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4 years ago

Choose the kind(s) of symmetry. (Select all that apply.)

Mathematics

2 answers:

LenaWriter [7]4 years ago

6 0

Answer:

The kinds of symmetry the letter H has Point , Line and plane symmetry

Explanation:

Point symmetry states that when every part has a matching part:

the same distance from the central point, but in the opposite direction.

Line of symmetry states that it creates two congruent figures that are mirror images of each other

Plane symmetry states a crystal that divides the crystal into two parts that are mirror images of each other.

Given letter H has line of symmetry because the letter folded in half in any way with the parts matching up.

Also, H has plane and Point Symmetry.

olchik [2.2K]4 years ago

6 0

Answer:

Point Line Plane

Step-by-step explanation:

Just did this. Sorry i am late

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In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothes

tigry1 [53]

An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).

<h3>The importance of mathematical proofs.</h3>

Generally, some of the importance of mathematical proofs include the following:

They elucidate on why a conjecture is false (untrue).

It provides a rational and logical justification for a theory.

In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:

It leads to the misinterpretation of concepts and theories.

It produces wrong results.

Outside the world of geometry, there are different kinds of proofs and these include:

The Big Bang theory.
Reflection of light by a plane mirror.
Surface tension in water.

Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.

Read more on proofs here: brainly.com/question/26283907

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2 years ago

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

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3 years ago

Use the following statements to find a compound statement for (p∨q)∧rp∨q)∧r p: 5<-3 q: All vertical angles are congruent. r:

guajiro [1.7K]

Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
q : All vertical angles are congruent.
r: 4x = 36, then x = 9.

Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".

Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>

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4 years ago

What kind of triangle is ABC? Select all that apply.

iVinArrow [24]

This is a right triangle. If the triangle were laid down, on an end, a right angle would be visible.

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2 years ago

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lorasvet [3.4K]

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Step-by-step explanation:rgr

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3 years ago

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