The science of correct reasoningLogicThe drawing of inferences or conclusions from known or assumed factsReasoningUses observations and patterns to arrive at a conclusion (conjecture)Inductive reasoningUses facts, rules, definitions, or properties to arrive at a conclusionDeductive reasoningA statement that can be written in if-then formConditional statementConditional statement symbol-->The opposite meaning of the original statementNegationsA statement, example, figure, etc... that proves that a statement is falseCounterexamplesIf you live in florida, then you live in miamiFalse; counterexampleWith counterexamples you should not correct the statement and give an example of why the statement is falseTrueAll true statement do have counterexamplesFalse they do notConditional symbolp-->qSwitch the hypothesis and conclusionConverseConditional and the converseBiconditional statementsJoins the conditional and converse into one statement<span>Bionditional statements</span>
<span>Rigid motion does not change the shape of an object. if you move an object to another place, you can think of it as a new object (a copy) at the new position and it will be congruent to the object at the original position. or, if two objects are congruent, you can move one object so it lies on top of the other, showing they are congruent.</span>
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Answer:
18550cm²
Step-by-step explanation:
140×110=15400
½×70×90=3150
15400+3150=18550
