Answer:
A. 5 < AC < 10
Step-by-step explanation:
If ∆ABC is a right angled triangle, we use the Pythagoras formula:
c² = a² + b²
Where c = longest side
When given sides AB, AC and BC, the formula becomes:
AB² = AC² + BC²
Where AB = Longest side
In the question,
AB = 10 and BC = 5.
10² = AC² + 5²
AC² = 10² - 5²
AC² = 100 - 25
AC² = 75
AC = √75
AC = 8.6602540378
Therefore, the expression that is always true = A. 5 < AC < 10
When two lines are parallel they have the same slope
so the slope of the parallel line = the slope of the line in the graph= (Y2-Y1)/(X2-X1) = (5-(-7))/(1-(-2)) = 4
Do you understand?
Answer: 1,134
Step-by-step explanation:
First, do length x width x height
6 is length , 21 is width and 9 is height
multiple all those together :)
hope that helped :) - Aliyah
Answer:
1/1024
Step-by-step explanation:
It can also be written as 1/4^5 and you just have to simplify it.
Explanation:
Only the reasons need be given here, as the statements are already given in your figure.
- Given
- Given
- Given
- Definition of congruent line segments
- Symmetric property of congruence
- Addition and substitution properties of equality*
- Segment addition theorem
- Definition of congruent line segments
- AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
