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3 years ago

If a triangle is a right triangle, then the other two angles must be acute.

1 answer:

3 0

The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.
The statement is TRUE.

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ <em> use the distributive property</em>

$y-4=\dfrac{1}{2}x+1$ <em>add 4 to both sides</em>

$y=\dfrac{1}{2}x+5$ - slope-intercept form

3 0

3 years ago

Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achi

Oxana [17]

Answer:

Step-by-step explanation:

78 + b = 91 Equation: Subtract 78 from both sides.

b = 91 - 78

b = 13

You don't need her position in the game or the fact that 91 placed her second.

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3 years ago

_______ will produce a rational answer when multiplied by 0.9

harkovskaia [24]

Answer:

Step-by-step explanation:

A rational number is 9.

When you multiply 0.9x10 you get the sum of 9.

9 is a rational number because it is a perfect square and an integer.

I hope this helps you understand :)

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3 years ago

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Answer: 25%

Step-by-step explanation:

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3 years ago

Which would NOT be an appropriate way to generate 10 random integers to use in one trial of a probability simulation?

Vlada [557]

A. Make a list of the first 10 integers that come to your head should NOT be used

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3 years ago

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