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Alex73 [517]
3 years ago
5

How can the equations of lines help you identify whether the lines are perpendicular, parallel, or nether?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

Answer:

We can determine whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right, or 90-degree, angle.

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Please Help...........
klasskru [66]
I believe the answer might be:
x = 28/19

Steps:
Expand
3(5 - x)/2 - 4(3 + 2x)/5

-3x + 15 - 8x + 12
------------ -----------
2 5

Find the LCD for the equation above:
(15-3x) * 5 - (12+8x) * 2
------------- --------------
10 10

Now we combine them since the denominators are equal:
5(-3+15) - 2(8x+12)
--------------------------
10

We expand above:
-31x+51
-----------
10
6 0
3 years ago
Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many way
Vadim26 [7]

Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

8 0
2 years ago
Please help!
loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0
3 years ago
The surface areas of two similar solids are 416yd ^2 and 1,354yd ^2. The volume of the larger solid is 2,976 yd^3. What is the v
KatRina [158]
I believe the correct answer is 914 yd ^3hope this helps!

8 0
3 years ago
Read 2 more answers
A clothing store put a sales price of $48 on a purse. Before the markup, the store paid $40 for the purse. What percent markup d
Nimfa-mama [501]

Answer:

20% mark up

Step-by-step explanation:

[(48-40)/40]×100%= 20%

8 0
2 years ago
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