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Bezzdna [24]
3 years ago
8

Do same-side interior angles have to be on the same (in this case) horizontal line?

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

if the horizontal lines are all parallel, then yes, as long as the angles are on the same side. If the horizontal lines are parallel but the angles are on opposite sides, then no. If the horizontal lines are not parallel, then it would require more work to figure it out


jolli1 [7]3 years ago
4 0
Yes because it’s called same side interior so same lineee
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NEED HELP ASAP PLEASE! WITH BOTH QUESTIONS #10 and #11!
natali 33 [55]

Answer:

The answer for 10 is y= -4x+2

If the slope is exactly the same but the y intercept is different then it will be parallel

The answer for 11 is y-5=-3/2 (x-1)

Step-by-step explanation:

4 0
3 years ago
Please help!
Dmitrij [34]

Answer:

$5.10

Step-by-step explanation:

15% of 34

15/100 × 34 = $5.10

3 0
2 years ago
I’m thinking of a number.if you multiply it by 6 and then add 10 you will get 58.what is my number?
Anna007 [38]

Answer:

your number is 8

Step-by-step explanation:

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48 divided by 6=8

3 0
2 years ago
Sort the systems of equations into the appropriate bins that describe their solutions.
Mumz [18]
The last one is no solutions and the first on is <span>infinitely many solutions and the second one is one solution. I am pretty sure! Hope this helps!</span>
3 0
3 years ago
Graph the line given by 5x+6y=12 and the circle given by x²+y²=1.Find all solutions to the system of equations.
kenny6666 [7]

Answer:

The system has no real solution.

Step-by-step explanation:

Hi there!

We have the following system of equations:

x² + y² = 1

5x + 6y = 12

The solutions of the system are those (x,y) pairs that satisfy both equations.

Let´s take the second equation and solve it for y:

5x + 6y =12

subtract 5x to both sides of the equation

6y = 12 - 5x

divide by 6 both sides

y = (12- 5x)/6

Now, let´s replace the y in the first equation:

x² + y² = 1

x² + [(12- 5x)/6]² = 1

Apply distributive property

x² + (12 - 5x)²/36 = 1

x² + (12 - 5x)(12 - 5x)/36 = 1

Apply distributive property

x² + (144 - 120x + 25x²)/36 = 1

Apply distributive property

x² + 4 - 10/3 · x + 25/36 · x² = 1

subtract 1 to both sides

61/36 · x² - 10/3 · x + 3 = 0

Using the quadratic formula, let´s find the solutions to this quadratic equation:

a = 61/36

b = -10/3

c = 3

[-b ± √(b² - 4ac)]/2a

[10/3 ± √(100/9 - 4(61/36)(3))]/2(61/36)

(10/3 ± √-83/9)/61/18

This expression has no real solution because √-83/9 is not defined in the set of real numbers. This means that both curves don´t intersect (see attached figure).

Have a nice day!

3 0
3 years ago
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