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3 years ago

How many unique triangles can be made when one angle measures 90° and another angle is half that measure?

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

We can have infinite such triangles possible.

Step-by-step explanation:

When one angle measures 90° and another angle is half that measure i.e. the measure of the second angle is 45° and hence the measure of the third angle is 45° ( subtract addition of 90 and 45 from 180)

" You can have many different length combinations for a triangle and still have the same angles in the triangles. If you know all the 3 angles (make sure they sum to 180), then you can form an Infinite number of triangles "

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What is the greatest common factor of the polynomial expression 2x^3 - 4x^2 + 6x?

iren2701 [21]

Step-by-step explanation:

$2 {x}^{3} - 4 {x}^{2} + 6x \\ = 2x( {x}^{2} - 2x + 3) \\ \because \: 2x \: is \: common \: from \: all \: terms \\ \therefore \: greatest \: common \: factor = 2x$

5 0

3 years ago

Once every week, the 5 members of the band have lunch together. They always order the same number of pizzas and sodas and split

Illusion [34]

We can find this out by taking the total (23.70) and dividing it by the 5 band members, getting the number 4.74. Now we do this again, but with the extra band member we get 3.95. Now the last step it 4.74 - 3.95, which is 0.79. So each band member payed 0.79 less than normal.

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3 years ago

The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the

Fynjy0 [20]

Answer:

We conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

Step-by-step explanation:

Given

The point (-2, 3)

Checking option A

Given the equation

y = 3x-2

substitute x = -2 and y = 3

3 = 3(-2) - 2

3 = -6 - 2

3 = -8

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y = 3x-2.

Checking option B

Given the equation

y = -x+1

substitute x = -2 and y = 3

3 = -(-2)+1

3 = 2+1

3 = 3

TRUE!

L.H.S = R.H.S

Thus,

The point (-2, 3) satisfies the equation y = -x+1.

Checking option C

Given the equation

y=x-1

substitute x = -2 and y = 3

3 = -2-1

3 = -3

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=x-1.

Checking option D

Given the equation

y=2x+3

substitute x = -2 and y = 3

3 = 2(-2)+3

3 = -4+3

3 = -1

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=2x+3.

Conclusion:

Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

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3 years ago

Translate the sentence into an inequality The product of b and 3 is at least -22

Sedaia [141]

Answer:

$3b \geq -22$

Step-by-step explanation:

Product of of 3 and b is 3b

At least means greater than or equal too.

$3b \geq -22$

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3 years ago

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elixir [45]

The answer is $50 per month

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3 years ago