Answer:
The last one
Step-by-step explanation:
A scalene triangle has no similarities between the angles or the sides
In the shown triangle none of the sides are similar and none of the angles are congruent therefore this is a scalene triangle
Reasons why its not the other answers
- This is not an acute triangle. In order for it to be an acute triangle all of the angles have to have a measure less than 90 degrees. There is an angle with a measure of 120 degrees the triangle is not an acute triangle
- This triangle is not an isosceles triangle. In order for it to be an isosceles triangles it has to have at least one congruent side. None of the sides are congruent therefore it is not an isosceles triangle
- This is not a right triangle. In order for it to be a right triangle one of the angles has to have a measure of 90 degrees. Because none of the angles measure 90 degrees it is not a right triangle
In conclusion the answer would be that this triangle is a scalene triangle
We can one theorem to help us find rational roots of this polynomial.
2x^3 + x^2 - 4x - 2
We'll use Descartes' rule of signs.
Because there is 1 sign change, 1 of the 3 roots will be positive.
Now we can make the value of x -1 to see how many negative roots there will be.
-2 + 1 + 4 - 2
There are 2 sign changes, so we know there will be 2 negative roots.
Because of this, we should have 3 real, rational roots.
59 = j + 29
59-29=j+29-29
30 = j
(or you could rewrite it as j=30)
hope this helps!! :)
Answer:
10x
Step-by-step explanation:
The height on the left is the same as the height on the right:
(2x -y) +(y) = (2x)
2x = 2x . . . . . not particularly helpful
The width across the top is the same as the width across the bottom:
3x = (y) +(4x -2y)
y = x . . . . . . . . add y-3x to both sides
The perimeter is the sum of side lengths. Working clockwise from the top, that is ...
P = 3x +2x +(4x-2y) +y +y +(2x -y) = 11x -y = 10x
The perimeter is 10x. (or 10y, if you like)
