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mina [271]
3 years ago
9

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer:

The triangle is not right angled.

Step-by-step explanation:

According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.

For example, in triangle ABC,

AB^{2} = BC^{2}+CA^{2}

It shows, that the triangle ANBC is right angled and right angle is at C.

So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.

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What are the exact solutions of x^2 − 3x − 7 = 0?
bulgar [2K]

<u>Given</u>:

The given equation is x^{2} -3x-7=0

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}

x=\frac{3 \pm \sqrt{9+28}}{2}

x=\frac{3 \pm \sqrt{37}}{2}

Thus, the exact solutions of the given equation is x=\frac{3 \pm \sqrt{37}}{2}

Hence, Option A is the correct answer.

6 0
3 years ago
Which sampling would be appropriate to survey 120,000 people?
kipiarov [429]

Answer: Id say b

Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.

8 0
3 years ago
Please help i have no clue
kozerog [31]

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

6 0
3 years ago
Which is the best description for this graph? <br> Someone Please help me :)
wlad13 [49]
The answer would be the second one, the graph is decreasing everywhere
4 0
3 years ago
Read 2 more answers
Triangles WSR and TVR are similar. Find x.
Vlad [161]

They are similar. Set the proportions equal to each other

(x + 8)/8 = (x+14)/12

Cross multiply

(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)

12(x + 8) = 8(x + 14)

Distribute the 12 and 8 to the corresponding monomials inside the parenthesis

12(x + 8) = 12x + 96

8(x + 14) = 8x + 112

12x + 96 = 8x + 112

Isolate the x. Subtract 8x from both sides and 96 from both sides

12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)

12x - 8x = 112 - 96

4x = 16

Isolate the equal sign. Divide 4 from both sides

4x/4 = 16/4

x = 16/4

x = 4

------------------------------------------------------------------------------------------------------------------

4 is your answer for x

------------------------------------------------------------------------------------------------------------------

hope this helps

5 0
3 years ago
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