Answer:
25
Step-by-step explanation:
Since she predicts that 80% of the invited people come, she needs to invite a number greater than 20, so that 80% of that number is 20.
Let the number of invited people be x.
80% of x must be 20.
80% * x = 20
0.8x = 20
Divide both sides by 0.8
x = 25
Answer: She should invite 25 people.
Check: Let's find 20% of 25. If it is 20, then 25 is correct.
80% of 25 = 0.8 * 25 = 20
Since 80% of 25 is 20, the answer, 25, is correct.
Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is .
- The product of the two numbers is .
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to , thus:
Substituting that information from in , we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
Answer:
A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure. Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.
Step-by-step explanation:
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)