6.
Josef receives 3$ per hour spent doing chores. So, after x hours of chores, he receives 3x dollars. This money must be added to the 10$ he would receive no matter what, so the total expression is

7.
We can test the options against the given patterns: in pattern 1, we have one black hexagon and 6 white hexagons. Let's see which equations fit: if we substitute b=1 and w=6 we have:
A)
- ok
B)
- wrong
C)
- ok
D)
- wrong
E)
- wrong
So, the only feasible answers are A or C, because all the other functions don't fit even the first pattern. Let's test the two survivors for pattern 2: we have two black hexagons and 8 white hexagons. Plugging b=2 and w=8 into A and C we have
A)
- wrong
C)
- ok
So, the answer is C, because it models correctly pattern 2 as well. For the sake of completeness, let's test this function against pattern 3 as well: we have 3 black and 10 white hexagons. Plugging b=3 and w=10 into C we have
C)
- ok
So, C models correctly all patterns, and thus describe the general rule.
An exponent is the same thing as a power. For example, 5 to the fourth power is the same as 5 with an exponent of 4.
Answer:
<em>x = 12 ; m∠R = 130° </em>
Step-by-step explanation:
(6x - 22)° + (8x + 34)° = 180°
6x - 22 + 8x + 34 = 180
14x + 12 = 180
14x = 168
<em>x = 12</em>
m∠R = (8x + 34)° = (96 + 34)° = 130°
<em>m∠R = 130°</em>
B Perimeter is the sides added up together there for 60÷4 = 15