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
79% = 0.79= 79/100
(not sure if this is what you meant?)
Answer:
(x + 2)²
Step-by-step explanation:
Given
x² + 4x + 4 ← is a perfect square of the form
(x + a)² = x² + 2ax + a²
Compare like terms
a² = 4 ⇒ a = 
= 2, thus
x² + 4x + 4 = (x + 2)²
Answer:
slope is 1/5
Step-by-step explanation:
Count how far right the point goes=1
count how far up the point goes =5
The correct questions says 5% each year for Company 2.
The amount invested in companies A and B are; $10,000 and $2000 respectively.
<h3>Percentages on Investment</h3>
Let the amount in Company 1 be; x
Let the amount in Company 2 be; y
Hence, we have the equation;
Additionally, 6% is earned on company 1 and 50% on company 2.
Therefore, we have;
by solving the equation simultaneously;
Read more on simultaneous equations;
brainly.com/question/16863577
