True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.
This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
Answer: Their weekly pay would be the same if xx equals $1,600
Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;
Khloe = 245 + 0.095x ———(1)
Emma = 285 + 0.07x ———(2)
Simply put, we need to find the value of x when equation (1) equals equation (2)
245 + 0.095x = 285 + 0.07x
Collect like terms and we now have
0.095x - 0.07x = 285 - 245
0.025x = 40
Divide both sides of the equation by 0.025
x = 1600
Therefore their weekly pay would be at the same level, if x equals $1600
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is
The standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically evaluated as



From the z - table the p-value is obtained and the value is


Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (3, 0)
Point (0, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Plug in points to find the rate of change of the graph.
- Substitute [SF]:

- Subtract:

- Rewrite:

Answer:
B. Estimate: 48; Exact Product: 48.852
Step-by-step explanation:
5.9 rounds to 6 and 8.28 rounds to 8. Therefore the estimate would be the product of 6 and 8 which is 48.