Answer:
DC = 21 ; BC = 26
Step-by-step explanation:
The perimeter of a rectangle is given by :
P = 2(length + width)
2x + 3
3x - 1
Perimeter, P = 94
Hence,
94 = 2(2x +3 + (3x - 1))
94 = 2(2x + 3 + 3x - 1)
94 = 2(5x + 2)
94 = 10x + 4
94 - 4 = 10x
90 = 10x
x = 90 /10
x = 9
DC = 2x + 3 = 2(9) + 3 = 18 + 3 = 21
BC = 3x - 1 = 3(9) - 1 = 27 - 1 = 26
The answer is -6
because the triangle angles must measure to 180 and the scalene triangle states that the base angles add up to 86. Subtract 86 from 100, you get 94. Angle two is 94. 94-100=x
Answer:
(a) false
(b) true
(c) true
(d) true
(e) false
(f) true
(g) false
(h) true
(i) true
Step-by-step explanation:
(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False
(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.
15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is an integer multiple of 3. since 15/3=5. True
(c)∅ ⊂ A
∅ is a subset of any set. True
(d) A ⊆ A
A is a subset of itself. True
(e)∅ ∈ B
∅ is not an element, it is a subset, so it does not belong to any set. False
(f)A is an infinite set.
Yes, there are infinite integers multiple of 3. True
(g)B is a finite set.
No, there are infinite integers that are perfect squares. False
(h)|E| = 3
The number of elements that belong to E are 3. True
(i)|E| = |F|
The number of elements that belong to F are 3. So is the number of elements of E. True
Answer:
1.7
Step-by-step explanation:
Answer:
14.
let me know if you want the steps
