Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
Answer:
For 
, x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :
Now, using the ALGEBRAIC IDENTITY:
Comparing this with the above expression, we get
⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for , x = 2, or x = - 2.
The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²
Step-by-step explanation:
Let us represent some words by mathematics expressions
- Square a number ⇒ x²
- Square the sum of two numbers ⇒ (x + y)²
- Sum of the squares of two numbers ⇒ x² + y²
- Square of difference of two numbers (x - y)²
- The difference of square two numbers x² - y²
∵ The expression is the square of the difference of s and 6
- That means find the difference between s and 6 at first,
then square the difference
∵ The difference of s and 6 = s - 6
- Square this difference means but the difference in a bracket
and then square the bracket
∴ The square of the difference = (s - 6)²
The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²
Learn more:
You can learn more about the algebraic expressions in brainly.com/question/10771256
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I’ll need to see the table and I’ll be able to help
Answer:
C
Step-by-step explanation:
Since these lines have the same slope and different y-intercepts, they are parallel lines. As such lines do not intersect, we can say that :
The system has no solutions.
