Negation...means put " not " in both the hypothesis and conclusion
if a parallelogram DOES NOT have 4 congruent sides, then it is NOT a rhombus.
We determine the third side of a triangle if we are given certain measurements or parameters like two sides and an angle, two angles and one side or two sides and the type of triangle. For this case, we are only given the measurement of the two sides of the triangle. In order to solve the third side, we assume that the triangle is a right triangle where one angle is a right angle. From this assumption, we use the Pythagorean Theorem:
c^2 = a^2 + b^2 where c is the hypotenuse, a and b are the remaining sides of the triangle
From this assumption, we can already calculate the third side by either assuming that 15 in. is the hypotenuse or to assume the two to be the shorter sides of the triangle. By assuming 15 in. to be the hypotenuse, we obtain a measurement of the third side a value of 10.20 in. while assuming the latter we obtain a value of 18.60 in. From the claim of Aziza, she is correct when she said that the third side is greater than 4 in. however she is wrong in claiming that the third side can have any length since a triangle has always its corresponding parameters depending on what type it is or the measurements being given in the problem. For this case, the third side can be 18.60 in. or 10.20 in.
Given:
There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.
To find:
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.
Solution:
Part a:
Let x be the first odd integers. Then next consecutive odd integer is 
, because the difference between two consecutive odd integers is 2.
Part b:
Square of first odd integers = 
Three times of second odd integers = 
It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:
Part c:
The equation is:
It can be written as:
Splitting the middle term, we get
-6 is not an odd integer, so 
and the first odd integer is 3.
Second odd integer =
= 
= 
Therefore, the two consecutive odd integers are 3 and 5.
Answer:
2 in the hundredths place is greater
Step-by-step explanation:
2 in the hundredths place is 10 times the thousands place
