Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.
Answer:
"f(x)
domain: all real numbers, range: all real numbers
f–1(x)
domain: all real numbers, range: all real numbers"
Step-by-step explanation:
We can use the fact that the domain of a function and the range of its inverse are equal.
Also, the range of the function and the domain of its inverse are equal as well.
<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>
As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.
For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.
First answer choice is right.
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is
We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is
Cancel out common factor.
Therefore, the simplified form of given expression is 3/5.
Answer:
y = -4x + 9
Step-by-step explanation:
