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Ulleksa [173]
3 years ago
11

Select the statement that best justifies the conclusion based on the given information,

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

The third statement is true reason.

Step-by-step explanation:

See the diagram given with this question.

The conclusion is that lines l₁ and line l₂ intersect only at point P.

A line contains at least two points - is not the reason for this conclusion.

Through any two different points, exactly one line exists - is also not the reason for the above conclusion because we are concerned about only P point here.

If two lines intersect, then exactly one plane contains both lines - is not the actual reason as there is no mention of a plane in the conclusion.

If two lines intersect, then their intersection is exactly one point - this gives the actual reason for the conclusion above and the only point of intersection of two lines l₁ and l₂ is point P only. (Answer)

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A diagonal of a square is 36 feet long. What is the area of the square?
Rzqust [24]
So you can you the Pythagorean theorem to solve this problem.

if each side of the square is a certain length x, then the square is made up of two right triangles.

the sides adjacent to the right angle are length x while the hypoteneus is the diagonal whcih measures 36 feet.

a^2 + b^2 = c^2

x^2 + x^2 = 36^2

2x^2 = 1296

x^2 = 648

x = 25.456

area of a square = x^2 = 648 ft^2
3 0
3 years ago
Giovanni purchased 25tickets to an airshow. the cost of an adult's ticket is $14 and the child's ticket is $8. if the total cost
Masteriza [31]

Giovanni purchased 20 adult tickets and 5 child's tickets.

Step-by-step explanation:

Let,

x = Adult tickets

y = Child's tickets

According to given statement;

x+y=25 Eqn 1

One adult ticket costs $14 and one child ticket costs $8, therefore,

14x+8y=320 Eqn 2

Multiplying\ Eqn\ 1\ by\ 8\\8(x+y=25)\\8x+8y=200\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(14x+8y)-(8x+8y)=320-200\\14x+8y-8x-8y=120\\6x=120\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{120}{6}\\x=20

Putting value of x in Eqn 1;

20+y=25\\y=25-20\\y=5

Giovanni purchased 20 adult tickets and 5 child's tickets.

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/4460262
  • brainly.com/question/4464845

#LearnwithBrainly

6 0
4 years ago
What is the value of n in this proportion? Plz help.<br><br> 16/40 = 8/n
Vlada [557]
I think is 20 but i am not sure
8 0
4 years ago
Which property can be used to expand the expression -2(3/4x+7)
geniusboy [140]

Answer:

B. <u>the distributive property</u>

Step-by-step explanation:

<u>Distributive </u><u>property</u> can be used to expand the expression -2(3/4x+7).

When that property is used, we need to distrubute the monomial to the binomial which is the two terms.

- 2( \frac{3}{4} x  + 7) \\  \Longrightarrow \boxed{- 2( \frac{3}{4} x) +  - 2(7)}

#BrainliestBunch

4 0
3 years ago
Maureen used 0.9 meters of fabric to make a pillow. How many more pillows of this size can Maureen make with 12.75 meters of add
Basile [38]

Answer:

14

Step-by-step explanation:

12.75m/0.9m = 14

4 0
3 years ago
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