Answer:
The answer is given below
Step-by-step explanation:
A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}
Negative 5 squared is negative 25
Answer:
Step-by-step explanation:
Given the expression
solving the expression
combine the fractions i.e 
add similar elements i.e 
Thus,
Answer:
Answer is 60.
Step-by-step explanation:
Two equations, two unknowns.
As you said, let x be the number of $5 items and y the number of $25 items.
First equation is based on VALUE (second sentence):
5x + 25y = 1950
Second equation is based on NUMBER (third sentence):
x + y = 150
Now solve. Easy way is rearrange the second equation (x = 150 - y) and sub into the first:
5(150 - y) + 25y = 1950
750 - 5y + 25y = 1950
20y = 1200
y = 60
Since y represented the number of items sold at $25, 60 is the number of items.
Answer:
Step-by-step explanation:
Triangle ABC is an equilateral triangle, then:
=> angle ABC = angle BAC = angle ACB = 60 deg
AB // CE, according to alternative interior pair of angles theorem:
=> angle ACE = angle BAC = angle ABC = 60 deg (1)
B, C, and D are colinear, then:
angle ECD + angle ACE + angle ACB = 180 deg
=> angle ECD = 180 - angle ACE - angle ACB = 180 - 60 - 60 = 60 deg (2)
From (1) and (2):
=>angle ACE = angle ECD = 60 deg
