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2 years ago

Which properties are necessary to claim that the two prisms are congruent? Check all that apply.

Mathematics

1 answer:

pav-90 [236]2 years ago

7 0

Answer:

1. The volumes are equal.

2. The base areas are equal.

3. The prisms have the same height.

Step-by-step explanation:

I don't see no answered to check all that apply but here is the answers about properties and two prisms

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Proof by Contradiction : Show that √ 2 is irrational.

myrzilka [38]

Answer:

$\sqrt2$ is irrational

Step-by-step explanation:

Let us assume that $\sqrt2$ is rational. Thus, it can be expressed in the form of fraction $\frac{x}{y}$ , where x and y are co-prime to each other.

$\sqrt2$ = $\frac{x}{y}$

Squaring both sides,

$2 = \frac{x^2}{y^2}$

Now, it is clear that x is an even number. So, let us substitute x = 2u

Thus,

$2 = \frac{(2u)^2}{y^2}\\y^2 = 2u^2$

Thus, $y^2$ is even, which follows the fact that y is also an even number. But this is a contradiction as x and y have a common factor that is 2 but we assumed that the fraction $\frac{x}{y}$ was in lowest form.

Hence, $\sqrt2$ is not a rational number. But $\sqrt2$ is a an irrational number.

5 0

3 years ago

rationalize the dominator and simplify the following expressions into the simplest possibke surds: i. 8/√2 + 2√50

Akimi4 [234]

Answer:

8/√2 + 2√50

8√2/2 + 2√50

4√2 + 10√2

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4 0

3 years ago

The intersection of a line and a triangle can be

Alex787 [66]

Answer:

nothing

a point

a segment

Step-by-step explanation:

nothing

a point

a segment

4 0

2 years ago

SOMEONE ANWSER QUICK !

xenn [34]

Answer:

I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.

Step-by-step explanation:

6 0

3 years ago

A triangle has sides with links that are consecutive odds intergers .The perimeter of the triangle is a hunt is 144 cm what's th

Rasek [7]

Answer:

50cm

Step-by-step explanation:

If the sides are consecutive odd integers,

Let the smallest side=y

The other sides are y+2 and y+4

The perimeter=144cm

y+y+2+y+4=144

3y+6=144

3y=144-6

3y=138

y=138/3=46cm

Therefore, the largest side of the triangle:

y+4=46+4=50cm

Therefore, the largest side of the triangle is 50cm

5 0

3 years ago