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Evgen [1.6K]
3 years ago
8

In Exercises 10–14, use the diagram to determine whether you can assume the statement.

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

  it depends on what he means

Step-by-step explanation:

The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.

If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.

If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.

__

So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.

If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).

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PLEASE HELP!!!!! DUE TODAY!!!!!
prisoha [69]

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

Radius of the circular top of the cone = \frac{\text{Diameter}}{2} = \frac{2}{2}=1

Height of the cone = h

Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

l² = r² + h²

6² = 1² + h²

h = \sqrt{36-1}

h = \sqrt{35}

Ice cream needed to fill one cone = Volume of the cone

Since, formula for the volume of the cone V = \frac{1}{3} \pi r^{2} h

V = \frac{1}{3}\pi (1)^2(\sqrt{35})

   = 6.195

   ≈ 6.20 cm³

Ice cream needed to fill the two cones = 2 × 6.20

                                                                 = 12.4 cm³

Therefore, ice cream needed to fill the two cone = 12.4 cm³

4 0
3 years ago
The circumference of a flower garden is 247 ud. What is the area of the flower garden in terms of
lisov135 [29]

Answer:15252.25π^3

Step-by-step explanation:

Radius=r

Circumference=247 ud

Circumference=2 x π x r

247=2πr

Divide both sides by 2π

247/2π=2πr/2π

123.5π=r

Radius=123.5π

Area of circle=π x r x r

Area of circle=π x 123.5π x 123.5π

Area of circle=15252.25π^3

4 0
3 years ago
Which graph has slope of 2
Vlad [161]

Answer:

D

Step-by-step explanation:

It would be D because the formula to find slope is y divide by x. Graph D has a y of 2 and a x of 1 which you divide to get 2 which would be your answer

6 0
2 years ago
Read 2 more answers
How do you reverse 16 / 4
Llana [10]
Divide and if u divide by 4 it would be 4/1 so the it the answer would be 4
7 0
2 years ago
Someone h e l p me on this it is geometry
ladessa [460]

BC = 6 km

<u>/</u><u> </u> ACB = 34°

AC = ?

cos 34° = \frac{BC}{AC}

=> 0.829 = \frac{6}{AC}

=> AC = \frac{6}{0.829}

=> AC = 7.23763570567

=> AC = 7 km

=> AC = 10 km\:\:\:\:\:\:\:\: (nearest tenth)

\\

<h3>Answer : 10 km</h3>

\\\\\\\\

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

7 0
3 years ago
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