Is it possible to build a triangle with inside angles of 90 degrees , 50 degrees, and 60 degrees?
1 answer:
Answer:
No
Step-by-step explanation:
Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees
To check : if it possible to build a triangle with given angles
Solution:
According to angle sum property of a triangle, sum of angles of a triangle is equal to
Here,
sum of given angles =
Therefore, it is <u>not possible</u> to construct a triangle with given angles.
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Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = = 3
Answer:
D) 1/5 e 1/3
Step-by-step explanation:
You have the following quadratic equation:
(1)
In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:
Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:
Then, the roots of the equation (1) are
D) 1/5 e 1/3