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Vedmedyk [2.9K]
1 year ago
9

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]1 year 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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PLEASE HELP!!! I really need help with this.
kenny6666 [7]

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  \frac{7a + 1}{2} = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     \frac{2}{5} b + 1 = -11

\frac{2}{5} b   = -11 -1

\frac{2}{5} b   = -12

b = -12 - \frac{5}{2}

b = 20

H.   5 - \frac{9}{2} d = 32

- \frac{9}{2} d = 32 - 5

- \frac{9}{2} d = 27

d =  27 + \frac{2}{9}

d = 6

8 0
3 years ago
Carol is building a screen door. The height of the door is one foot more than twice its width. What is the width of the door if
Arte-miy333 [17]
Hello,

A good method for solving this question is creating an equation to solve for the width of the door.

Let w = the width of the door
Let h = the height of the door

The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1

Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w. 

So, we have h = 2w + 1
7 = 2w + 1
Subtract by 1 on both sides to get:
6 = 2w
Divide by 2 on both sides to get:
w = 3

The width of the door is 3 feet.

However, we should check out answer with the given question to make sure it checks out.

We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.

Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.

The width of the door is 3 feet.

Hope this helps!

6 0
3 years ago
8y+4y-y+6. Can you guys plz tell me
hammer [34]

Answer:

11y+6

Step-by-step explanation:

8y+4y-y+6

Add like terms.

8y+4y-y=11y

11y+6

8 0
3 years ago
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