Any rational number that is -9 up (-10, -11, -12, etc.) is an integer less than -8
Answer:
Step-by-step explanation:
we know that
The incenter of a triangle is the meeting point of the three angle bisectors of a triangle.
so

we have
-----> given problem
so
Remember that
In a triangle the sum of the internal angles must be equal to
so
In the right triangle OQB
substitute
Answer:
-8 or +7
Step-by-step explanation:
Let x represent the number. The the problem statement tells us ...
x² + x = 56
x² +x -56 = 0 . . . . . subtract 56 to put into standard form
(x +8)(x -7) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = -8 . . . or . . . x = +7
The number could be -8 or +7.
_____
<em>Check</em>
For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.
For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.
Answer:
<h2>The obtuse angle is 120°.</h2><h2>The acute angle is 60°.</h2>
Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression

Where
is an acute angle and
is an obtuse angle.}
Using all the given information, we have

Solving for
, we have

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Answer:
Hey! x
≤
4 is your answer..
Step-by-step explanation:
Hope this helps!
Graph is down below!