All categories

3 years ago

How many triangles can be constructed with angles measuring 90 degree, 60 degree, and 60 degree?

2 answers:

7 0

<span>The correct option is: Option (C) None

Explanation:
All triangles must satisfy the following condition:

"The sum of all the angles of a triangle should be 180°."

90° + 60° + 60° = 210°

210° > 180°; therefore, the condition of a triangle is NOT satisfied.

Hence the correct option is "(C) None." (as the condition of a triangle is not satisfied)</span>

OLEGan [10]3 years ago

6 0

Answer:

Option C ) None

Step-by-step explanation:

In Euclidean geometry we have sum of 3 angles of any triangle would be 180 degrees or 2 right angles.

Here given that angles of a triangle are 90,60 and 60

When we add up we get

90+60+60 =210>180

Since sum of angles is not equal to 180, the figure formed is not at all a triangle,

Hence no triangle can be drawn with angles measuring 90 degree, 60 degree, and 60 degree

Correct option is

Option C) NOne

You might be interested in

ABCD is a rectangle. AD = 15, AC = 25, and DC = 20. Find BD.

agasfer [191]

Answer:

Step-by-step explanation:

it is the same length as DC just going diagonal.

(i am not good at explaining in case you could not tell)

6 0

3 years ago

What type of number is v5?

scoundrel [369]

The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.

7 0

3 years ago

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

3 years ago

HELP i rlly need help bc its a test so reply fast

melomori [17]

Answer:

The answer is D.

Step-by-step explanation:

4 0

3 years ago

Please help me with this question. Thanks!

olasank [31]

Assuming that all the grapes have the same probability of being randomly picked:

a) 0.11
b) 0.24

<h3>How to find the probabilities?</h3>

We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.

a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:

P = 8/23

But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:

P' = 7/22.

The joint probability is the product of the two individual probabilities:

prob = (8/23)*(7/22) = 0.11

b) For the first green grape we know that the probability is:

P = 8/23

Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:

P' = 15/22

Then the joint probability is:

prob = (8/23)*(15/22) = 0.24

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

8 0

3 years ago