Answer:
AB= 94
Step-by-step explanation:
43+43= 86
180-86= 94
Answer:
The vertex Q' is at (4,5)
Step-by-step explanation:
Given:
Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).
Vertex point Q(-4,-5)
To find vertex Q'.
Solution:
Form the given transformation occuring the statement in standard form can be given as:
The above transformation signifies the point reflection in the origin.
For the point P, the statement is:
So, for point Q, the transformation would be:
Since two negatives multiply to give a positive, so, we have:
Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Step-by-step explanation: Given that The statements 'p', 'q' and 'r' are defined as follows.
p : it is cold,
q : it is humid,
r : it is snowing.
The statement 'it is cold and humid if and only if it is snowing' can be written as
(p∧q) ⇔ r.
We know that r ⇔ s can be written as (r⇒s)∧(s⇒r).
So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Exponents can be expressed in terms of quotient or fraction.
For example: x^6 can be expressed as x^8 / x^2 = x^8-2 = x^6.
From the question, 5^8 can be expressed as
5^10/5^2 = 5^8
(5^2)(5^8) / (5^2) = 5^8
Answer: the weight of each bags are 1.85kg, 1.85kg and 3.05 kg
Step-by-step explanation:
Total weight of the three bags is
6 3/4 kg. Converting to decimal, it becomes 6.75 kg.
Two of them have the same weight. Let x represent the bags of equal weight. Their total weight would be 2x. The third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Converting to decimal, it becomes 1.2kg. It means that the weight of the third bag would be
x + 1.2
Therefore, for the three bags,
2x + x + 1.2 = 6.75
3x = 6.75 - 1.2 = 5.55
x = 5.55/3 = 1.85
Weight of the third bag is
1.85 + 1.2 = 3.05kg
