What is the greatest number of acute angles that a triangle can contain?

Answers

Answer 1
Answer:

Answer:

The greatest number of acute angle a triangle can contain are:

3

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3.

Answer 2
Answer: 3 because you can have a 60 60 60 triangle

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what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse.  So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The  tennis court  is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

 = 15² + 20²

 = 225 + 400

 = 625

Diagonal = √625 = 25 feet

Therefore  the diagonal of a non-regulation tennis court = 25 feet

Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12

The number is negative so x=-12.

The number is -12.

Consider the following pair of equations: y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The coordinate (x,y)=(-2,-3).

We have given the  following pair of equations

y = 3x + 3.....(1)

y = x − 1.....(2)

Here we use the substitution method

What substitution method?

The value of one variable from one equation is substituted in the other equation

So the given system of linear equation

We have substitute the value of y from equation 2 into the value of y in equation one

So we get

x − 1= 3x + 3

add like terms

x-3x=3+1

-2x=4

x=4/-2

x=-2

Plug x=-2 in equation 2 we get,

y = -2 − 1

y=-3

Therefore we get the coordinate(x,y)=(-2,-3).

To learn more about the substitution method visit:

brainly.com/question/22340165


3x + 3 = x - 1 \n 3x - x =   - 1 - 3 \n 2x =  - 4 \n x =  ( - 4)/(2 )  =  - 2
Take X=-2 into y
y = x - 1 \n y =  - 2 - 1 \n y =  - 3
(x, y) =(-2,-3)

What can I multiple -8x-4y-3z=11 so that the X variable Can eliminate with 6x+8y-7z=-63

Answers

Answer:

fhk frrhjklnby

Step-by-step explanation:

g pay no of the month of November month of the year end of the day is a very happy birthday to you and your family members of the world cup final in the world cup today and today is the last date of the day of the day and the day I was in the same time for you and your family members and all the best for your future

S=(lw+lh+wh) solve for w

Answers

       S = lw + lh + wh
S - lh = lw + wh
S - lh = w(l) - w(h)
S - lh = w(l - h)
 l - h        l - h
 S - lh = w
  l - h

Ver en español Find the number that makes the ratio equivalent to 7:20

Answers

Answer:

14:40

Step-by-step explanation:

if both divided by 2 gives 7:20

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