a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.
b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.
<h3>What are supplementary angles?</h3>
Two angles are called supplementary angles if the sum of their measures has a value of 180º.
The measures of the angles in this problem are given as follows:
Then the sum of the measures of this angles is given as follows:
90 + 70 = 160º.
Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.
A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480
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Answer:
<em>Part A: </em>
<em>c = 1.15p</em>
<em>c(2) = $2.30</em>
<em>Part B: </em>
<em>c = 0.90p</em>
Part B:
Step-by-step explanation:
<u>Linear Models</u>
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
Answer:
x = 2
Step-by-step explanation:
all the angles in a triangle that are added together will equal 180 degrees
so having known that you will get this equation: \/
2x+5+8x=25
then you solve
8x+2x+5=25
10x+5=25
10x=20
x=2
Answer:
32/21
Step-by-step explanation:
multiply (2/3) by (7/7) and (6/7) by (3/3). (14/21) + (18/21) is (32/21)
Answer:
45.650 centimeters
Step-by-step explanation:
The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places
Given that :
Height of vase = 45.7 when rounded to the nearest tenth
The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7
From the we know that the tenth digit before rounding is 7 - 1 = 6
And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.
To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0
Hence, the shortest possible height of the vase = 4.650
