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Reika [66]
3 years ago
6

I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

2x + 6y = -12

Subtract 2x from both sides.

6y = -12 - 2x

Divide both sides by 6.

y = -2 - 1/3x

Rearrange.

y = -1/3x - 2


Line b:

2y = 3x - 10

Divide both sides by 2.

y = 1.5x - 5


Line c:

3x - 2y = -4

Add 2y to both sides.

3x = -4 + 2y

Add 4 to both sides.

2y = 3x + 4

Divide both sides by 2.

y = 1.5x + 2


Now, let's compare our new equations:

Line a: y = -1/3x - 2

Line b: y = 1.5x - 5

Line c: y = 1.5x + 2

Now, the rule for parallel and perpendicular lines is as follows:

For two lines to be parallel, they must have equal slopes.

For two lines to be perpendicular, one must have the negative reciprocal of the other.

In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.

<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
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Ghella [55]

In a parallelogram, the opposite angles will be congruent to each other.


In this parallelogram, angles B and C are congruent, and angles A and D are congruent.


We will work on angles B and C first. Set the two angles to equal each other:


12x + 6 = 6x + 66


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Subtract 6x from both sides:


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Divide both sides by 3 to get y by itself:


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y will equal 18.


The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.

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3 years ago
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77julia77 [94]

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

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5 0
2 years ago
You mix 1/ 3cup of blue paint for every 2/ 3cup of yellow paint to make green paint. You use 4 cups of yellow paint. How much bl
Black_prince [1.1K]

Answer:

You will use 2 cups of blue paint for 4 cups of yellow paint.

Step-by-step explanation:

Given that:

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Multiplying both sides by 3/2

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2 years ago
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The number of students in 5th grade is 60, since 24% of 250 is 60.

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8 0
2 years ago
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liraira [26]

Step-by-step explanation:

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Below is a general approach to most/any word problem

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