Answer:
x = 105 degrees.
Step-by-step explanation:
The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =
135 degrees.
So angle x = 360 - ( 120 + 135)
= 360 - 255
= 105 degrees.
Note we use the fomula T = 180( n - 2) to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.
Answer:
$100
Step-by-step explanation:
Given:
If the amount collected from sales on Wednesday was <u>$75 greater</u> than the amount collected from sales on Tuesday, then Tuesday's sales were $75 <u>less</u> than Wednesday's sales:
- Tuesday sales = $350 - $75 = $275
If the amount collected from sales on Wednesday was <u>two times as great</u> as the amount collected from sales on Monday, then Monday's sales were <u>half</u> Wednesday's sales:
- Monday sales = $350 ÷ 2 = $175
To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, <u>subtract</u> the Monday sales from the Tuesday sales:
Answer:


Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:



They are all equal to
.
So we are saying:

More formally:
.
Multiply both sides by
:

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is:


For this case, as Josh worked more than 40 hours, he was able to receive a payment
($ 8.20 / h) * (40 h) = 328
1.5(8.20) *8.75 = <span>
<span>107.625
</span></span> 328+107.625= 435.625
the gross earnings for Pruitt are 435.625 $