Answer:
50
Step-by-step explanation:
first angle = x
second angle = x+30
third angle = 4x
x + (x+30) + 4x = 180
6x + 30 = 180
6x = 180 - 30
6x = 150
x = 150:6
x = 50
The answer would be 32.258 centimetres
The equation 
is
Some observations:
is defined only as long as 
, or 
- wherever is defined, its value must be non-negative, so that
is never positive - by the definition of absolute value, we have
if 
, and 
if 
. Then
If , the equation becomes
Taking the square of both sides gives
but since the discriminant is 
, there are no real solutions.
If , then
Taking squares gives
and solving by the quadratic formula gives two potential solutions,
which have approximate values of 8.49 and 26.51.
We know for any value of 
that 
. We have 
and 
, so only the first solution 8.49 is valid.
Answer:
a. 7(2g + 20t –3)
b. 14g + 140t – 21
Step-by-step explanation:
a. The first expression 7(2g + 20t – 3)
Stacey and her six friends implies that we have 7 members in the group.
Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.
The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).
b. The second expression 14g + 140t – 21
The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.
Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.
