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3 years ago

Which diagram represents the postulate that states exactly one line exists between any two points?

Mathematics

2 answers:

Vitek1552 [10]3 years ago

7 0

Answer:

The diagram is attached with this answer

Step-by-step explanation:

In the diagram there are two points, point P and point Q. It is impossible to have more than one line between these points, so exactly one line exists between them.

likoan [24]3 years ago

6 0

Answer:

Check attachment for the diagram

Step-by-step explanation:

Given two points A and B in the diagram attached, we see that exactly one line exists between these points.

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Can you answer this Algebra question please? (Just A, thank you).

Eduardwww [97]

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3 years ago

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

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3 years ago

Sam is 6 years older than marlon. The sum of their ages is 30. Find Sam and marlons age.

Triss [41]

Answer:

Sam = 18 and Marlon = 12

Step-by-step explanation:

If Sam is 6 years older but added is 30 then Sam could 18 and Marlon 12.

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3 years ago

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If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.

Snezhnost [94]

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

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2 years ago