<u><em>Answer:</em></u>
SAS
<u><em>Explanation:</em></u>
<u>Before solving the problem, let's define each of the given theorems:</u>
<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle
<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle
<u>Now, let's check the given triangles:</u>
We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
This means that the two triangles are congruent by <u>SAS</u> theorem
Hope this helps :)
The total amount of her savings 12,058.78
Answer:
175,760,000 possible license plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
=
26
^3
and 4 spots where there are 10 choices each (the digits 0 through 9,
=
10
^4
This gives:
26^3*10^4=175,760,000
Hope this Helps...!!
Answer:
9
Step-by-step explanation:
Given,
Side of square = 3 feet.
To find : Area of square = ?
Formula : -
Area of square = ( side )²
Area of square
= 3²
= 3 x 3
= 9 feet²
Therefore,
The unit of it's area will be 9 feet².
Answer:
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
Step-by-step explanation:
We want to know which type of variable represent the weigth and the height. Let's analyze one by one the options given:
A. Ordinal
False since by definition an ordinal variable is "is a categorical variable for which the possible values are ordered". And for this case the height and the weigth are not categorical since represent quantitative data.
B. Nominal
False by definition and ordinal variable is which one that can't be represented by numeric values, and for this case the weight and the height are not example of this definition.
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
D. Interval
False on this scale we don't have a clear definition of the 0. And for this case the heigth and the weight have a known definition of the 0 corresponding to the absence of mass. And since the ratios are meaingful for the heigth and the weigth then can't be an interval variable.
