Answer:
<em>- 112 + 100 n</em>
Step-by-step explanation:
= 
+ (n - 1 )d
~~~~~~~
= - 12
d = 100
= - 12 + 100( n - 1 )
= - 12 + 100n - 100
<em>= - 112 + 100 n</em>
Answer:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
Answer:
V= 105cm^3
Step-by-step explanation:
V=volume
(1/3)V+40=(5/7)V
(5/7)V-(1/3)V=40
(15/21)V-(7/21)V=40
(8/21)V=40
(21/8)(8/21)V=(21/8)(40
V=21*5
V=105 cm3
(1/3)(105)=35, 35+40=75, 75/105=15/21=5/7
