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tankabanditka [31]
3 years ago
6

What is the minimum number of pieces of information you think you would need in order to prove that a given quadrilateral is a s

quare? When you answer this question, post your answer along with theorems, postulates, or definitions that support your answer. Come to a conclusion as a group about what the minimum number is, as well as if there is more than one way to prove a quadrilateral is a square using that minimum number of pieces of information.
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

At least 4 numbers of information is needed

The four are highlighted below in the explanation section

Step-by-step explanation:

1. Given that the shape has four right angles and that all its sides are congruent then it's a quadrilateral

2. If two sides are consecutively congruent it is a quadrilateral shape

3. If a rhombus contains a right angle, then it’s a square shaped rhombus

4. If a quadrilateral is both a rectangle and a rhombus, then it’s a square

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USPshnik [31]
Your answer would be 0.5 ;) Hope this helps
3 0
3 years ago
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

\frac{sin(113)}{15} = \frac{sin(B)}{8}

Solving for B, we have:

sin(B)=0.4909

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0
3 years ago
Please help me with this question ​
WINSTONCH [101]

Answer:

it is not linear

Step-by-step explanation:

5 0
3 years ago
What mathematicians helped to discover alternatives to euclidean geometry in the nineteenth century
Likurg_2 [28]

Answer:

Nikolai Lobachevsky and Bernhard Riemann

Step-by-step explanation:

Nikolai Lobachevsky (A russian mathematician born in 1792) and Bernhard Riemann (A german mathematician born in 1826) are the mathematicians that helped to discover alternatives to euclidean geometry in the nineteenth century.

7 0
3 years ago
Solve please. Brainliest for best answer.
NikAS [45]

Answer:

x=7

Step-by-step explanation:

3ˣ⁻⁵=9

3ˣ⁻⁵=3²

x-5=2

x=2+5

x=7

4 0
3 years ago
Read 2 more answers
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