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
#SPJ1
Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V = 
× r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V = × r² × h
V = × <u>6.5²</u> × 24
V = × <u>42.25 × 24</u>
V = × 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
