variable. The steps are below for you.

2x + 8 < 5x - 4 ------> Subtract 2x from both sides

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7 0

2 years ago

Please help asap 25 pts

beks73 [17]

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2 years ago

The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School

storchak [24]

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

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remember to number your equations

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6x+9y=504.........2

make x the subject of one equation

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subs 3 into 2

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$- 7y + 9y = 504 - 412$

$2y = 92$

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subs 4 into 1

$6x + 7(46) = 412$

$6x + 322 = 412$

$6x = 412 - 322$

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Therefore there are 15 students in each van and 46 students in each bus.

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2 years ago

Resource managers need to determine the number of years after which purple loosestrife will cover more than 850 acres of the wet

AnnyKZ [126]

Answer:

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Step-by-step explanation:

PLATO!!

6 0

2 years ago

Read 2 more answers

$43.68532 rounded to the nearest dollar is?

Sedaia [141]

Note that when rounding, if the number is:

5 or greater, round up

4 or less, round down

43.68532 rounded to the nearest dollar is 44, as 6 rounds up

$44 is your answer

hope this helps

8 0

2 years ago

Prove the Lines are Parallel detailed two column proof for the following Given: 1 and 3 are supplementary Prove: a || b​

Prove the Lines are Parallel detailed two column proof for the following Given: 1 and 3 are supplementary Prove: a || b