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Alekssandra [29.7K]
3 years ago
5

Rewrite the statement in conditional form. lines with slopes 2/3 and -3/2 are perpendicular ​

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of the slope of the original line. Let line x represent the original line and let line y represent the line that is perpendicular to line x

A conditional statement is an if - then statement. It is connected by a hypothesis statement and a conclusion statement. The hypothesis statement is "if the slope of line x is 2/3 and the slope of line y is -3/2 which is its negative reciprocal

The conclusion statement is " then, line x is perpendicular to line y

So the combined statement is

if the slope of line x is 2/3 and the slope of line y is -3/2 which is its negative reciprocal, then line x is perpendicular to line y

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Natali5045456 [20]
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2 years ago
Help pls i don’t know how to do this
Vlada [557]

Answer:

m∠1= 79

Step-by-step explanation:

What we have here is two vertical lines and one intersecting point.

The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.

Step 1- Subtract 6x to both sides.

6x+25= 10x-11

-6x        -6x

25= 4x-11

Step 2- Add 11 to both sides.

25= 4x-11

+11       +11

36= 4x

Step 3- Divide both sides by 4.

<u>36</u>= <u>4x</u>

4     4

x= 9

Now that we know the value of the variable x, substitute it into the equation for m∠1.

m∠1= 10(9)-11

m∠1= 90-11

m∠= 79

<u>Check            </u>

m∠6= 6(9)+25

m∠6= 54+25

m∠6= 79

Since m∠1 and m∠6 are vertical angles, they should equal each other.

4 0
3 years ago
What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
stepan [7]

Answer:

y = 1/3 x + 7

Step-by-step explanation:

Given; the line is passing through, (-6,5) and the slope is 1/3

We can get its equation;

We would take, a point (x,y) and the given point (-6,5)

Therefore; Since slope = Δy/Δx

Then;

(5-y)/ (-6-x) = 1/3

3(5-y) = -6 -x

15 - 3y = -6 - x

we get;

3y = 6 + x + 15

3y = x + 21

Therefore;

<u>y = 1/3 x + 7</u>

3 0
3 years ago
Read 2 more answers
Check For Understanding
adelina 88 [10]

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

8 0
3 years ago
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