Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:
Solve for the scale factor <em>k: </em>
<em />
<em />
<em />
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
In conclusion, the area of ΔEDF is 9.6 square inches.
The length of side DE is 3cm
<h2 /><h3>Parallel line</h3>
Since the line AC is equivalent to DE, hence AC = DE
To get the length of DE, we will need to get the length oF AC using the Pythagoras theorem:
Given the following parameters
Hypotenuse = 5
Opposite = 4
Required
Adjacent side
Substitute the given parameters into the formula of Pythagoras theorem.
AC² = 5² - 4²
AC² = 25 - 16
AC² = 9
AC = 3
Hence the length of side DE is 3cm
Learn more on Pythagoras theorem here: brainly.com/question/12306722
Answer:
B
Step-by-step explanation:
change in y for each change in x:-2
y-intercept: 6
we know that
For the function shown on the graph
The domain is the interval--------> (-∞,0]
All real numbers less than or equal to zero
The range is the interval--------> [0,∞)
All real numbers greater than or equal to zero
so
Statements
<u>case A)</u> The range of the graph is all real numbers less than or equal to 
The statement is False
Because the range is all numbers greater than or equal to zero
<u>case B)</u> The domain of the graph is all real numbers less than or equal to
The statement is True
See the procedure
<u>case C)</u> The domain and range of the graph are the same
The statement is False
Because the domain is all real numbers less than or equal to zero and the range is is all numbers greater than or equal to zero
<u>case D)</u> The range of the graph is all real numbers
The statement is False
Because the range is all numbers greater than or equal to zero
therefore
<u>the answer is</u>
The domain of the graph is all real numbers less than or equal to
