The given statement is true.
Step-by-step explanation:
Given sets are:
D = {x|x is a whole number}
E = {x|x is a perfect square between 1 and 9}
F = {x|x is an even number greater than or equal to 2 and less than 9}
as the sets are given in set builder notation,, we will first write the sets in set notation.
So,
D = {0,1,2,3,4,...}
E = {4,9}
F = {2,4,6,8}
Now,
EUF = {4,9} U {2,4,6,8}
= {2,4,6,8}
Hence,
The given statement is true.
Keywords: Union,sets
Learn more about sets at:
#LearnwithBrainly
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The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>
Solution
Let x = registration fee
y = cost/downloads
Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50
Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95
for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5
It is given that, B ≅ BC and AD ≅ CD
We need BD perpendicular to AC, then only we can say triangles AXB and CXB are congruent using the HL theorem.
If BD perpendicular to AC, means that AB and CB are the hypotenuse of triangles AXB and CXB respectively.
from the given information ABCD is a square
If BD and AC bisect each other then AX = CX
Then only we can immediately possible to prove that triangles AXD and CXD are congruent by SSS congruence theorem
