The answer is 36.86
(I think)
Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Answer:
Step-by-step explanation:
Let the unknown angle be x
As the interior angles in a triangle are added up to 180°
Hope this helps you.
Let me know if you have any other questions:-)
Answer:
$2,954.91
Step-by-step explanation:
interest = (principal) × (interest rate) × (term)
Interest = $2000 * 0.05 * 8
interest = $2,954.91
5% / 100 = 0.05
