Answer:
80
Step-by-step explanation:
18^2 + 80^2 = 82
324 + 160 = c^2
A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period
Monthly income calculation
James monthly income is calculated as follows;
Monthly income =
The required <u>James' monthly personal budget </u>is presented as follows;
Based on the above monthly income, the monthly personal budget is found by entering the given values in a budget template as follows;

Savings
$944.
Learn more about how to make a budget here:
brainly.com/question/14080312
Answer:
Your answer will be 69
Step-by-step explanation:
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = 
Volume of a rectangular prism = 
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
Learn more here:
brainly.com/question/16098833
Step-by-step explanation:
<h3>Part A</h3>
<u>Angle measures:</u>
- a = x = z = 51° (as vertical angles and corresponding angles)
- b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>
Supplementary angles for a linear pair and sum to 180°.
<u>Examples are:</u>
- a and b or
- a and d or
- x and y etc.