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: -3/2
Step-by-step explanation:
The axis of symmetry, and thus the x-coordinate of the vertex, is given by 
So, the answer is 
Answer:
UR ANSWER IS IN THE ABOVE ATTACHMENT ☝️
Answer:
Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.
Step-by-step explanation:
For monthly membership, the cost must be less than $325. We can set up an inequality:-
100 + 30x < 325 where x = number of months of membership
Solving -
30x < 325-100 = 225
x < 225 / 30
x < 7.5 months
The answer is 7 months.
