Answer:
0 < x < 12
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12
0 < x < 12
Answer:
Step-by-step explanation:
The measure of arc which the right triange cuts from the circle is 
this means the central angle has the same measure.
Angle with measure 
is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence
Angles with measures and 
are complementary angles (add up to 90°), so
Pythagorean theorem
c2 = a2 + b2
71^2 = 43^2 + b2
5041 = 1849 + b2
3192 = b2
b = 56.5 which is answer choice d
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
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
