Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have

Answer:
x=4
Step-by-step explanation:
Pentagon's sum of interior angle is 540°
let's add all the given degrees
100+20x+16x+16+140+160-5x=540
Collect like terms
100+16+140+160+20x+16x-5x=540
416+31x=540
31x=540-416
31x=124
x=124/31
x=4```
Answer:
the first five terms are
a1 = 6
a2 = 24
a3 = 60
a4 = 120
a5 = 210
Step-by-step explanation:
the experission used to find the five terms is
an = n3+ 3n2+ 2n
Answer:
0.2
Step-by-step explanation:
Given:
Total number of students = 20
Number of students who have brown hair = 12
Number of students who have blonde hair = 4
Number of students who have red hair = 3
Number of students who have black hair = 1
To find:
Probability of randomly selecting a blonde-haired student from the classroom.
Solution:
Probability refers to chances of occurring of some event.
Probability = Number of favourable outcomes/ Total number of outcomes
Number of favourable outcomes ( Number of students who have blonde hair ) = 4
Total number of outcomes = 20
So,
Probability of randomly selecting a blonde haired student from the classroom = 
Answer
6/-11
Step-by-step explanation:
use the slope formula m=
then sub in numbers m=
now subtract numerator and the denominator
and
this now looks like