Answer:
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Step-by-step explanation:
We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.
For example, Let suppose
LM ≅ AB and AB ≅ BC, then LM ≅ BC
30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30
Thus, this validates the 'Transitive Property of Segment Congruence'.
Now Given
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Line 1: We are given the points (-3, 1) and (-7, -2).
Line 2: We are given the points (2, -1) and (8, 4).
In order to calculate the slope, we use the formula:
m = (y2-y1)/(x2-x1)
Substitute in the points to find the slope.
Line 1: (-2 - 1)/(-7 - (-3)) = -3/-4 = 3/4.
Line 2: (4 - (-1))/(8-2) = 5/6.
Answer:
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference. Subtraction is signified by the minus sign (−). For example, in the adjacent picture, there are 5 − 2 apples—meaning 5 apples with 2 taken away, which is a total of 3 apples. Therefore, the difference of 5 and 2 is 3, that is, 5 − 2 = 3. Subtraction represents removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.
Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additive identity, subtraction of it does not change a number. Subtraction also obeys predictable rules concerning related operations such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that continue these patterns are studied in abstract algebra.
Performing subtraction is one of the simplest numerical tasks. Subtraction of very small numbers is accessible to young children. In primary education, students are taught to subtract numbers in the decimal system, starting with single digits and progressively tackling more difficult problems.
In advanced algebra and in computer algebra, an expression involving subtraction like A − B is generally treated as a shorthand notation for the addition A + (−B). Thus, A − B contains two terms, namely A and −B. This allows an easier use of associativity and commutativity.
Answer:
18 students
Step-by-step explanation:
60% of 30
(60*30)/100
1800/100 = 18 students
