We compute for the side lengths using the distance formula √[(x₂-x₁)²+(y₂-y₁)²].
AB = √[(-7--5)²+(4-7)²] = √13
A'B' = √[(-9--7)²+(0-3)²] = √13
BC = √[(-5--3)²+(7-4)²] = √13
B'C' = √[(-7--5)²+(3-0)²] =√13
CD = √[(-3--5)²+(4-1)²] = √13
C'D' = √[(-5--7)²+(0--3)²] = √13
DA = √[(-5--7)²+(1-4)²] = √13
D'A' = √[(-7--9)²+(-3-0)²] = √13
The two polygons are squares with the same side lengths.
But this is not enough information to support the argument that the two figures are congruent. In order for the two to be congruent, they must satisfy all conditions:
1. They have the same number of sides.
2. All the corresponding sides have equal length.
3. All the corresponding interior angles have the same measurements.
The third condition was not proven.
Answer:
Every person in the US.
Step-by-step explanation:
- If a selection of logo artists are asked whether they like or not the new logo, their answer will represent only the opinion of a specific group of artists of the US, and this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
- If 3,800 children age 5-15 are asked whether they like the logo or not, their opinion will only represent the opinion of some children in the US, whose age is between 5 and 15, and again, this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
- Finally, the population (which by definition includes all the elements under study, in this case, all the people in the US) will be defined by all people in the US: if the company wants to know if people from the US like their new logo, they must take into account that, the population under study is all people, and not a biased selection of it.
Step-by-step explanation:
Thank you buddy
have a great day ahead
The answer is 1:11. After it being simplified from 6:66. Hope this helps.
Answer:
The expression equivalent to 486-9+6+3^*2 is 500-7+6+5^*2
Step-by-step explanation:
486-9+6+3^*2 = 500-7+6+5^*2
486-9+6+9 = 500-7+6+25
486-24 = 500-38
462 = 462